If z1=14+9i and z2=2+16i, determine the imaginary part the complex number: 21 Z2 Give your answer to 3 decimal places.

Q: FIND ALL LOCAL MAXIMA, LOCAL MINIMA, AND SADDLE POINTS FOR EACH OF THE FolloWING FUNCTIONS F(x,y) =…

A: We have given a function and we have to find the local minima, local maxima and saddle points.First…

Q: The curve graphed below has equation y Q7.1: y = 3 1+ 4x² (x,y) X Find the dimensions of the…

A: We have given the equation of the curve where . Also the rectangle has one corner at (0,0) and the…

Q: Find the integral. √ ³√x¹¹ dx 3 11 √ ³√x¹¹ dx= 11

A:

Q: 18. For f(x)=x*- 2x² +3: A. Find any critical numbers of f(x) and find intervals of…

A:

Q: a = 6, b=1, C= 20° C≈ (Round to two decimal places as needed.)

A: a=6b=1C=20°

Q: The initial swing (one way) of a pendulum makes an arc of 6 ft. Each swing (one way) thereafter…

A: The initial swing (one way) of a pendulum makes an arc of 6 ft. Each swing (one way) thereafter…

Q: Given the graph of f(t), let A₁ = 0.75, A2 = 5, and A3 = 2. Let F'(t) = f(t). A₁ -2 -1 A. Evaluate…

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Q: (x, y, z) = (2, 4, 2)

A: Convert the point (x,y,z)=(2,4,2) to spherical coordinates.Using spherical…

Q: What is dy of x = cos(v)? dx O sin(y) O-sec(y) O-csc(y) O tan(y)

A: Given,.

Q: Find the area of the following region. The region inside the inner loop of the limaçon r = 4-8 cos 0…

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Q: Rewrite the following polar equation in rectangular form. + X Correct 12r= 6csc0

A: Given,

Q: An airplane is heading east with an airspeed of 300 km/h. The plane encounters a wind from the west…

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Q: Find a number a in [0, 1] such that f(a) = fave over the interval [0, 1]: f(x) = 3x² 0 √3 3 1 √3 3

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Q: 1. Evaluate the definite integral /(1-2x) cos(kx) dx

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Q: 4) Let L1 be the line through the points (1, 2, 6) and (2, 4, 8). Let L2 be the line of intersection…

A: Line points  and and line  : intersection of the planes and calculate the distance between and .

Q: Find the integral. 15 6 X X 15 6 X dx dx =

A: To find the following integral.

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

A:

Q: Which interval describes the approximate interval where the function f(x)=5x¹-28x³-18x² +244x-500 is…

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Q: If all the derivatives of f are defined, and f(3) = 2, ƒ' (3) = −1, f" (3) = 6, ƒ"" (3) = 15 The…

A: Given,

Q: At what point on the curve x = 3t^2 + 6, y = t^3 − 7 does the tangent line have slope 1/2?

A: we need to find out the point where the slope is equal to 1/2.

Q: Find M₁, to three decimal places for the definite integral, using the indicated value of n. 1 (2x³ -…

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Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

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Q: 3. The graph of the twice-differentiable function fis shown in the figure below. Which of the…

A: As we know The function increasing when  and decreasing when The function concave up when  and…

Q: given f(x)=(8-6x)e^x  use interval notation to indicate where f(x) is concave up and use interval…

A:

Q: For a product, the supply curve is given by q(p) = 12p - 60 and the demand curve by q(p) = -3p+60,…

A: Given the supply curve  and the demand curve function  ,where p is in dollars and q is in millions

Q: Problem (g. f) (1) r|1|5|8| 12 f(x)|-2|8|2|12 x|5|2|1|3 g(x) |1|5|5|8 <TD

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Q: 2 6 [₁² ( 4x² + $/2 ) dx = x²

A: I=∫12(4x2+6x2)dxUsing the Power Rule∫xndx=xn+1n+1+C

Q: Let F(x, y) = (2xy³)i + (1+3x²y²)ĵ. (a) Show that is a conservative vector field on R². (b) Find a…

A:

Q: Which is most likely the graph of the polynomial function f(x)=-3x¹-30x³ +639x² +3834x-35640? Press…

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Q: Use a change of variables or the table to evaluate the following definite integral. P. √81+p² 2…

A: The given integral is .The objective is to find the value of the integral.

Q: Determine whether the following curve uses arc length as a parameter. If not, find a description…

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Q: Consider the parametric equations below. x = t2 − 2,    y = t + 3,    −3 ≤ t ≤ 3   Eliminate the…

A: Given,

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: We have given equations of two lines-We have to determine whether the lines intersect, and if so,…

Q: For the polynomial function f(x) = (3x² + 5)² (x² + 7), answer the following questions. (a) List…

A: Part (d):Given: To Find: To determine the end behavior; that is, to find the power function that the…

Q: Find the exact value of the expression. sin (35°) cos (55°) + cos (35°) sin (55°) sin (35°) cos…

A: To find the exact value of the following expression.

Q: roximate f by a Taylor polynomial with degree n at the numbe Talor’s Inequality to estimate the…

A:

Q: Given m(z) = log21 (2+6.2) - 1.9 The 3 starting points you would use would be: Round answers to 4…

A: Given :m(x) = Basic Function :y = log2.1 xThe 3 starting points you would use would be:…

Q: lim (√₁ +(2+)*) : 1

A:

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

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Q: Consider the following. dQ 0.94 dx (x - 24,999)0.06 = (a) Use the marginal propensity to consume,…

A:

Q: Evaluate the following limit. Use​ l'Hôpital's Rule when it is convenient and applicable.   limx→−3…

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Q: Graph the lines 2x + 4 = 0 and 2x + 5y = −15

A: To draw the graph of the lines .

Q: If 0 = = 3πT 4 cos(0) = sin(0) = then

A:

Q: Find the critical points of the following function. f(x)= 3 Xx 3 - 9x Select the correct choice…

A: The given function is; f(x)=/3 - 9x

Q: Find the derivative of the function. y = [x + (x + sin²(x))51³ y' =

A:

Q: 12. If a rocket is propelled upward from ground level, its height h in meters after t 2 seconds is…

A: h(t)=−9.8t2+49t

Q: Solve the initial value problem: y=-0.02y-4 y(0) = 40 y(t) =

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Q: elf" (x) Find the maximum value of f(x)=√1+x² [0,2] on the indicated interval.

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Q: We are given the polar equation r = cos(40). Its graph is a ---Select--- X It is symmetric with…

A: r= cos(4)

Q: FIND PARTIAL DERIVATIVES: + (x, y) = x² - y² + 4xY. FIND ER Fx' Fxx' Fy¹ Fyy' Fxy'

A: The Sum/Difference Rule:The Power Rule:The Constant Multiple Rule