NG) Find T(t) and N(t) at the given point. T r(t) = 8 cos(t)i + 8 sin(t)j+ tk; t = T()= NE) -| ||

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A: Explanation of the answer is as follows

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A: Eliminate parameter t.

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A: Follow the procedure given below.

Q: 9. Given that u = (1,5) and v = (-2,3), determine the following %3D -3u – 4v =

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Q: dr 4.

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Q: Convert the polar coordinates (0,23°) to Cartesian coordinates. (0, 0) (23, 0) (0, 23)

A: Explanation of the answer is as follows

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A: The curve y=3x32-4, from x=0 to x=1

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A: We need to choose correct option.

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A: Given query is to find the solution of the differential equation.

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A: For continuity limit of function at a point should be equal to functional value at that point.

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A: the solution is as follow

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Q: S 3+4x+3 dx x4-5x2+4 5.

A: Here, x3+4x+3x4-5x2+4=x3+4x+3(x2-1)(x2-4)⇒x3+4x+3x4-5x2+4=x3+4x+3(x-1)(x+1)(x-2)(x+2)

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Q: -8 6. 8 -8 (a) Where is f(x) 0? (d) Where is f(x) > 0? (e) Where is f(x) negative? () Where is f(x)…

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Q: 1. Sketch the region enclosed by the given curves: y = e*, y = x² – 1, x = –1, x = 1. Find the area…

A: (1)

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A: answer is in next step

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: H.w dy ーレ dy Xy in

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Q: 9. lul 4,0: Ju] 4,0 310°

A: Given query is to find the vector.

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A: Note: As per our guidelines, we are not restricted to handwritten or typewritten. We are free to…

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Q: x²+x+1 3. Use partial fractions. 2r²+2+x³+x

A: Explained below