Answer: Use a triple integral to find the volume of the solid enclosed by the paraboloids y = x² + z² and y = 32 – x² − z².

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Q: •y+1 Q5. Evaluate S₂ S¹¹ xy dx dy. -2 Jy²

A: Topic = Integration

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A: Given: x=y2+y+1 from 0≤y≤2To Find: To determine the arc length of the given curve over the given…

Q: Q4. Find the values of the constants a, b, c so that - F = (axy + bz³)ī+ (3x² − cz)j + (3xz² − y)k…

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A: We have to solve above question

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Q: Find the Taylor Series generated F(x) = ११० (7-X)12 {'(x) = (2x)10 9 (7-X)10 90 {"(x) = (7-x)" by…

A: To find the Taylor series generated by fx=17-x9 at x=6.

Q: T/F: The half-life of the exponential function P(t) = et is T = ln(2).

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Q: Q4. Find the values of the constants a, b, c so that F = (axy + bz3³)ī+ (3x² - cz)j + (3xz² - y)k is…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

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A: Question is solved.

Q: A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 7,…

A: To find out the position of the particle.

Q: The function f is shown below. What is the value of nswer in simplest form. -8 -3 N 3 H N W 4 in -5…

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Q: Let y = 5√√/T. Find the change in y, Ay when x P 3 and Ax 0.2 = Find the differential dy when x = 3…

A: Given the function y=5x

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Q: Compute the given integral. 11z - 2 11x² - 4x + 5 -dr +C

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Q: Find the integral of f(x) = e- sinh(x) between 0 and 1.

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Q: Find the first five terms of the sequence. 011/5 82=1/25 83 1/125 841/625 85 1/3125 50 Determine…

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Q: Find the area bounded by the curve xy=2 and the line x+y=3 O 0.11 O 0.17 O 0.22 0.05

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Q: c. y = (x³ + 4)√4x²+2x − 5 /2z²+5 (x+3) d. y =

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Q: Find a formula for each function graphed below. a. b. (-1,4) -3 -5 (-4,-1) (1,2) (3,-2) O -3- (1,-2)…

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Q: 1.5: The area of the region enclosed by the graph of f(x)=√x and the x- axis on the interval [0, 4]…

A: To find area

Q: Find the partial derivatives (f, and fy) of the below function and simplify your answe f(ru) = (ru)2…

A: Topic:- application of derivatives

Q: of the function given by the equation derivations details.

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A: Answer is c

Q: Evaluate f 4x²-3x+2 X dx.

A: Given, ∫4x2-3x+2xdx

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Q: 3. Give an example of a situation in which composite differentiation might be used. Give examples of…

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Q: = Using calculus, find the absolute maximum and absolute minimum of the function f (x) [-3,2].…

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Q: Let W be the subspace spanned by u, and u₂, and write y as the sum of a vector in W and a vector…

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Q: Find the integrating factor μ(x) of y' + 4y - tan(x) = 0 such that μ(0) = 1. μ(x) =

A: See the details solution in below

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Q: 3. Suppose that F(t) is a twice-differentiable function of one variable. Define the function f(x, y)…

A: At first we derive second order partial derivative of the given function   f(x,y)=yFxy.

Q: Evaluate f(x, y, z) dV for the specified function f and B: JB f(x, y, z) dV = f(x, y, z) = Z x 2 ≤ x…

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Q: Q1. Find the equation of sphere with center (1, 2,-1) passing through the point (-1, 2, 1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Let f be a continuous function such that 10 1 of f(x) dx? 4 What is the value of 4 8 f(x) dx 10 1²°…

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Q: Write the following expression as one integral. 3 5 3 [ -6 f(x) dx + f(x) dx - f(x) dx 0 0 3 5 3 $…

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Q: f (x, y) = 169 x² + y² at (-3,2).

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