Find the equation of a sine wave in the form y = a sin(x + c) +d that is obtained by shifting the grap of y = sin(x) to the right 6 units and downward 6 units and is vertically stretched by a factor of 3. a = C = J00

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Q: Find the speed at the given value of t. r(t) = (sin(3t), cos(6t), cos(7t)), t = " 2. II

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Q: T For y = 5 cos ( 4x 3 - its amplitude is its period is its horizontal shift is

A: Given  y= 5cos(4x-π/3)  We have to find its  1) Amplitude 2) Period  3) horizontal shift

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A: The given sinusoidal function is: Tx=16.11sin0.51x-1.75+9.14   ......(1)where T is the temperature…

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A: We have given parametric equation x=4sint, y=2cost  We have to find the tangent line of the given…

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A: We use the following identities to find values of other hyperbolic functions:

Q: A particle is moving in such a way that its velocity v is given by the equation v(t) = cost + sin t.…

A: Given : vt = cost + sint

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Q: Find the equation of the tangent line to the curve y = 4 sin x + 2 cos a at the point (0, 1/2). The…

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Q: (a) Give the equation of the tangent function with the following: Vertical stretch/compression = 8,…

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: If the position of a moving object is s(t) = (sin t) meters above zero at t seconds, then what is…

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Q: Find the extrema of the function below using Newton's Method. cos( ) +x² – 3r

A: Here we have to find the extrema of the function f(x)=cosx4+x2-3x using Newton's Method.…

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Q: Find a particular solution Yp A cos wt and enter the amplitude factor A rounded to 4 decimal places.

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Tangent line for a curve at a point is a line which just touches it and is "parallel" to the curve…

Q: The amount of daylight in a town can be modelled by the sinusoidal function d(t)= 4.37 cos 0.017t +…

A: Solution of given question is written in below steps.

Q: Q2/Find the length of the curve r = sine + cose between

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Q: The displacement of a spring vibrating in damped harmonic motion is given by the following equation.…

A: Since you have asked multiple questions, we will solve the first question for you. The other…

Q: If the position of a moving object is s(t) = (sin t)^2 meters above zero at t seconds, then what is…

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Q: For a cosine function with amplitude A=0.75A=0.75 and period T=10T=10, what is y(4)y(4)?

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Q: . The voltage V and the current i at a distance x from the sending end of the transmission line…

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Q: find an equation for the line tangent to the curve at the point defined by the given value of t.…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: dx 5) prove that sin x+c using method of trigonometric substitution. %3D

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Q: Q4: Find the length of the curve r = 4 sin 0

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Q: I"y= sin?t+ tant, x=- In(- cost)– e sinr, find the value of y whent=". 4

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Q: A particle travels along the x-axis such that its velocity is given by v(t) = = t.9 sin (3t). What…

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Q: T/2 cos" e sin 0 de by by (a) a substitution, and by (b) using the gamma Evaluate function, and then…

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Q: A 125 m cable weighing 2 kg.s per m is suspended between two towers at the same level. The sag is 9m…

A: The equation of sag is  S=wl^2/8T The equation of catenary is  Y=a*cosh(x/a)

Q: check by differentiation that y=5COSE 4 Sint is a solution to y"ty=D0 by finding the terms in the…

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Q: Find the equation of the tangent line to the curve 1 y = 3 sin z + 4 cos a at the point (0, 1/4).…

A: Given:     y = 1 / ( 3 sinx + 4 cosx ) Point: ( 0 , 1/4 )

Q: A particle travels along the -axis such that its velocity is given by v(t) = t²2.³ sin (t – 1). Find…

A: To find all the times when the speed of the particle is equal to 5 on the interval 0≤t≤5. Given…

Q: 15 Find the Equation of the tangent at (); 4 2 'V or to armist mi Y sin (127) = x cos (24) 7 ition]…

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Q: for the functions below: a) if y-sinu, u-3x+n find dy/dx at point(0,1) b) Find for the function y =+…

A: we are given: y=sin u and u=3x+π ⇒y=sin (π+3x)=- sin 3x ⇒dydx=-3 cos 3xdydx(0,1)=-3 cos 3(0) =-3…

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Q: Use the value of the given hyperbolic function to find the values of the other hyperbolic functions.…

A: cosh2x-sinh2x=1cosh2x=1+sinh2xcosh2x=1+2516cosh2x=4116cosh(x)=±414

Q: If the position of a moving object is S(t)= sin t)- meters above zero at t seconds, then what is its…

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Q: At what point does the sine function y = sin x, cross the y axis? O (T, O) O (0,0) O (1,0) O (0,1)

A: Given  function is y=sinx. We have to find the point at which the function y=sinx cross the y-axis.…

Q: The position of a particle in meters at time, t, seconds is given by s(t) = cos2(3t). Find the…

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Q: 5. Given the equation xy = Arctan(ye*) where z is a function of a and y, Əz əz find and ar ду

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Q: Using a similar method to above, that is, integrating by parts twice, the following result may be…

A: In this question we have to prove Integration by using Integration by parts.

Q: x=sinht,y=cosht.

A: Dear student, since what is to find by using given parametric equations is not mentioned in the…

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Q: For what value(s) of x in the interval -15 sxs -5 will the sinusoidal function shown below have a…

A: By definition, a function is a special case of a relation between the members of two sets. It is a…