Find the volume of the solid formed by rotating the region bounded by the graph of y=1+√x, the y-axis, and the line y = 3 about the line y = 5. 13.333 17.657 41.888 None of these

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A: Using the formulas of Cos(2x) and Cos(4x)

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A: Given: 5)     fx=14x43+x13+x-23 After simplifying we get     fx=14x43+x13+1x23 Critical points:…

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Q: If 1 1. f(x)dx = n(x) - tan(x) - 4² + x² + 6x + 0 4e C 3 then find f(x)

A: We can find f(x) as below, by finding the derivative.

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Q: Question 2 a) [ ] Show that the equation 4x - 8y + 12z + 2x² + 2y² + 2z² = -20 represents a sphere,…

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Q: Switch the order of integration of the following integrals, then evaluate: ƒ ƒ x sin(y²) dydx = x=0…

A: Explained below

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Q: (d) A√x X²-2 3z +9 use quotient Rule use quotient Rule

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A: The solution is given below

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A: In this question we are going to fill these blank up.

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A: y=8x13, for 0≤x≤18, about y-axis

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A: Let's solve.

Q: Part b: ( a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: Find and classify the critical points of f(x,y) = 4r+20² - y²

A: Find and classify the critical points of f(x,y)= 4x+2x2-xy2.

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A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: find f f'' (x) = 2 + cos (x) , f (0) = 7 , f (pi/2) = 2.   f (x) =

A: I am attaching image so that you understand each and every step.

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Q: Q.1: Solve the differential equation below; xy' + 4y = 8 x¹

A: We have to solve above differential equations

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A: As per Bartleby guidelines rule I am answering only first question as both question is not a…

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A: The given curve,    y=35x53-34x13+9 on 1,27

Q: 150 Find the consumers' surplus for a product if the demand function is given by D(x) = 3+x Answer…

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Q: A B 3-5 In Ix-31+ C X --5 In Ix-31 + C x3 3x²+5 (x-3) S: C dx x3+5 In Ix-31+ C D x3 +5 In Ix-31+ C

A: Evaluating the indefinite integral

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A: We need to find P(x).

Q: Part 1 Basic Integration Solve the following integrals through video presentation. 1. f(4x²-3x²+) dx…

A: I can solve it but i can't explain like video presentation. It's a basic integration. Just apply…

Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

A: We can find the answer as below.

Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

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Q: Find d [f₁z²dA where R = {(x, y) | 36x² +16y² ≤ 576}

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Q: 25 x4+X'+2x х4 +X3+2x2+3x-2 x2-3х +2

A: We need to evaluate: ∫x4+x3+2x2+3x-2x2-3x+2…

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A: We know that cos θ=Adjacent sideHypotenusecos 60=12

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A: Must have idea about the seven steps to determine the graph of any rational function.

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (42³1 + (4t³i + 14tj…

A: We need to find integral.

Q: Problem 2 Solve y" - 25 y = x ex

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Q: Given that the graph of f passes through the point (1, -5) and that the slope of its tangent line at…

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Q: Evalute fi f (y³ – xy)dydx -

A: NOTE: As per our guidelines, I have solved the first problem. If you want the answer of other,…