Given P(x)=3x5−8x4+74x3−190x2−25x+250, and that 5i is a zero, write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=.
P(x)=(x+5i)(x−5i)(□)(□)
syntax error.
Think about the following relation: {(3,0),(5,8),(3,6),(−3,8)
What is the domain of the relation? \{
□ \}
What is the range of the relation? \{
□ \}
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Which of the following is equivalent to sin2θcos(2θ) for all values of θ for which sin2θcos(2θ) is defined? Select the correct answer below:
secθ−2sinθtanθ2cot2θ−csc2θcot2θ−2cos2θ2sinθsinθcosθ−tanθ
Show Examples Let f be the function given by f(x)=−3x31. What is the approximation for f(−7.9) found by using the line tangent to the graph of f at x=−8 ? Answer Altempt 1 out of 2 Tangent Line: y=□
Approximation: f(−7.9)≈□
When □ , the second derivative □ , meaning the graph of f is
□ near the point of tangency, making the value ??? an
3 圆 Der Punkt P liegt auf dem Graphen der Funktion f mit f(x)=2x−3. Bestimmen Sie die fehlende Koordinate.
a) P(1∣y)
b) P(−2∣y)
c) P(x∣16)
d) P(x∣∣−321)
araz-
い 5 虽 Die Punkte P(p∣−1,5) und Q(0,5∣48) liegen auf dem Graphen der Funktion f mit f(x)=a⋅x−3. Bestimmen Sie a und p.
1. Soit of une fonction define sur R par
f(x)={ln(2−ex)−x−1 si x<0 si x⩾0
a) Etudier la continuité de f sur ir
b) Etudier la derivabilite de fsur n
c). Etudier la continuité de f′ sur R
1. Studiare la monotonia e determinare estremo inferiore e superiore della successione
an=n2+arctan(n)cos(nπ)+n per n∈N\{0}
specificando se sono minimo e massimo.
Graph the circle x2+y2−11=−2x+4y
Plot the center. Then plot a point on the circle. If you make a mistake, you can erase your circle by moving the second point onto the first.
这 C(15,3) and D(6,15) are the endpoints of a line segment. What is the midpoint M of that line segment?
( 3. 7 , Write the coordinates as decimals or integers.
M=(□,□)
Sulinit
^ Pretest: Unit 1 Question 1 of 29
What is the solution to the system of equations below?
2x+y−3z=−73x−y+4z=−17x+2y+2z=9
A. x=4,y=1,z=5
B. x=4,y=4,z=3
C. x=−5,y=6,z=1
D. x=−5,y=4,z=3
DETAILS
MY NOTES Find the local maximum and minimu important aspects of the function. (
f(x,y)=x2+xy+y2+4y
local maximum value(s)
local minimum value(s)
saddle point(s)
(x,y,f)=
Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x)=(x−2)2−13x. What are the intercepts, if any? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The x-intercept(s) is(are) x=0. The y-intercept is y=0.
(Use a comma to separate answers as needed.)
B. There are no x-intercepts. The y-intercept is y=□
C. The x-intercept(s) is(are) x=□ There is no y-intercept.
(Use a comma to separate answers as needed.)
D. There are no x-intercepts. There is no y-intercept. What are the vertical asymptotes, if any? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x=□ (Simplify your answer. Use a comma to separate answers as needed.)
B. There are no vertical asymptotes.
24. The second derivative of a function f is given by f′′(x)=sin(3x)−cos(x2). How many points inflection does the graph of f have on the interval 0<x<3 ?
(A) One
(B) Three
(C) Four
(D) Five
```latex
Sketch a graph of the polynomial function f(x)=x3+4x2+3x. Use to complete the following: f is on the intervals (−∞,−3) and (−1,0).
f is on the intervals (−∞,−2) and (−0.5,∞).
f is on the intervals (−3,−1) and (0,∞).
f is on the interval (−2,−0.5).
```
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Try Another Find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.)
∫cot(t)8(csc(t))2dt□
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Given that y1=x,y2=x3 are linearly independent solutions for the differential equation y′′−x3y′+x23y=0. Using Variation of parameter for y′′−x3y′+x23y=2x2ex, we get yp=2x2ex−2xex
the above option
2x2ex+2xex4x2ex−4xex
the above option
None of the mentioned
Solve the inequality. Write the solution set in interval notation.
−5≤22m+8≤14 The solution set in interval notathen is □
(Type your answer in interval notation.)
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Period
Date
Module 5 Test (ALG 1) - MODIFIED
DIRECTIONS: Read and answer the following questions. Make sure to show your work and write legibly. 1. Which equation written in point-slope form represents a line passing through the point (4,−8) with a slope of −41?y−y1=m(x−x1)
A. y+8=−41(x+4) 18. y+8=−41(x−4)
C. y=8=−41(x+4)
D. y−8=−41(x−4) 2. Which equation models the line on the graph?
y−y1=m(x−x1)
A. y−2=−2(x−3)
B. y−2=−21(x−3)
C. y+2=−21(x+3)
D. y+2=−2(x+3) 4. Write an equation in slope-intercept form with a slope of 3 and passes through the point (−2,−1).
Step 1: y−=(x−x1)
Step 2: Distribute
Step 3: Isolate y
A. y=3x+7
B. y=3x+6
C. y=3x+5
D. y=3x−1 8. Which equation is parallel to the line
y=−4x−8?
A. y=41x−8
B. y=4x−8
C. y=−4x+5
D. y=−41x+3 6. Write the following equation in slope-intercept form.
y−4=6(x−2) 9. Find the equation of a line that is perpendicular to the line represented y=−31x+4.
A. y=31x+3
B. y=−31x−3
C. y=3x+13
D. y=−3x−524−25
NAME
DATE
PERIOD 7. For each polynomial (a) write the degree (b) leading coefficient (c) zeros (d) describe the end behavior and (e) sketch a possible graph. You can then check your sketch using graphing technology.
\begin{tabular}{|l|c|c|}
\hline \multicolumn{3}{|c|}{A(x)=−(x+4)(x+1)(x−3)(x−8)} \\
\hline Degree & Leading Coefficient & Zeros \\
\hline
\end{tabular} End Behavior
As x gets larger and larger negative, A(x) gets larger and larger . As x gets larger and larger positive, A(x) gets larger and larger
XLL Graph a line from an equ
|x| com-math/grade-8/graph-a-line-from-an-equation-in-standard-form Graph this line using intercepts:
7x+y=−7
Click to select points on the graph.
Sketch the graph of the exponential function.
f(x)=(0.6)x 0
O. Complete the table of coordinates.
\begin{tabular}{|c|c|c|c|}
\hline x & -1 & 0 & 1 \\
\hline y & □ & □ & □ \\
\hline
\end{tabular}
(Simplify your answers. Type integers or fractions.)