10. State the equation of a sine function in the form f(x) = Acos(wx) with an amplitude of 3 and period of 9. 10pts

Q: 8) Given y = 1 +3 sin 2x, Find the Amplitude Interval and Period y = A sin (B (x+C)) + D 2x Period =…

A:

Q: A sine function is graphed below, and given in standard form y A sin(B (x – C))+D -6- -2 Enter the…

A: We find a curve y = A f(B(x-C))+D by making following transformation in the curve y = f(x), (i)…

Q: What is the amplitude of y= 4 sin 3x? 1 4

A: We can find the amplitude as below

Q: Plot y = B sin(Aπx) cos(x) with a solid line over the interval 0 < x < 3 with the vertical axis set…

A: close allclear allformatclc A = 21;B = 5;C = 3;y1 = @(x) B * sin(A*pi*x) .* cos(x);y2 = @(x) B *…

Q: 6. What is the period of the following sine wave? y = 900 sin(2π 4x106 t)

A:

Q: What is the period of the function f(x) = -4 cos os(5-9)-7? %3D Give an exact value. units

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Q: . Sketch the graph of g(x)=sin7x, using the amplitude and th period.

A: To sketch the graph of the function

Q: Given y= 0.3 Sin (0.2 - 0.1 x) determine • four roots • three maxima and minima • range , period…

A: To solve this, let's first understand the given function y = 0.3sin(0.2 − 0.1x): Roots:  Roots of…

Q: 12. Which equation represents the cosine function with amplitude 2 and period 4z. (a) y (с) y = 2…

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Q: Show | S a² sin®(e*) dæ| < 16n*. 8 Show | S, x2 sin°(eª) dx| < 3

A:

Q: I = sin³x cos³x dx

A: Given the integration : ∫sin3 xcos3 xdx

Q: 27. What is the Period of y=-5 sin anpitude amplitude and (x+7) Period = ?

A: given y=-5sin(x+7)

Q: What is the amplitude of the following graph? y = 4 sin (x +3)+ O A. 4 О В. 8 о С. 3 O D. 2

A: To find the amplitude of the given function

Q: What is the amplitude of g(r) = -9 cos S co(--) + 87 %3D units

A: Given function :

Q: d 4. Use the quotient rule to prove that cot(x)]=-csc°(x) by first writing the cotangent function in…

A:

Q: What is the amplitude of the graph y=-3 sin( 7(x-2))+4? O A. T O B. 4 O C. 2 O D. 3

A:

Q: 7. Determine all the solutions to the equation in the interval [0, 27): sin 20 cos0 – cos 20 sin0 +1…

A: As we know that Sinx-y=SinxCosy-CosxSinyThe genaral solution of Sinz=-1  then z=Sin-1-1=nπ±π2

Q: 4. (a) Find sin (0) given that cos (0) = 1/5 and 0 is in quadrant IV.

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Q: 16. Give the amplitude of 35 --+-sin| 4x 53 17. Give the period of y = -4 cot (2x + 3n).

A:

Q: Match each graph or description of the sine/cosine function on the left to its corresponding…

A: Solve by period property

Q: 4. Express the function f(x) = 11 sin x +7 cos x as a function in terms of sine. Express your answer…

A: To find 11sinx+7cosx in terms of sine function only.

Q: Find the amplitude, period, and phase shift of the fur y=2+3 sin| 3x+ 4

A: