Consider the polar curves C₂: r = 4 cos 0 and C3 : r = 4 sin 0. (a) Set up the integral that gives the area of the region inside both C₂ and C3. Set up using Polar coordinates

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A: Follow the procedure given below.

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A: To write the system of equations in matrix form

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A: We know that integration of Xn is xn+1/n+1.     Here i attached the solution of this question.

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A: This question is based on length of a parametric curve calculated using definite integral.

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A: This integration can also be found from area under the curve .

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A: This question can be solved using the concept of triangle law of vector addition.

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A: A detailed solution is given below

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A: Follow the procedure given below.

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A: See the answer below

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A: We can solve this as follows:

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A: First  I have found the Area of the shaded region region then find the critical point and then find…

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Q: please

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A: The graph is shown below, where the shaded region represents the area.

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A: Vector

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A: Let's find.

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A: To find out the limit.

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Q: . [ID # ending in 4 or 7] a?v if v csch y = e*². dv Determine ( + ду. ax дх ду

A: Here, the given function is: v csch y=ex2⇒v=ex2csch y⇒v=ex2sinh y