Find the total length of an astroid x2/3 + y2/3 = 22/3, which can be parameterised as x = 2 cos³ 0, y = 2 sin³ 0. For one complete cycle of astroid the range parameter 0 is from 0 to 2r.

Q: Find the period and phase shift of the graph of y -) + 2, and 18 sketch its graph over two periods.

A: Given y = tanπ18 - x3 +2 Compare it with the equation y = a tan (bx + c) +d Hence a = 1 , b = -13 ,…

Q: Sketch two cycles of y=3 cos(4x) Show the numbers that scale the x and y axes

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Q: graph one fundamental period of  y=-tan(x-pi/2)+1 phase shift=              period=

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Q: Sketch one cycle of y = 2 cos (4x) label your axes

A: Draw the graph of y=cos4x by using the values of the table .

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: Find the amplitude, period, and phase shift of y = 2 sin(r-)

A: The given function is  y=2sin12x-π4               ⋯1 Consider the standard sin function with…

Q: 9) sine functon amplitude =2 Deriod T/3 phase shift vertical shift ty equation: %3D

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Q: 3. Graph one cycle of y = -4 cos ( 2x +4) + 1 State the amplitude, frequency, period, and interval…

A: Given : Function y = -4 cos2x + π4 + 1   To find : Draw the one cycle of given function and state…

Q: 2) A hamster wheel is 6 cm in diameter and the base of the wheel is 1 cm off the ground. If the…

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Q: Determine the equation of the cosine function that has an amplitude of 4, a period of 2T, and has a…

A: The general equation of cosine function is y=AcosBx-C+D Here,  A=AmplitudeP=2πB=PeriodCB=Horizontal…

Q: Determine the A amplitude , P period and Ph phase shift .

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Sketch the graph for I period.

A: According to question, Given function, fx = 5 cos 12x

Q: Graph one period of the function y = 1/2 cos x - 1.

A: we have to graph one period of the function y = 12 cos x - 1

Q: What is the period of the graph of the function y=3cos(2pix)

A: Graph of a function is

Q: Identify the graph of 1 y.= 4 cos 3x

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Q: A sinusoidal function has an amplitude of 6 units, a period of 60°, a minimum at (0, 2). Determine…

A: A sinusoidal function has an amplitude of 6 units, a period of 60°, a minimum at 0,2.  Determine an…

Q: Compute the exact value of cos (-7π/ 8) . Show work and do not use a calculator.

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

A: Solve by period property

Q: A sine function has a period of P units and has a phase shift of 2 units (to the right 2 units) when…

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

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Q: Match each graph with its equation Ic r= sin(2 0) r= cos(6 0) r= cos(2 0) r= cos(3 0) r= cos(7 0)

A: The first graph represent the image of cos(6 theta) The second graph represent the image of cos (3…

Q: Give an equation for a transformed sine function with an amplitude of 3, a period of , and a phase…

A: Given That : Amplitude  =3 Period =π4  phase shift =π5 To Find : Transform equation of sine function…

Q: If cos u = - 2/3and u terminates in QIII, find sin u.

A: Given: cosu=-23, u terminates in 3rd quadrant We know that if u is in 3rd quadrant then sinu and…

Q: Graph one period of the function    y = 3 cos(π/2x-3π/2)+2

A: Given function