Describe the transformations applied to y = sin x to obtain y = 2 sin(3x+5) + 1.

Q: What is the phase shift of the function f(x) = sin(x+ 2)? %3D

A: For any  sinusoidal function f(x) = Asin(Bx + C)  The phase shift is  = -C/B

Q: Evaluate cos (4x) dx. cos (4x) dx = %3D

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Q: Sketch the graph of y = 2 sin x from x = 0 to x = 2n by making a table using multiples of 1/2 for x.…

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Q: Find y' for X= cos( sinx)

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Q: Let y = (3x + 2 sin(x))ª. %3D

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Q: Evaluate the dx sin 3x + c tan Vr2-3-V3 tan V3 - sin3x+c

A: The integration of a function with respect to x over an interval gives us the area between the curve…

Q: Sketch the graph from x = 0 to x = 4p.         y = 3 cos x + sin 2x

A: The given equation of the curve is: y = 3 cos x + sin 2x, and interval is 0≤x≤4π. To sketch the…

Q: Evaluate f 1+cos 4x dx 1-cos 4x

A: To evaluate the given integral.

Q: If y=a cos(sinx)+b sin (sin x) then y"+(tan x)y'+cos2x=0

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Q: Find the period of the function y = sin(2x + 1.5). %3D 2 2 2л

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Q: Find y' tan³ (5x - y) + cos ¹(5x - y) = 100

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Q: Determine the amplitude of the function y = 2 cos x. Then graph the function and y = cos x in the…

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Q: Determine the amplitude of y = 1/2 sin x. Then graph y = sin x and y = 1/2sin x for 0 ≤ x ≤ 2p.

A: Given y=12sinx

Q: find y" (second derivetive) of the function y = cos(2x) 3 - 2 sin²(x) and find the inflection point

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Q: Differentiate. y =  x Cos-1 x

A: Given: y = x cos-1x To Find: Derivative of given function Formula Used: Derivative of cos-1(x) is…

Q: 1 y = cos (2*)

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Q: tan(x²y) = (x + y)³ %3D

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Q: 1. S sin²x cos³x dx

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Q: Use the graph of y = 2 sin 2x in the figure to obtain the graph of y = 2 csc 2x.

A: The function of the given graph is y=2sin2x. Since, y=sinθ and y=cscθ are reciprocal to each other.…

Q: dy If y = tan-[ sec2(5x² + 1) csc-3 (cos 3x)]. Find

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Q: y=2(21,2-1 + arctan x) 2 2 x-1

A: Please see the whiteboard.

Q: Determine the amplitude of the function y = 2 cos x.Then graph the function and y = cos x in the…

A: Given-  y=2cosx To find- The amplitude of the above trigonometric function and draw the graph of the…

Q: Find the first and second derivatives of r = [3 cos 2t, 3 sin 2t , 4t].

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Q: find y = (cos(x))os®)

A: Let y=(cos(x))cos(x) By using the logarithmic differentiation, Apply logarithm on both side…

Q: Calculate f/2 ( sin a) da xp

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Q: Transform r = 12 sin 0 into rectangular form.

A: Given r= 12 sinθ

Q: Cos 2x %3D 1-sin 2x

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Q: Sketch the graph from x = 0 to x = 4p.       y = cos x + 1/2 sin 2 x

A: Given that: y=cosx+12sin2x To draw the table,

Q: How do you graph the function     y = 2 sin x + cos 2x?

A: To graph the function

Q: y=$sin(4x-

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Q: Evaluate: | sech[In cosx]tanx dx A -2 tan -1(e cosx) +C В -2 tan -1(cosx) +C 2 tan -(ecosx) + C (D 2…

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Q: Find y' of sin(x+y)=x+y

A: Given,              sin(x+y)=x+y

Q: Sketch the graph from x = 0 to x = 4p.         y = 2 sin x - cos 2x

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Q: tan x 2. (D'+) y %3D

A: We are allowed to solve one question at a time, since you didn't ask for any specific question so…

Q: : Use the result of Example 3 to evaluate '피/2 dx 1 + sin x

A: To evaluate the integral ∫0π2dx1+sinx Solution: The given  integral is, ∫0π2dx1+sinx Multiplying…

Q: Evaluate cos (x)sin (x) dx

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Q: Evaluate cos(x) - 1| dx.

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Q: Draw 1) y = sin (x +÷) – 2 2) y = 5cos2 x |

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Q: Sketch the graph of y = 2 sin x from x = 0 to x = 27 by making a table using multiples of t/2 for x.…

A: Amplitude of the waveform is 2. x y=2sin(x) 0 0 π2 2 π 0 3π2 -2 2π 0

Q: 8) Find the vertical translation of y = -2 +2 sin 3x +

A: Given function: y=-2+2sin3x+π6

Q: Evaluate and simplify y′. y = 2x2 cos-1 x + sin-1 x

A: Given:y=2x2 cos-1x+sin-1x

Q: dx Evaluate sinx – cosx – 1 A. In tan- 1+C C. In tan-1+C B. In tan+1+C 2 D. In tan+1 +C 3

A: Solve the following integral

Q: a) y=In(*). x tane 4 cos x y = 3x + sinx b)

A: Given: The functions are, a) y = ln ( x tan ex )

Q: 4-y+ tan x y = cos2x %3D

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Q: Determine the amplitude of y = - 1/2 sin x. Then graph y = sin x and y = - 1/2sin x for -π ≤ x ≤ 3π.

A: We have to graph the following functions y=sin x y=-12sin x   We have to find the amplitude of…

Q: y = sin (tan 3x) -1

A: Using derivative of composite functions.