Find T(t) and N(t) at the given point. r(t) = 11 cos(t)i + 11 sin(t)j + tk; t= -11 /122 T(5) V122 0, 122 122 N |(0, – 1, 0) - ||

Q: Let f(x) = sin(z), g(x) = 1 – , then (go f)(z)= Select one: O a. sin? (x) O b. sin(1)(1 – r²) O…

A: Option c is correct.

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A: Given: The vector r(t)= a cost i + a sint j+ ct k   (a≠0, c≠0)

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A: Given query is to find the area of parallelogram.

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A:

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A:

Q: Please find all 0 <0 < 2n, for which .. (a) tan () = v3 (b) 3 sin? (0) + 4 = 5 (c) 2 cos(ln(x² + e*)…

A:

Q: Let r(t) = cos(t) i + 4 ln(t² + t)j + 5 tan¯¹(t) k. Find 7' (t).

A:

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A: the given function is  y = 2 sin3x+π-1

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A:

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A: To make substitution and re write the given Integral.

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A: NOTE : As per our guidelines we are supposed to answer only one question . Kindly repost other…

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A:

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A: ∫02f4xdx Now, solve the above integral, ∫02f4xdx=∫01f4xdx+∫12f4xdx=f4·1-f4·0+f4·2-f4·1=f8-f0=1-0=1…

Q: Solve for all values of x over the interval [0,27]: 2sin(x) = sin(2x)

A: 2 sin x = sin (2x)             = 2 sin x cos x Hence 2 sin x - 2 sin x cos x = 0  2 sin x ( 1 - cos…