24√3(cos + i sin 23п 12 23) and 12 2. Given the complex number z1 = 22 22 = 4(cos+ i sin ), express the result of in rectangular form with fully simplified fractions and radicals.

Q: Suppose the position of an object moving in a straight line is given by s(t)=t² + 5t+3. Find the…

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Q: Find the given derivative. Dx 3x 6 N|W X

A: let  f(x)=3x-12+6x32dxndx=nxn-1

Q: Consider the function f(x) = x³ – 12x on the interval [-7, 5]. Find the absolute extrema for the…

A: Consider the function fx=x3-12x on the interval -7, 5.To find the absolute extrema for the function…

Q: Suppose f is a one-to-one, differentiable function and its inverse function f-¹ is also…

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Q: Let f(x) = -8x + 3x2. Then the expression can be written in the form Ah + Bx + C, where A, B, and C…

A: The given function fx=-8x+3x2. We have to find the expression fx+h-fxh and the values of f'1, f'2,…

Q: Find the derivative of the function using the definition of derivative. g(x) = √5 + 4x g'(x) = State…

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Q: Which angles are coterminal with an angle measure of ², ? 2π 3 Select all correct answers. 4π 3 10п…

A: given angle is θ=2π3

Q: Find each indicated quantity if it exists. Let f(x)= O A. lim f(x)= (Type an integer.) x→0* B. The…

A: We have to find out the limits.

Q: -3 8.5 -0 TH -$ 4 € 7 1 19- 1 M P La

A: From graph, In left side , graph is increasing.    Maximum value of f is is infinity.

Q: The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the…

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Q: Given that Calculate f'(-1) = f(x) = x¹²h(x) h(-1) = 5 h'(-1) = 8

A: given  f(x)=x12h(x) h(-1)=5 and h'(-1)=8 differentiate f(x) with respect to x by chain rule  we get…

Q: Let fx) and consider the limits lim_x) and lim x). (a) Use a table of values to evaluate f(x) - X…

A: Given function is f(x)=7x3-1

Q: Find lim h→0 lim h→0 f(3+h)-f(3) h f(3+h)-f(3) h || - if f(x)=x² +2. (Simplify your answer.)

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A: we supposed to do only first part of multiple  I=∫xcos(5x)dxu=xdv=cos(5x)dxwe know that…

Q: The population of a city can be modeled by P(t) = 10e0.04t thousand persons, where t is the number…

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Q: QUESTION 2 Write an inequality of the form |x-a k so that the inequality has the given solution…

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Q: Find lim lim h→0 h→0 f(5+h)-f(5) h f(5+h)-f(5) h II if f(x)=-3x - 8. (Simplify your answer.)

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Q: Consider the following equation. f(x, y) = y³/x, P(1, 3), (a) Find the gradient of f. Vf(x, y) = =…

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Q: 7. For which values of x, y, z is the following matrix invertible? Explain. [1 1 X 23 y 2 Z A = .

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Q: Find the second derivative for the functions; y = lnx + cosx  &  y = 4x5 + 3ex.

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Q: Consider the following differential equation, To solve this differential equation, we must first use…

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Q: 1. Estimate the slope of the tangent line to the curve below when z = -1, when z = 0, and when z =…

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Q: dv g) tan(x- y) = y 1+x² d 1/₂ (tan ex-x) = $x (1+x) dx dx Sec² (x-y). (1-dy) = dx Sec ³ (x-y) - dy…

A: Given query is to find the derivative.

Q: 7. For the following questions, use the graph of y = f(x) below. -4 -3 -2 1 4 -2 ON 4

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Q: 6. Compute AB, BC, AC, and ACAB. 0 21 3 B 1 2 4 1 2 1 A - -- = = " 2 54 1 3

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Q: Let g(t)=(0.1)^t Estimate g′(2.5) to within one decimal place by using a small enough interval.…

A: Given, g(t)=0.1t

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

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Q: Use the given graph of f(x) to sketch the graph of f'. y y y

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Q: Use the given graph of the function to find the x-values for which f is not differentiable. y 1,0…

A: Graph of the function is given, we have to find the x values for the function is not differentiable.

Q: 10. Identify the location of the relative maxima and relative minima of the function. M -5-4-3-2-1 1…

A: Question -   10. Identify the location of the relative maxima and relative minima of the function.

Q: Using the definition of the derivative, find f(x). Then find f'(-2), f'(0), and f'(6) when the…

A: Here we have to find the derivative of function.

Q: Evaluate the limit using the appropriate properties of limits. (If the limit is infinite, enter '∞'…

A: Given query is to find indicated limit.

Q: The graph of f is given. State the numbers at which f is not differentiable. X = | (smaller value)…

A: Topic = Function

Q: (a) lim f(x) x-0- (b) lim f(x) 21- x-1- (c) lim f(x) x-2- Ι

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: -3x+7 for x < -1 Let g(x)=x² +3 for-1<x<4 5 for x ≥ 4 Evaluate: i. g(3) ii. g(-2) iii. g(-1) iv.…

A: Topic = Function

Q: 2 If sin 0= and and 0° <0<90°, find cos 0. 3 - 3√/13 13 2√/13 13 1/2 15 -0.54 0.18 0 -4 3 7√//53 53…

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Q: Evaluate the integral. T co cos(x) sinh(x) dx

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Q: help

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Q: Graph the given piecewise function f(x) if x ≤ 0 if 0 2 f(x): = 7 1 x-1 (x - 2)² +1 40 -5 A -3 2 -n…

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Q: Use the Power Rule to compute the de d 4 x dx |x=-1 ID

A: We will find the  required derivative.

Q: x - 5x - 14 Let f(x)= X-7 a) Select the correct choice below and, if necessary, fill in the answer…

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Q: 4. Determine the value of a so that the following function is continuous at x = 2. -2 h(x) = x²-x-…

A: A function is said to be continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a)…

Q: 2) Find the derivatives of a) y = 7 - 6x-x² b) y - ³x 8 √x

A: Given :(a)y=7-6x-x2(b)y=-8x

Q: 1. lim g(x) = = x→2- 2. lim g(x): = x→2+ 3. lim g(x) = = x→2 4. lim g(x) = x→0 help (limits)

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Q: 11. Try again You have answered 1 out of 2 parts correctly. Let h(x) = f(x) · g(x), and k(x) =…

A: Given :- Let hx=fx·gx and kx=fx/gx

Q: Estimate f′(4) for f(x)=4^x Be sure your answer is accurate to within 0.1 of the actual value.…

A: Given query is to find indicated derivative.

Q: QUESTION 13 Use the horizontal line test to determine whether the function is one-to-one. -10 00 No…

A: In a horizontal line test we draw lines parallel to x axis on the XY plane on which the graph of the…

Q: it did not accept that as an answer in this reading and participation question

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Q: 51. The cost, in dollars, of producing a yards of a certain fabric is Answer + C'(x) = 120.2x…

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Q: - 2x + 1 is a tangent line to the graph of y = 4. Given that y = tangent line to y f(x) at x = 1,…

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