Find the arc length L of the graph of r(t). r(t) = 2 cos(t)i +2 sin(t)j+tk, 0

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A: topic - application of derivatives

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A: Explanation of the answer is as follows

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A:

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A: Given: f(x,y)=xsinxy

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A: This question can be solved using the concept of continuity of a function at a given point.

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Q: nd the linearization of f(x)= {Vx at c = 64. Use the linearization to approximate 64.05.

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Q: Find an equation for the hyperbola with vertices (+8,0) and foci (+10,0).

A: Here we have to find the equation of the hyperbola with vertices ±8,0 and foci ±10,0

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A: answer is in next step

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A: topic -exponential function

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A: Follow the procedure given below.

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A: This is a product to sum formula. This is a direct formula and here I m providing the formula onthe…

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A: To solve the following problem

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A: Answer is in below step.

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A: On solving this we will get

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Q: 2 - 41 -y =0 /2

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Q: 9 Find the length of the major axis of the equation x 2 + 4y 2 = 4. 8 2 4

A: Standard equation of ellipse is x-h2a2+y-k2b2=1 with major axis is the horizontal axis.And length of…

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A: We have to find if the given series is converges.

Q: 1. Consider the curve defined by 9x2 – 16 y² +36x + 96y– 252 = 0. a) Write the equation of the curve…

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