Given a = [2, 1, 01, b = [-3, 2, 01, c = [1, 4, -2] and d = [5, -1, 31, find: For a = [cos t, sin t, 1] and b = [-sin t, -cos t, 1], find (a - b)' and (a x b)'.

Q: If (x, y) = (-3, –3), then find the corresponding values of r > 0 and 0 < 0 < 2n in radians.

A: Explanation of the answer is as follows

Q: O Solve the following equation: z³ = 32 + 32/3i, z e C. Give the answer in polar form (radian).

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Q: The figure shows f, f', and f". Determine which is which. 2 y 0 -2 1

A: In this question we have to determine which is f, f' and f''.

Q: Find all values of x so that u · u = 50, where

A: Given u·u=x34.

Q: Find tan a. V[ ? (V5, -/7)

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Q: Evaluate: x tan x dx 3 A. – In /2 – 4 32 B. -1- 4 32 V3m _ In 2 – 5 3 18 D. NO correct choices. C.

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Q: Find the exact value of the sin(165∘)given that 165∘ =210∘− 45∘. Do not use any other combination…

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Q: lim sin (–3 x z) = z-3

A: To find- the limit.

Q: For numbers 18-20 18. Given the function f(x) = cos(5x), 0<x<2n

A: f(x) = cos(5x) differentiation of function f'(x) = -5sin(5x)…

Q: Let be the angle between u and v. Find cos(0). cos(0) = u = [6, 5, -1], v = [1,-1, 1] Determine…

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Q: Find the value of the expression: bain(z)-c.cos(z) fsin(z)-g.cos(z) to three decimal places for b=15…

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