Algebra

Problem 31101

Simplify the expression by combining like terms: $-2 x - 2 y^{2} - 3 - 4 y^{2} - 5 x + 1$

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Problem 31102

Simplify the expression: $(4 x^{2}+7 x-4 x^{4})-(6 x^{4}-5 x+1)$ .

See Solution

Problem 31103

A ball is thrown down at $50 \mathrm{ft/s}$ from a 56 ft building. Find the time it stays in the air using $s(t)=-16 t^{2}-50 t+56$ .

See Solution

Problem 31104

Simplify the expression: $3(x^{2}+2x+5)+2(x^{2}+3x+2)$ .

See Solution

Problem 31105

Graph the function $f(x)=\frac{1}{9} x^{2}$ and find its domain and range.

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Problem 31106

Combine the polynomials: $(4v^4 + v + 4v^3) + (8v^4 + 7v + 3v^3)$ .

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Problem 31107

Find the equation of the line that goes through the point $(10,3)$ with a slope of $-\frac{3}{2}$ .

See Solution

Problem 31108

Simplify the expression: $(3 b^{4}+2 b^{3}+6 b)+(8 b^{2}-7 b^{4}-3 b)$ .

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Problem 31109

Graph the function $f(x)=\frac{1}{9} x^{2}$ and find its domain and range. Choose from A, B, C, or D.

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Problem 31110

$16 x^{4}-25 x=021-18011$

See Solution

Problem 31111

ب) جد المعادلة الديكارتبة للمعادللتين البار امتريتين : $0 \leq t \leq 2 ، x=\sqrt{4-t^{2}}$ ،

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Problem 31112

9. Find the equation of a line perpendicular to the line $x-2 y-3=0$ and passing through the point $(1,-2)$

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Problem 31113

Simplify. $\frac{x^{2}}{x^{7}}$

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Problem 31114

Simplify. $\begin{array}{l} 5 b c \\ 35 c d \end{array}$

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Problem 31115

Simplify. $\frac{8 u^{2}}{48 u^{5}}$

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Problem 31116

Rewrite without parentheses and simplify. $(x-4)^{2}$

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Problem 31117

\begin{align} f(-6) &= 1, \\ f(-5) &= 3, \\ f(-2) &= 0, \\ f(-1) &= -1, \\ f(0) &= 0, \\ f(4) &= 4, \\ f(6) &= 2, \\ f(8) &= 2. \end{align} Determine if the function $f(x)$ is even, odd, or neither based on the given values.

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Problem 31118

Find the slope-intercept form of a line that passes through $(5,-3)$ with a slope of -4.

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Problem 31119

Simplify the expression: $(2 v^{4}+3 v-3 v^{2})+(v^{4}-5 v^{2}+5 v)$ .

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Problem 31120

Simplify the expression: $\frac{1}{\sqrt{0+14}+\sqrt{14}}$

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Problem 31121

Solve the inequality $x + 5 \leq 3$ and express the solution in interval notation.

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Problem 31122

Find the slope-intercept form of the line through $(-1,2)$ with slope 5.

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Problem 31123

Solve the inequality $-2 x \leq 12$ and express the solution in interval notation.

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Problem 31124

Simplify the expression: $(x^{3}-4 x^{2}-5 x)-(2 x^{3}+7 x^{2}+2 x)$ .

See Solution

Problem 31125

Find the equation in point-slope form for a line through $(-3,-2)$ with a slope of 5.

See Solution

Problem 31126

Find the equation in point-slope form for the line through $(-10,4)$ with a slope of $\frac{1}{2}$ .

See Solution

Problem 31127

Find the equation in point-slope form for a line through $(4,4)$ with slope $-\frac{5}{2}$ .

See Solution

Problem 31128

Graph the function $f(x)=|x+4|-4$ and identify its domain and range.

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Problem 31129

Simplify the expression $\frac{a^{57}}{b^{34}} \cdot a b^{33} \cdot a^{33} \cdot \frac{a^{27}}{b^{24}}$ .

See Solution

Problem 31130

Simplify $\frac{t^{400}}{t^{100}}$ . What is the result? Options: $t^{500}$ , $300$ , $t^{300}$ , $t^{4}$ .

See Solution

Problem 31131

Simplify the expression: $(3 x^{2}-7-x^{3})-(5-8 x^{3}+3 x^{2})$ .

See Solution

Problem 31132

A potato is shot up with a speed of $34 \mathrm{ft/s}$ from a 15 ft tall building. Find how long it's in the air using $s(t)=-16 t^{2}+34 t+15$ .

See Solution

Problem 31133

A ball is thrown down at $38 \mathrm{ft/s}$ from a 63 ft building. Find the time it is in the air using $s(t)=-16 t^{2}-38 t+63$ .

See Solution

Problem 31134

Determine the slope and $y$ -intercept of the line given by the equation $6x - 2y = 3$ .

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Problem 31135

Simplify the expression: $(5p + p^3 + 3p^4) + (3p^4 - 2p^2 + 4p)$ .

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Problem 31136

Downstream sales of inventory
When parents co, sells inventory to subsidiary co its referred to downstream sales, and when subsidiary co sells inventory to parentseb it is called upstream sales. P Company acquired 100 percent ownership of S Corporation in 2017, at book value. S Co purchased inventory from $P$ for $\$ 90,000$ on August 20, 2018, and resold 70 percent of the inventory to unaffiliated companies on December 1, 2018, for $\$ 100,000$ . P produced the inventory sold to $S$ for $\$ 67,000$ . The companies had no other transactions during 2008 Record the elimination entries , and consolidation income statement?

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Problem 31137

Make $k$ the subject of this formula: $m=g k+u$

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Problem 31138

What is the $x$ -intercept of the line $6 x-3 y=24$ ? $x$ -intercept $=$ $\square$

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Problem 31139

Exercice ( 5 pts ) On considère la suite $U$ définie par $\left\{\begin{array}{c}U_{0}=\frac{2}{3} \\ U_{n+1}=\frac{3 U_{n}+2}{2 U_{n}+3} ; \forall n \in I N\end{array}\right.$
1. Calculer $\boldsymbol{U}_{\mathbf{1}} ; \boldsymbol{U}_{\mathbf{2}}$
2. Monter que $\forall n \in I N$ on a : $0 \leq U_{n} \leq 1$
3. On pose $V_{n}=\frac{U_{n}-1^{N}}{U_{n}+1}$ a. Monter que la suite $\left(V_{n}\right)$ est une suite géométrique b. Calculer $\boldsymbol{V}_{\boldsymbol{n}}$ puis $\boldsymbol{U}_{\boldsymbol{n}}$ en fonction de $n$ c. Calculer $S_{n}=\sum_{k=0}^{n} V_{n}$ d. Calculer $\lim V_{n} ; \lim U_{n}$ et $\lim S_{n}$

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Problem 31140

Soit $\left\{U_{n}\right\}$ et $\left(V_{n}\right)$ deux suites définies par: $U_{n}=\frac{2^{n}+4 n+3}{2}$ et $V_{n}=\frac{2^{n}-4 n+3}{2}$ On pose $T_{1}=U_{n}+V_{n}$ et $T_{2}=U_{n}-V_{n}$ 1) Montrer que $T_{1}$ est géométrique et que $T_{2}$ est arithmétique ? 2) En déduire $S_{1}$ et $S_{2}$ en fonction de $n$ tels que: $S_{1}=\sum_{K=0}^{n} \boldsymbol{U}_{K}$ et $S_{2}=\sum_{K=0}^{n} V_{K}$

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Problem 31141

Find the $y$ -intercept and slope of the line given by $4 x + 2 y = -2$ . Provide answers in simplest form.

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Problem 31142

Solve the inequality $-2(4 z+5)>-2 z-22$ and express the solution in interval notation.

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Problem 31143

Determine the slope and $y$ -intercept of the line given by $2x + y = -1$ . Provide your answers in simplest form.

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Problem 31144

Find the $y$ -intercept and slope of the line given by $5x - 4y = 16$ . Provide answers in simplest form.

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Problem 31145

Determine the $y$ -intercept and slope of the line given by $-2 x + 3 y = 5$ . Provide answers in simplest form.

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Problem 31146

Simplify the expression: $(6n - 2n^4 + 7n^2) - (2n - 8n^4 - 8n^2)$ .

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Problem 31147

Simplify the expression: $(1 - 5a - 8a^2) - (8a + 2a^3 - a^2)$ .

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Problem 31148

Solve the inequality $-2(4 z+5)>-2 z-22$ and graph the solution.

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Problem 31149

Graph the equation $y=-2|x-1|+6$ and find the $x$ - and $y$ -intercepts. Choose the correct graph.

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Problem 31150

Find the slope and $y$ -intercept of the line given by $-3x - 5y = -20$ . Then, graph the line.

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Problem 31151

Determine the determinant $D=\left|\begin{array}{ccc}0 & 5 & 2 \\ 4 & -3 & 0 \\ 2 & 4 & 2\end{array}\right|$
Let $\vec{u}=(3,-1,2)$ and $\vec{v}=(4,1,1)$ . Normalize the vector $\vec{u}$ . Determine the cosines of the angles between $\vec{u}$ and

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Problem 31152

$\qquad$ 一、(本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the I and U labeled in the circuit.
Fig. a
Fig. b

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Problem 31153

得分二、 (本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the Vo labeled in the circuit.

See Solution

Problem 31154

得分
4. (15) Determine IBQ, ICQ and Vo CEQ. 6kQ 2ΚΩ www www Q16V 1kQ B=200 VCEQ IBQ 2ΚΩ

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Problem 31155

be Л. (此 10 分) $R_{1}=2 \mathrm{k} \Omega, \mathrm{R}_{2}=3 \mathrm{k} \Omega, \mathrm{R}_{3}=4 \mathrm{k} \Omega, \mathrm{R}_{4}=12 \mathrm{k} \Omega$ . Determine the reldionship of $\mathrm{V}_{0}$ and $\mathrm{V}_{1}, \mathrm{~V}_{2}, \mathrm{~V}_{3}$ .

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Problem 31156

目分六、(本题 20 分) $R_{D}=3 \mathrm{k} \Omega, R_{G}=10 \mathrm{M} \Omega, V_{G G}=2 \mathrm{~V}, V_{D D}=15 \mathrm{~V}, I_{D S S}=8 \mathrm{~mA}, V_{P}=4 \mathrm{~V}$ . (1) Calculate DC bias $V_{G S}, I_{D}$ , and $V_{D S}$ . (2) Draw the equivalent circuit for $A C$ analysis, and determine $\mathrm{g}_{\mathrm{m}}, \mathrm{Z}_{\mathrm{i}}, \mathrm{Z}_{0}$ and $\mathrm{A}_{\mathrm{v}}$ .

See Solution

Problem 31157

تمسرين010: ( ش. ت. م 2011 ) (1 $A=2 x^{2}-7 x+3+(2 x-1)(3 x+2): A$ A $A$ $(2 x-1)(4 x-1)=0$ : ( 3

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Problem 31158

Personal Finance Problem LG2 P5-6 Time value As part of your financial planning, you wish to purchase a nem actly 5 years from today. The car you wish to purchase costs $\$ 14,000$ today, 2 , your research indicates that its price will increase by $2 \%$ to $4 \%$ per year overth next 5 years. a. Estimate the price of the car at the end of 5 years if inflation is (1) $2 \%$ perped and (2) $4 \%$ per year. b. How much more expensive will the car be if the rate of inflation is $4 \%$ rathe than $2 \%$ ? c. Estimate the price of the car if inflation is $2 \%$ for the next 2 years and $4 \%$ s. 3 years after that.

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Problem 31159

Q1: A) Prove that $\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}$

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Problem 31160

$\begin{array}{r}A+B+C=0 \\ 5 A+4 B+C+D=0 \\ 10 A+6 B+D=2 \\ 6 A=1\end{array}$

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Problem 31161

3) ما عدد مولات الأكسين في مول واحد من CaCO $_{3}^{\text {؛ }}$

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Problem 31162

$\begin{array}{l}A+B=0 \\ B+C=-3 \\ A+C=0\end{array}$

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Problem 31163

Deduce the solutions of the following equations: i. $x^{4}-5 x^{2}-6=0$ ii. $x-5 \sqrt{x}-6=0$

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Algebra

Problem 31101

Simplify the expression by combining like terms: −2x−2y2−3−4y2−5x+1-2 x - 2 y^{2} - 3 - 4 y^{2} - 5 x + 1−2x−2y2−3−4y2−5x+1

Problem 31102

Simplify the expression: (4x2+7x−4x4)−(6x4−5x+1)(4 x^{2}+7 x-4 x^{4})-(6 x^{4}-5 x+1)(4x2+7x−4x4)−(6x4−5x+1).

Problem 31103

A ball is thrown down at 50ft/s50 \mathrm{ft/s}50ft/s from a 56 ft building. Find the time it stays in the air using s(t)=−16t2−50t+56s(t)=-16 t^{2}-50 t+56s(t)=−16t2−50t+56.

Problem 31104

Simplify the expression: 3(x2+2x+5)+2(x2+3x+2)3(x^{2}+2x+5)+2(x^{2}+3x+2)3(x2+2x+5)+2(x2+3x+2).

Problem 31105

Graph the function f(x)=19x2f(x)=\frac{1}{9} x^{2}f(x)=91​x2 and find its domain and range.

Problem 31106

Combine the polynomials: (4v4+v+4v3)+(8v4+7v+3v3)(4v^4 + v + 4v^3) + (8v^4 + 7v + 3v^3)(4v4+v+4v3)+(8v4+7v+3v3).

Problem 31107

Find the equation of the line that goes through the point (10,3)(10,3)(10,3) with a slope of −32-\frac{3}{2}−23​.

Problem 31108

Simplify the expression: (3b4+2b3+6b)+(8b2−7b4−3b)(3 b^{4}+2 b^{3}+6 b)+(8 b^{2}-7 b^{4}-3 b)(3b4+2b3+6b)+(8b2−7b4−3b).

Problem 31109

Graph the function f(x)=19x2f(x)=\frac{1}{9} x^{2}f(x)=91​x2 and find its domain and range. Choose from A, B, C, or D.

Problem 31110

16x4−25x=021−1801116 x^{4}-25 x=021-1801116x4−25x=021−18011

Problem 31111

ب) جد المعادلة الديكارتبة للمعادللتين البار امتريتين : 0≤t≤2،x=4−t20 \leq t \leq 2 ، x=\sqrt{4-t^{2}}0≤t≤2،x=4−t2​ ،

Problem 31112

9. Find the equation of a line perpendicular to the line x−2y−3=0x-2 y-3=0x−2y−3=0 and passing through the point (1,−2)(1,-2)(1,−2)

Problem 31113

Simplify. x2x7\frac{x^{2}}{x^{7}}x7x2​

Problem 31114

Simplify. 5bc35cd\begin{array}{l} 5 b c \\ 35 c d \end{array}5bc35cd​

Problem 31115

Simplify. 8u248u5\frac{8 u^{2}}{48 u^{5}}48u58u2​

Problem 31116

Rewrite without parentheses and simplify. (x−4)2(x-4)^{2}(x−4)2

Problem 31117

\begin{align*} f(-6) &= 1, \\ f(-5) &= 3, \\ f(-2) &= 0, \\ f(-1) &= -1, \\ f(0) &= 0, \\ f(4) &= 4, \\ f(6) &= 2, \\ f(8) &= 2. \end{align*} Determine if the function f(x) f(x) f(x) is even, odd, or neither based on the given values.

Problem 31118

Find the slope-intercept form of a line that passes through (5,−3)(5,-3)(5,−3) with a slope of -4.

Problem 31119

Simplify the expression: (2v4+3v−3v2)+(v4−5v2+5v)(2 v^{4}+3 v-3 v^{2})+(v^{4}-5 v^{2}+5 v)(2v4+3v−3v2)+(v4−5v2+5v).

Problem 31120

Simplify the expression: 10+14+14\frac{1}{\sqrt{0+14}+\sqrt{14}}0+14​+14​1​

Problem 31121

Solve the inequality x+5≤3x + 5 \leq 3x+5≤3 and express the solution in interval notation.

Problem 31122

Find the slope-intercept form of the line through (−1,2)(-1,2)(−1,2) with slope 5.

Problem 31123

Solve the inequality −2x≤12-2 x \leq 12−2x≤12 and express the solution in interval notation.

Problem 31124

Simplify the expression: (x3−4x2−5x)−(2x3+7x2+2x)(x^{3}-4 x^{2}-5 x)-(2 x^{3}+7 x^{2}+2 x)(x3−4x2−5x)−(2x3+7x2+2x).

Problem 31125

Find the equation in point-slope form for a line through (−3,−2)(-3,-2)(−3,−2) with a slope of 5.

Problem 31126

Find the equation in point-slope form for the line through (−10,4)(-10,4)(−10,4) with a slope of 12\frac{1}{2}21​.

Problem 31127

Find the equation in point-slope form for a line through (4,4)(4,4)(4,4) with slope −52-\frac{5}{2}−25​.

Problem 31128

Graph the function f(x)=∣x+4∣−4f(x)=|x+4|-4f(x)=∣x+4∣−4 and identify its domain and range.

Problem 31129

Simplify the expression a57b34⋅ab33⋅a33⋅a27b24\frac{a^{57}}{b^{34}} \cdot a b^{33} \cdot a^{33} \cdot \frac{a^{27}}{b^{24}}b34a57​⋅ab33⋅a33⋅b24a27​.

Problem 31130

Simplify t400t100\frac{t^{400}}{t^{100}}t100t400​. What is the result? Options: t500t^{500}t500, 300300300, t300t^{300}t300, t4t^{4}t4.

Problem 31131

Simplify the expression: (3x2−7−x3)−(5−8x3+3x2)(3 x^{2}-7-x^{3})-(5-8 x^{3}+3 x^{2})(3x2−7−x3)−(5−8x3+3x2).

Problem 31132

A potato is shot up with a speed of 34ft/s34 \mathrm{ft/s}34ft/s from a 15 ft tall building. Find how long it's in the air using s(t)=−16t2+34t+15s(t)=-16 t^{2}+34 t+15s(t)=−16t2+34t+15.

Problem 31133

A ball is thrown down at 38ft/s38 \mathrm{ft/s}38ft/s from a 63 ft building. Find the time it is in the air using s(t)=−16t2−38t+63s(t)=-16 t^{2}-38 t+63s(t)=−16t2−38t+63.

Problem 31134

Determine the slope and yyy-intercept of the line given by the equation 6x−2y=36x - 2y = 36x−2y=3.

Problem 31135

Simplify the expression: (5p+p3+3p4)+(3p4−2p2+4p)(5p + p^3 + 3p^4) + (3p^4 - 2p^2 + 4p)(5p+p3+3p4)+(3p4−2p2+4p).

Problem 31136

Problem 31137

Make kkk the subject of this formula: m=gk+um=g k+um=gk+u

Problem 31138

What is the xxx-intercept of the line 6x−3y=246 x-3 y=246x−3y=24 ? xxx-intercept === □\square□

Problem 31139

Problem 31140

Problem 31141

Find the yyy-intercept and slope of the line given by 4x+2y=−24 x + 2 y = -24x+2y=−2. Provide answers in simplest form.

Simplify the expression by combining like terms: $-2 x - 2 y^{2} - 3 - 4 y^{2} - 5 x + 1$

Simplify the expression: $(4 x^{2}+7 x-4 x^{4})-(6 x^{4}-5 x+1)$ .

A ball is thrown down at $50 \mathrm{ft/s}$ from a 56 ft building. Find the time it stays in the air using $s(t)=-16 t^{2}-50 t+56$ .

Simplify the expression: $3(x^{2}+2x+5)+2(x^{2}+3x+2)$ .

Graph the function $f(x)=\frac{1}{9} x^{2}$ and find its domain and range.

Combine the polynomials: $(4v^4 + v + 4v^3) + (8v^4 + 7v + 3v^3)$ .

Find the equation of the line that goes through the point $(10,3)$ with a slope of $-\frac{3}{2}$ .

Simplify the expression: $(3 b^{4}+2 b^{3}+6 b)+(8 b^{2}-7 b^{4}-3 b)$ .

Graph the function $f(x)=\frac{1}{9} x^{2}$ and find its domain and range. Choose from A, B, C, or D.

$16 x^{4}-25 x=021-18011$

ب) جد المعادلة الديكارتبة للمعادللتين البار امتريتين : $0 \leq t \leq 2 ، x=\sqrt{4-t^{2}}$ ،

9. Find the equation of a line perpendicular to the line $x-2 y-3=0$ and passing through the point $(1,-2)$

Simplify. $\frac{x^{2}}{x^{7}}$

Simplify. $\begin{array}{l} 5 b c \\ 35 c d \end{array}$

Simplify. $\frac{8 u^{2}}{48 u^{5}}$

Rewrite without parentheses and simplify. $(x-4)^{2}$

\begin{align} f(-6) &= 1, \\ f(-5) &= 3, \\ f(-2) &= 0, \\ f(-1) &= -1, \\ f(0) &= 0, \\ f(4) &= 4, \\ f(6) &= 2, \\ f(8) &= 2. \end{align} Determine if the function $f(x)$ is even, odd, or neither based on the given values.

Find the slope-intercept form of a line that passes through $(5,-3)$ with a slope of -4.

Simplify the expression: $(2 v^{4}+3 v-3 v^{2})+(v^{4}-5 v^{2}+5 v)$ .

Simplify the expression: $\frac{1}{\sqrt{0+14}+\sqrt{14}}$

Solve the inequality $x + 5 \leq 3$ and express the solution in interval notation.

Find the slope-intercept form of the line through $(-1,2)$ with slope 5.

Solve the inequality $-2 x \leq 12$ and express the solution in interval notation.

Simplify the expression: $(x^{3}-4 x^{2}-5 x)-(2 x^{3}+7 x^{2}+2 x)$ .

Find the equation in point-slope form for a line through $(-3,-2)$ with a slope of 5.

Find the equation in point-slope form for the line through $(-10,4)$ with a slope of $\frac{1}{2}$ .

Find the equation in point-slope form for a line through $(4,4)$ with slope $-\frac{5}{2}$ .

Graph the function $f(x)=|x+4|-4$ and identify its domain and range.

Simplify the expression $\frac{a^{57}}{b^{34}} \cdot a b^{33} \cdot a^{33} \cdot \frac{a^{27}}{b^{24}}$ .

Simplify $\frac{t^{400}}{t^{100}}$ . What is the result? Options: $t^{500}$ , $300$ , $t^{300}$ , $t^{4}$ .

Simplify the expression: $(3 x^{2}-7-x^{3})-(5-8 x^{3}+3 x^{2})$ .

A potato is shot up with a speed of $34 \mathrm{ft/s}$ from a 15 ft tall building. Find how long it's in the air using $s(t)=-16 t^{2}+34 t+15$ .

A ball is thrown down at $38 \mathrm{ft/s}$ from a 63 ft building. Find the time it is in the air using $s(t)=-16 t^{2}-38 t+63$ .

Determine the slope and $y$ -intercept of the line given by the equation $6x - 2y = 3$ .

Simplify the expression: $(5p + p^3 + 3p^4) + (3p^4 - 2p^2 + 4p)$ .

Make $k$ the subject of this formula: $m=g k+u$

What is the $x$ -intercept of the line $6 x-3 y=24$ ? $x$ -intercept $=$ $\square$

Find the $y$ -intercept and slope of the line given by $4 x + 2 y = -2$ . Provide answers in simplest form.

Solve the inequality $-2(4 z+5)>-2 z-22$ and express the solution in interval notation.

Determine the slope and $y$ -intercept of the line given by $2x + y = -1$ . Provide your answers in simplest form.

Find the $y$ -intercept and slope of the line given by $5x - 4y = 16$ . Provide answers in simplest form.

Determine the $y$ -intercept and slope of the line given by $-2 x + 3 y = 5$ . Provide answers in simplest form.

Simplify the expression: $(6n - 2n^4 + 7n^2) - (2n - 8n^4 - 8n^2)$ .

Simplify the expression: $(1 - 5a - 8a^2) - (8a + 2a^3 - a^2)$ .

Solve the inequality $-2(4 z+5)>-2 z-22$ and graph the solution.

Graph the equation $y=-2|x-1|+6$ and find the $x$ - and $y$ -intercepts. Choose the correct graph.

Find the slope and $y$ -intercept of the line given by $-3x - 5y = -20$ . Then, graph the line.

$\qquad$ 一、(本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the I and U labeled in the circuit.
Fig. a
Fig. b

得分二、 (本题 10 分) Determine the status of diode is "on" or "off". Use the approximation equivalence ( 0.7 V if "on", and open if "off" for Si diode) to calculate the Vo labeled in the circuit.

得分
4. (15) Determine IBQ, ICQ and Vo CEQ. 6kQ 2ΚΩ www www Q16V 1kQ B=200 VCEQ IBQ 2ΚΩ

تمسرين010: ( ش. ت. م 2011 ) (1 $A=2 x^{2}-7 x+3+(2 x-1)(3 x+2): A$ A $A$ $(2 x-1)(4 x-1)=0$ : ( 3

Q1: A) Prove that $\left[\frac{5}{3-w}-\frac{5}{3-w^{2}}\right]^{2}=-\frac{75}{169}$

$\begin{array}{r}A+B+C=0 \\ 5 A+4 B+C+D=0 \\ 10 A+6 B+D=2 \\ 6 A=1\end{array}$

3) ما عدد مولات الأكسين في مول واحد من CaCO $_{3}^{\text {؛ }}$

$\begin{array}{l}A+B=0 \\ B+C=-3 \\ A+C=0\end{array}$

Deduce the solutions of the following equations: i. $x^{4}-5 x^{2}-6=0$ ii. $x-5 \sqrt{x}-6=0$