Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = e* about the x-axis over the interval [0, 5]. V =

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A: Domain is the set of input values for which the function is defined. Range is the set of output…

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A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: End P4)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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A: To evaluate the given integral.

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A: Given y1= 2x² is a solution of 2x²y''-xy'-2y=0....(i) So 2x²y1''-xy1'-2y1=0....(ii) Let y=…

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A: Explanation of the answer is as follows

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Q: e auxiliary equation of the DE: sy"-4 y"+ -2 y=0 is s m3-4 m2+-2 =0. Lect one: True False

A: We have to choose the correct option from the given options

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A: If x=5sinθdifferentiating On both sides.dx=5cosθ∫x225+x2dx=∫(5sinθ)225+(5sinθ)25cosθ…

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A: I have stated the used formulas in the solution

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

Q: dæ Evaluate: 9x² + 4 A None of the given choices B f (x) = -4 ln 9x² + 4 + 2 + C f (x) = -2 ln 9x2 +…

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A: Explanation of the answer is as follows

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A: Topic = Integration

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

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225…

A: The given integral,         ∫-40∫03y+14y dxdy

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A: To find the value of given double integral.

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Q: 25s^2+202s+25. FACTOR THIS QUADRATIC EQUATION ACCURATELY.

A: 25s2+202s+25=0We know that solution of quadratics equation ax2+bx+c=0 is x=-b±b2-4ac2a Herea=25,…

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Q: 3 3 25x ? 2 7x3 3 16х5 dx 5

A: use property of integral to solve this.

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A: Rx dollars is the total revenue from the sale of x television sets: Rx=600x-120x3i To find the…

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A: ∫xdxx-1

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A: Let's find.

Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

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A: 1)f(x)=(2x) -0.5 2)f(x)=(1+sinx)/(x+cosx).

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A: A detailed solution is given below

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A: Here we have to evaluate the given integral.

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A: