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Q: Part a) Plot the point given in polar coordinates. (-3, 2pi/3) Part b) Find three additional polar…

A: answer is in next step

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A: Here we have to use the concept of the indefinite integration.

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A: Solution in done in step 2

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A: I am going to solve the problem by using some simple calculus to get the required result of the…

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A: Given; y=x, y=3x, y=-x+4   Now find the point of intersection between the line y=-x+4 &amp; y=3x.…

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Q: Use Green's Theorem to evaluate the line integral ſ (y + e√x) dx + (2x + cos y²) dy, where the given…

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Q: Solve the following differential equations of y" + 6y' + 5y = 10 sin (2x)

A: The given differential equation is  y''+6y'+5y=10sin(2x).

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Q: Jc = − xj; P(−2, −4), Q(-2,-2)

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Q: - y' + y = 2 sinx when y(0) = -1

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Question 7 Given the function f(x) = 8 +5x², calculate the following values: f(a)= f(a+h)- =…

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Q: fand sketch it, for f(x, y) = x²

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Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: Given problem:- Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to…

Q: 17. Let y = 4t² + 3, t = 6es and s = 1 + In x. Find in terms of x. dx 18. Given y = 5t (3 - t), t =…

A: Let's find.

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A: To find the domain of the following vector‐valued function.rt=25-t2 i+t2 j-4t k

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A: Given  Fx, y, z = e-x sin y i + e-y sin z j + e-z sin x k We have to find curl F and div F.

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Q: Homework 11 Parametric: Problem 5 Given ze and y = tet, find the following derivatives as functions…

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Q: (-3,0) (0, -1) (-1,-2) y = h'(x) (0, -2) (3,0) c

A: Given problem:- Suppose that h(x) is continuous everywhere, with the graph of h'(x) given on the…

Q: Do as indicated. 2. Use the Squeeze Theorem lim sin (sinh x)csch x. x-18 to evaluate

A: Given problem:-

Q: Find the exact length of the curve given by Length = x = 2t², y = (0 ≤ t ≤ 4).

A: A detailed solution is given below

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Q: The graph of f(a) shifted right 3 units and shifted down 5 units. Of(r). 3-5 Of(x)= -3+5…

A: Let's find.

Q: On Integral of Trigonometric Functions: Determine the integral of the ff. functions. 3. sec 2 (3x +…

A: To find the integration of Functions: As per Bartleby guidelines we are supposed to answer only…

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Q: 32-37 FOURIER INTEGRALS AND TRANSFORMS Sketch the given function and represent it as indicated. If…

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A: We need to show F is conservative vector field.

Q: Find all solutions of the equation in the interval [0, 2). sin x=√1- cos x Write your answer(s) in…

A: To solve the given trigonometric equation.

Q: Which of the following is the derivative of x³ + 4x + 1? x² + 4x 3x² + 4 x²+4 3x²+4+1 3x² O

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Q: of a rectangle.

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Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Find the area of the region enclosed between f(x) = x² + 4x + 12 and g(x) = Area = | 2x² + x + 2.

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A: Given problem:-

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A: Given: r1t=costi+sintj+8tkr2t=7i+tk

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Q: Solve for the solution of: (D2 - 4)y = 8e2x - 12

A: Given problem:- Solve for the solution of: (D2 - 4)y = 8e2x - 12

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

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Q: Find the exact length of the curve. X = v 3 y (y - 3), 16 ≤ y ≤ 25

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