Use the cylindrical shell method to calculate the volume of the solid formed by rotating the graph of f (x) =x° about the y-axis on the interval 0, 2]. Note: Round to the nearest hundredth.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: 1-. 5x <35 -2 (х-3) (х+3)* (*+1(5-х) 7-3. 2х - 3 <4 x-1 2.4, 25. -23х -5 - 8<-20

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A: To answer the given question using the given tables of g'(x) and g''(x).

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Q: . a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

A: taylor polynimial formula and steps I given below.

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Q: Question 5 of 25 An airplane climbs at an angle of 24° at an average speed of 480 mph. How long will…

A: Let 'h' be the hypotenuse sin(24°)=3.1h 0.40674=3.1h ⇒ h=3.10.40674 h=7.62158

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Q: 3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and…

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Q: Consider the function f(t) = 3 sec?(t) – 4t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

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A: This question is related to Functions, we will solve it using given information.

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A: To find out the points on the given curve, where the tangent line is horizontal or vertical.

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A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

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A: We know that; The standard form of the linear differential equation of first order is: dydx+Py=Q ;…