Solve for what is asking (show complete solution). Your final answer must be in POLAR FORM. 2. Find the 6" roots of 4 + j4.

Q: 3- x 3) dx → S2xe* dx

A: To evaluate the given integrals.

Q: I need some help with this question. Thank you :)

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: For each of the following series determine if the series converges c for series convergence or…

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Q: 2. Rewrite the following quadratic function in standard form, identify the vertex: f(x) = 2x + 12x -…

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Q: 2 ax- J] ydydx 0 0

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Q: Find the derivative of the function described. (Rx5) 3x-1 2. f (x) = 2x+4

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5+ 3n3…

A: As you have asked for the solution of questions a -c only. So I am solving those only. Thank you.…

Q: Find f (x) if f'(x) = and f(1) = 25. O f(x)= 16x + 25 O f(x) = 16x +1 O f(x) = 16xl +9 O f(x) = 16x…

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Q: For the sequence defined by: a1 = 2 2 + 1 An %3D An+1 Find: a2 %3D a3 = %3D %3D esc ->

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Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). f(x) = 5 sin (4x³) If…

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Q: Describe the graph of the equation. r = -9i+ tj + (r² – 1) k O It is a parabola in the x = –9 plane,…

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Q: (-1)" Clasificar la serie como absolutamente o condicionalmente convergente E1 Vn Diverge O Converge…

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Q: Given the price-supply function p = S(x) 10(e0.05z 1), find the average price (in dollars) over the…

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Q: 3. y" +4y = 0; yıi =cos 2x, y2 = sin 2x; y(0) = 3, y'(0) =8 4. y" + 25y = 0; yı = cos 5x, y2 = sin…

A: Note : "Since you have posted multiple questions, we will solve first question for you. To get…

Q: (a) Estimate the area under the graph of f(x) = 2 + 4x2 from x = -1 to x = 2 using three rectangles…

A: The given function is: f(x)=2+4x2; x=-1 to x=2

Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Consider the following. u=i+j+k v = 2i +ì-k Find u x v. Determine if uxv is orthogonal to both u and…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: A vector v with given magnitude in the direction of u is given by v.uu.

Q: 2. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: Let F = sin (2x + 4z) i – 8ye** k. Calculate div(F) and curl(F). (Express numbers in exact form. Use…

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Q: 10. xy' + 2y = 6x²/y

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Q: Find the point that is 2/5 of the distance from C to D.

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Q: nsider the Integral I when answering the following questions. g(x) dx

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Q: dx 7. J x3 Vx2-4

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Q: From what I know when I was teaching high school students, they tend to use the so called "Two…

A: Let's find.

Q: Consider the following function. f(t) = 4t + 5 Find its average rate of change over the interval [1,…

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: S) Vx + 7 dx

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Q: F(x)=-2x2 - 2x - 2 find the absolute maximum value over the interval (0,6)

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Q: (a) Ratio Test: (n+1)! n=0 n+2 (b) Ratio Test: 51-n (n+ 1) n=1 5n2 – 2n +1 3n2 +n – 3 (c) Root…

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Q: 1. Solve the following quadratic equation by completing the square: x2 – 6x +4 = 0

A: We are authorized to answer one question at a time , since you have not mentioned which question you…

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. CSc x…

A: Let's find.

Q: Consider the following. u = (6, -1, 0) v = (-2,3,0) Find u x v. Determine if u x v is orthogonal to…

A: Explanation of the answer is as follows

Q: a) Compute the area of the shaded region by "counting" the squares on the grid in the given region.…

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Q: Consider the function y= >x3 – 9x + 4. a. Sketch the graph of y= x3 – 9x + 4. b. Find and describe…

A: Let's find.

Q: H = 33(10VV - v + 10.45) where v is the wind speed (in meters per second). (a) Find dH dv dv dH in…

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Q: he curve. + sin(tt)j

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Q: Calculate div(F) and curl(F). F = (y, 8z, x) (Give an exact answer. Use symbolic notation and…

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Q: Find the volume of the solid bounded by the graphs of the given equations.   z = xy,    z = 0,…

A: Given problem:- Find the volume of the solid bounded by the graphs of the given equations.   z = xy,…

Q: Choose the rule that you would use to most efficiently find the derivative of the function. f(x) =…

A: Given f(x) = 8√x^3

Q: Solve the following and show the complete solution. Find D,f at P: f(x,y) = sin(8x – 5y); P(5,8)); u…

A: Given,            fx,y=sin8x-5y ; P5,8 ; u=35i-45jTo find : The directional derivative, Duf at P.

Q: Consider the following function. f(x) = -x2 - 10x – 9 Find its average rate of change over the…

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Q: Question 5 Find the volume of the solid that results when the shaded region is revolved about the…

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Q: Question For the function given below, which statements concerning Rolle's theorem are true? f(x) =…

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Q: Find r'(t), r'"(t), and r'(t) · r"(E). r(t) = (t2 + 7t)i – 2t?j (a) r'(t) (b) r"(t) (c) r'(t) ·…

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Q: The graph of a piecewise-linear function . for-15xS 4. is shown above. What is the value of (A) (B)…

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Q: Find the general solution of the DE below. Show the method on how you get the roots, not by…

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Q: 2. If f(x)=sqrt(x), which of the following is the simplified form of the difference quotient? *

A: Function f(x)=x

Q: Eliminate the constant 'a' from the equation (x – a)2 + y? = a² O (x? - 2y)dx + 2xydy = 0 O (x2 -…

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