Remember that rectangular form is z = a + bi and that polar form is z = r(cos 0 + i sin 0) Take following number in polar form and convert it to rectangular form: 6.08(cos 74 + i sin 74) (Round to the nearest hundredth. The angle above provided is in degrees)

Q: Let g be a function that is defined for all x, x# 2, such that g(3)% = 4 and the derivative of g is…

A: Solved below

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A: We want to show the above equation is true.

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A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) x4 – 81 (a) Determine the domain of f and g. (b) Compute gof and…

A: Find domain.  According to guidelines we solve only first question.

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A: S(t)=300etAverage weekly sales =13-0∫03300etdt                                 =13300(e3-e0)…

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A: scalar projection of w on v is =v.w|v||w|compvw¯=…

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A: Given query is to find the average velocity.

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A: To solve the following problem

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A: Given query is to find the solution of the differential equation.

Q: 12) (sin (4x - 9) dx

A: Given function : sin (4x -9) To find : Integral of the function.

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A: We will use geometric definition to determine the angle.

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A: This question can be solved by applying the equation of motion.

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A: sinh x1+cosh x

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Q: Evaluate the integral. S(-241 - s)at 3 xdx = 2 15 given, a'dr = x²dx = dx = 1, O -36 O -146 O -114 0…

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Q: Use the Comparison Test to determine if the series converges or diverges. Sn+ 6n n-1 diverges O…

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Q: 43. fry(x, y) if = e"* f(x. y) en?

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Q: 5x-20 50

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Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

A: Given query is to find the disjoint set.

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A: Given query is to find the sides of the box

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A: Solution: a = 5-3t v(2)=7 s(2) - s(1)=?

Q: Find y' in the function In (xy + x+ y) = 2 using implicit differentiation.

A: The given equation is: ln (xy+x+y)=2...(1)

Q: The dimensions of avectargubr region are varying with the bimeltsaccoding 1-2728 cmfsee and wa3t+6…

A: L= 2t2-8w= 3t+6Let A be the area of rectanglegiven : dAdt= 360 cm2/sec   A= L×wA=(…

Q: Solve the system by back substitution. - 2x - 4y -z -3w = - 5y - 30z - 10w = - 40 -4z -4w = -8 5w =…

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Q: z equals 1 If 1, then וא

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Q: In Problems 25-32, find the indicated value. 25. f.(1,3) if f(x, y) = 5x'y- 4xy2

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Q: Find the angle (in degrees) between the planes 4y + z = 4 and – 4x + 2z= - 3.

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Q: In the following exercises, suppose →1 as n→>∞. Find the radius of a, that convergence for each…

A: We have to find the radius of convergence.

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Q: „T7/8 6) (1 + etan 2x) sec² 2x dx 16) B) - D A) e C) 2e

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Q: Question Evaluate the following limit using L'Hospital's rule. 60 lim -12 17x2 - 133x + 588 7x - 84…

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