7. Given the equation y = 2 cos[4(x + 3)] + 1: a) rewrite the original equation if the period changes to T. b) rewrite the original equation if the amplitude changes to 5.

Q: 8. Sketch one period of y = -3 sin(Tx+ ). Clearly state the amplitude, period, and the phase shift.

A:

Q: -4x -2n Amplitude= Period= Equation: 2.

A: the given graph is: we have to find the amplitude, period and the equation of the given graph.

Q: -2/Graph the function y = -2 cos(3(x - 60'] + 4. Indicate the amplitude, period, phase shift, and…

A: To graph the function is: y=-2cos(3(x-60°))+4

Q: 10) Find the period, amplitude, and sketch one cycle of the function y = 2 + 3 cos s(2t-). Clearly…

A: given function is ,                         y=2+3cos2t-π3 we have to find period, amplitude and…

Q: Write a function of the form y = A cos (Bx − C) + D that has period pi/4, amplitude 2, phase shift…

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Q: dy b) Solve cos?x+y = tan x dx.

A: In this question we have to solve the differential equation.

Q: a) Write an equation for a sine function with an amplitude of 2, midline at y = 1 and a period of 2

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Q: Consider the function y = –4 cos( 2x - (5π/3) ) – 2. a) What is the amplitude?  b) What is the…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Find the Period of the equation: y = 6 cos (2x)

A: Consider the function y=6cos2x   Known fact: The standard form of the cos function is y=acosbx+c+d…

Q: Consider the function y = -4 cos 2x - - 2. 3 a) What is the amplitude? b) What is the period? c)…

A: Since you have asked for a question with multiple sub-parts , we will solve the first three…

Q: Graph one complete cycle of y = 2ain (2x-) State the - amplitude, period, and phase shift.

A:

Q: Given g(x) = -4 sin()-¹, a) Determine the amplitude. c) Write the equation of the midline. d)…

A: