Evaluate. e14x (e14z +13)² (Note that the constant of integration is already included) dx +C

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A: Understanding of the concepts of the Mean Value Theorem is required to solve these kinds of…

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

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A: We have to find the work W required to pump the water out of the spout.

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A: Solution of given question is written in below steps.

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A: Follow the procedure given below.

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Q: D O 1.909 Question 14 Find the length of the plane curve given below. r(t) = 5cos(t)i+5 sin(t)j, [0,…

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Q: Evaluate f dx √1-16x²

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Q: 8. Solve the differential equation: y' √x 7y

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Q: For f(x) = (x + 1)²-3 where x > -1, find: a. The inverse function, f-¹(x) b. The domain of f-¹(x) c.…

A: Given f(x)=(x+1)2-3 We know that, A function g is the inverse of function f if for y=fx,…

Q: Find the general solution of the differential equation. y (4) + 2y" + y = 9+ cos(4t). NOTE: Use C₁,…

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Q: At what point do the curves r₁ = and r₂ = intersect? ( ) Find their angle of intersection, 0…

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Q: Question 16 Find the curvature of the plane curve y = 5x² +8 at x = -1. Round your answer to three…

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Q: directional

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Q: Əw əx aw ду Əw əz rentiate implicitly to find the first x² + y² + z²-7yw + 10w² = 9 11 || partial…

A: We can solve this as follows:

Q: IntegrateIn(a) da. о х5 5 x5 ln(x) - x5 25 x5 In(x) - - 25 x4 5 ·ln(x) + 1 X - x5 5 x5 25 +C + C + C…

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Q: 9. Solve the differential equation: xy + y'=100x

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Q: Solve, finding all solutions in [0,2x) or [0°,360°). 2 sin‘x+ sinx=0 2

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Q: The Doyle Log Rule is one of several methods used to determine the lumber yield of a log (in…

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Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: Discuss the continuity of the function. sin(z) ex + ey f(x, y, z) = continuous except at (0, 0, 0)…

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Q: S 4x+1 4x² + 2x + 1 dx In 14x² + 2x +1| + C Option 1 In 14x² + 2x + 1] + C 2 In 1 4x² + 2x +11+ C…

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Q: Use the divergence theorem to evaluate ]] F .dɔ̃ where F = xyi – ¹⁄y²j+zk and the surface consists…

A: Here, the surface consists of the three surface z=4-3x2-3y2; 1≤z≤4 on the top x2+y2=1, 0≤z≤1 and z=0…

Q: Integrate fx Sx O cos(4x) dx (sin(4x) - x sin(4x)) + C cos(4x) + 4x sin(4x) + С (4x sin(4x) +…

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Q: ● 0.010 Question 17 Find and simplify the function h (x, y, z) = 0 2 31 04 31 O = O 2 17 N 8 31 4 17…

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Q: Farmer Jones and his wife, Dr. Jones, decide to build a fence on their farm. Because Dr. Jones is a…

A: Follow the procedure given below.

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find both first partial derivatives. z = exy дz ax əz ду = (No Response) (No Response)

A: The given function, z=exy

Q: 3.745 O 7.491 Question 13 Find a at time t = 2 for the space curve r(t) = (8t − 7 )i+t²j− 10tk.…

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Q: Consider the function on the interval (0, 2x). f(x) = 2x + 4 sin(x) (a) Find the open intervals on…

A: The given function,   fx=2x+4 sinx

Q: Workout Problem j Part a: ( 1. Find the domain of the vector function r(t) =

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Q: yey dx = (y² + 2x e¹) dy

A: The given differential equation,     yeydx=y3+2xeydy

Q: I wrote the same answer and still got it wrong, why did I get it wrong?

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Q: x² - 2x x3 3x² - - dx -In 1x³ 3x² 1 + C Option 1 Option 3 - -In 1x³ 3x² 1 + C In 1x³ 3x²1+ C Option…

A: SOLUTION-

Q: Consider the following. (Round your answers to four decimal places.) f(x, y) = x cos(y) (a) Find…

A: Solution of given question is written in below steps.

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

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Q: The directional derivative of f(x, y) = -xe²y – x³y at the point (0, 4) in the direction of the…

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Q: Question 12 Find a at time t = 1 for the plane curve r(t) = 4t²i+ 3tj. Round your answer to three…

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Q: Determine the area between the graphs of the equations y=x and y=(x)^2-1. Integrate over the x-axis…

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