Find the total area of the shaded region shown to the right given by the curve y = 2( sin x)√1+ cosx. The total area of the shaded region is. (Type an exact answer.)

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A: We have to find solution of differential equation.

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A: Solving using BoDMAS rule

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A: Solution given below

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A: Solution:  Step_1  :       ∫ln x dx we will solve it by using integration by parts method.

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A: To find out the critical points, maximum and minimum and absolute maximum and minimum.

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A: Let's solve limit problem.

Q: If w = f(r, s, t), r = x-y, s=y-z, t=z-x then dw ax Əw Əw 0 O -1 -2 1 2 O

A: Use composite function to solve this problem.

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Q: Median √3 St= = = How? $0.9062 0.9062 Cos (1-√3x) dx = 1/2 -0-1 a=0.5968

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A: ∫ eu du = eu +C Note : As per our Guidelines , we can solve first question as your parts is not too…

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Q: AXB=[% O O O O O Given the following matrices A-B-²3³] [8 12-241 So 16 24 -48 a. a=6, b=6 Ob. a= -6,…

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Q: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

A: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

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A: What is the value of 3+2

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Q: Evaluate the indefinite integral Select one: O a. 1 (1 - √√x)4 1 O b.. O c. - + C (1 - √√x)² 1 + C +…

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Q: Determine the angle between the following two planes: 4x - 3y2z - 2 = 0 3x + 2y + 5z-5=0

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Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

A: Solution is given below:

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A: We have to evaluate ∫sin2x cos2x dx.