1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose = sec0 + tan 0 = tan² ( sec0-1

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A: ∫vn dv =vn+1n+1+C .

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A: Given a function f(x)=(3x3+3x2-4)x2 Formula used : d(xn)=nxn-1

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Q: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

A: Determine the way in which the line [x, y, z] = [5, −9, 3] + k[1, −12, 2] intersects the plane [x,…

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A: Follow the procedure given below.

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A: To find the value of given indefinite integral.

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A: See this solution in below.

Q: a-limx. 1x-4 Tollowing b- limx-o (sin (sin x) c- limx→→z 5x²+x³ 10x +2x5,

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Q: 1.) Determine whether the following series is convergent or divergent using The Comparison Test. ∞…

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A: Let's find volume of solid.

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Q: Determine p'(x) if p(x) = (5x)7x and x = 4. Select the correct answer below: 2028 (51n 20) 2028 (7In…

A: Given p(x)=(5x)7x and x=4To find p(x):

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A: The given differential equation,     64y''+16y'+y=0

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A: Follow the procedure given below.

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Q: The base of a three-dimensional figure is bound by the circle x² + y² = 9. Vertical cross sections…

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Q: find the volume of the solid generated when the region R is revolved about the x-axis

A: To find the volume of the solid generated when the region R is revolved about the x‐axis.

Q: 10.) L So exte-x dx È

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

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