4. Find a polar equation for the curve represented by the Cartesian equation y = 3x. T = r cos 0, y =r sin 0

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A: We will evaluate the given integral ∫x2x2x2-4dx in the following step.

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A: Let's find. 

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Q: 6. Evaluate the following indefinite integral as an infinite series. sin x (a) (-1)". 2n+1 (b) (-1)"...

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Q: II. Evaluate the following limits. 1. lim sin x X→- 2

A: To find out the limit. 

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A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

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A: The graph is shown below:

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A: As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫sinxdx=-cosx+C   From the given integration; (...

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Q: Original Integral Rewrite Integrate Simplify dx 9. X + C dx

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Q: Activity 1. Solve for what is asked. dy 1 1 1. Find :+= = 8 dx y 2. Find : x²y2 – 2xy = 8 dx 3. Find...

A: Differentiate with respect to x.  According to guidelines we solve only first three parts. 

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A: Given problem:-

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A: As per our guidelines we can help you in solving only first three subparts. Rest of the problems you...

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A: True. When a particle moves along a curved path, it is sometimes convenient to describe its motion u...

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Q: E Valua te :- 1X+2y) dx dy when

A: Given problem:- ∫∫D(x+2y)dx dy  Where D : y=2x2 , y=1+x2

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A: This is a problem related to vector. Based on the general formula vector we will solve the question.