r(t) = (−2 cos (2t), 3 sin (3t), In (2t)), then the fr(t)dt is equal to 3 Cos cos 4 where C is a vector constant of integration. (— sin (2t), Select one: O True O False —— (3t), t ln (2t) – t) + C,

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A: To find out the vector product.

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A: Given the limit is  limx, y→4,-5 25x2-16y2-5x-4y.

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Q: lim cot 1 -1 8418 1

A: A detailed solution is given below.

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Q: with the initial condition y(1) = 4. -0 Y

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Q: If and x = 2t, y = 5t, then the value of equal to 12. z = x - 2y, Select one: O True O False dz dt…

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A: The given function,  fx,y=x2ye5y8x4+7y2

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Q: Activity 1. Evaluate the following definite integrals by using the fundamental theorem of Integral…

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Q: (a) lim tan coth an [ coth()] -0+I

A: Solution is given below:

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A: We can find the correct answer by checking the individual options as below.

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Q: ax+2, x≤2 f(x)=4-x². 2<x<3 2x+b. 3 < x Find the value of a so that f(x) is continuous at 2. Find the…

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A: The given function is;  f(x,y)=4x2-3xy+5y-e3x+8y.