Find the volume of the prism. 12 ft 27 2 ft 3/ ft V = [?] ft³ Write your answer as a mixed number that is simplified completely. Enter the number that goes in the green box.

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Q: 4. For the series Σ=1+()", does it converge and if so what does it converge to? * n²

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A: SOLUTION-

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A: We can solve this as follows:

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A: for spring outing, 1/3 of the students in a school decided to go out on a saturday picnic. most of…

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A: We have to find derivative of given function.

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A: Solution is here

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)]…

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Q: Suppose that the total profit function for a company is given by P(x) = 4x³ - 210x² + 3600x - 200,…

A: We have to choose correct option for given questions.

Q: (a) Assume that f(x, y, z) and F(x, y, z) are arbitrary differentiable functions such that f(x, y,…

A: Given

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Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

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Q: car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A: Given initial velocity (u)=45 ft/secFinal velocity, as brakes are applied (V)=0Acceleration=-7…

Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

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Q: Find the first derivative of -5x²+2x-5 210x -5x²+2x-4 ебх о о 5x2-2x+5 P5х 2 x2+1 e5x

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Q: Q4A) Find area bounded by y = 0, y = √x - x² using double integration.

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Q: 5. What is dummy variable? Explain the mean value theorem for integrals. Evaluate the following…

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Q: 12. Integral x² dx x³ +4

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Q: Given the functions: f(x)=x²³-7x g(x) = √5x h(x) = 9x-2 Evaluate the function (hog)(x) for x = 5.…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

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Q: 14. Integral 2 dt 31-4

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Q: Concept Check: Evaluate the following integrals: 1. f(3u³ - 2u³ +/u) du

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √7-x, 1 ≤x≤7

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Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm…

A: Our Aim is to find the amount of paint required to coat thickness of 0.04 cmby considering a…

Q: CHECKPOINT 1.24 Integrate the function [²₂x³dx.

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Q: I(X) {(-2,1), (1,4), (2,5), (3,6) g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7…

A: 1. hf17=h47                  =-16+27                   =-147                    =-22.…

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Q: 8. 9. A) 1−sinx Ĵ (COSX + 1 COS X+X 2(cosx+x)2 E) ·x)³ dx = ? 1+tan²a (2 + tana)² -+C B) +C D)…

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Q: Find the area between f(x)=x² - 16 and the x-axis from x = 0 to x = 7. The area is square units.…

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Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11)= 8. (Do…

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Q: Solve the following initial value problem completely, and check your answer by comparing it to the…

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Q: B)Solve the differential equation **

A: Here, the given DE is: dydx=x6+4yx⇒dydx=x5+4xy⇒dydx-4xy=x5 which is a linear DE with P(x)=-4x&…

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Q: Find the equation of the tangent to the curve at the point where x = 1. f(x) = √x 2√x+1

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Q: Consider the integral 11 [™ (22² + 2x + 1) da (a) Find the Riemann sum for this integral using right…

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Q: Find the area between the curve f(x) = x2 +11 and the x-axis from x = 3 to x = 7. The area is square…

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