Evaluate the integral ex 2e-2x - 3e2x | Arcsin V6e2x 2 A V3 +C ®Arcsin l V3e2x +C B © 2/2e-2x - 3e2x +C D -In 3e2x+V3e4x – 2|+C 2/3

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Q: V9 – x2 Consider the function f(x) = 3 Let R be the region bounded by the curves y = f(x) and y = 0 ...

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Q: dx Evaluate (1– 2x)² 1 2 O -1 1 2

A: To solve the following integral

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A: Given query is to find the area of shaded region.

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A: Given problem:-

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A: Multiple questions are asked, I am answering the first question.

Q: Evaluate the integral S/5+12x² – 4xª xdx (5+ 12x2 - 4x9) +C (2x2 - 3)W5+12x? - 4xª + 14Arcsin - 4xª)...

A: We can evalaute the integration as follows:-

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Q: Linear Differential Equation of the First Order 2y (y – x) dy = dx Ox = y? - 1+ cey? O xy? = 1 – ce

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

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Q: In Exercises 47-62, use a sketch to find the exact value of each expression. 47. cos(sin £) 49. tan(...

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A: This question is based on derivative.

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A: Solved below

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Q: 1. Consider the integral | 2nx g(x) dx. There is a function g(x) such that when u = In x the resulti...

A: Given integral is: ∫2ln x g(x) dxsuch that for u = ln x∫2ln x g(x) dx=∫2u duFind g(3) This can be ev...

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Q: зах X-Vx

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Q: 3 sin? 4t + 8 cos² t

A: Solution: L{3sin24t + 8cos2t} Use the following identity : sin2x=12-cos(2x)12 =L{312-cos(2·4t)12+8co...

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Q: Use Stokes' Theorem to calculate the integral / curl F · dà where F = -5yi+ 5xj + (xy+4 cos z)k and ...

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Q: 9. Find y' and y" for the following curves: a) x2 + y² = 1 b) x³ + y³ = 1 c) x* + y4 = 1

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Q: y 4 3 2 -3 -2 -1 2 3 4 5

A: Using simpson rule with n=4 .   

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Q: No

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Q: 10* tan væ – In () DIFFERENTIATE the given:

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A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A: (4x2+y2)dxdy = -xy ....(1)f(x,y) dxdy =ϕ(x,y)The given differential equation is ahomogenous equation...