Match each graph with its equation. F(t) = [cos(t), sin(t), t] v F(t) = [t cos(t), t sin(t), t] ]F(t) = [cos(t), cos(t), sin(t)] ]F(t) = [cos(t), t, sin(t)] а. b. c. d.

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A: I have stated the used formulas in the solution.

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A: We have to give an example of a value of z such that the equation sinx=z is unsolvable.

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A: Use substitution method.  Convert cos(2x) = 2cos^2(x) -1

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Q: Verify the identity sin t - cos 2t = (2 sin t - 1)(sin t + 1).

A: sin t - cos 2t=(2sin t-1)(sin t +1)Formulascos 2t= 1-2sin2t

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Q: Use a computer algebra system to graph the function. f(x, y) = sin 1/ x + cos 1/ x

A: To plot graph of given function.

Q: 5. (a) 2e' sin? (b) e cos ?1

A:

Q: Let y = sinx, if y(n) = sin x then n =

A: This question can be solved using the concept of higher order derivatives.

Q: Find T, N, B,

A: Consider the given vector, rt=sinti+2costj+sintk The formula for Tt is given as, Tt=r'tr't Now,…