tation by an angle 0 can be written in matrix form as: [cos(0) - sin(0)] sin(0) cos(0) Use this and composition of linear transformations to show the following trigonometric io cos(0, + 02) = cos(01) cos(02) – sin(61) sin(02) sin(61 + 02) = sin(81) cos(02) + cos(8,) sin(82) %3D

Q: Question The function f(x) = 3-13 + x| is graphed below. Use geometric formulas to evaluate the…

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Q: f(x) = -2sin(x) Amplitude: f(x) = -3cos(x) Amplitude: f(x) = 6sin(x) f(x) = 10cos(x) %3D Amplitude:…

A: If f(x) = Asin(mt + n) or f(x) = Acos(mt + n) then amplitude = |A|

Q: f(3– 2i) = 5 + i, f'(3 – 2i) = -3i, g(3 – 2i) = 3i – 1, and g'(3-2i) = 4i. %3D Find (fg) (3 – 2i).…

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Q: 5. Find dy: dx (a) y = cas (21x² + 6x + 2) 4 (b) y = cas² (21x² + 6x + 2)

A: The given functions

Q: Ch 3.5 #10 Can you show me how to do this

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Q: sin (0) cos(0) d0, cos (0) dө, u = sin(0)

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Q: 33. f(x, у) — у -3/2 tan -1 (x/y)

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Q: 1. Describe the transformations for the equation below compared to the parent funciton y = x³.…

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Q: 1. Determine the value of h in each translation. Describe each phase shift (use a phrase like 3…

A: To determine the value of h in each translation. To describe each phase shift. (i) gx=fx+1 (ii)…

Q: Question 3 Find two functions f(x) and g(x) so that h(x) = (fog)(x) a) h(x) = (2x +3)². %3D

A: The function h(x) is defined as hx=fοgx

Q: Write down the auxiliary (characteristic) equation and then find a general solution of the given…

A: Hiven differential equations are (a)  and (b) .We need to find the auxiliary equation and then…