Determine the equation of the form y=acos b(x-c)+d,a>0of the function whose graph is shown below. 2T 27 3 4T 3 y=1/2cos(3pi/4+pi/2)-1| I

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A: We are given the function f(x)=2x2-2x+3. Now,           f'(x)=2x2-2x+3'       =2x2' -2x' +3'…

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Q: 2) Consider the curve defined by -8x² + 5xy + y³ = -149 dy a) Find dx b) Write an equation for the…

A: solution is given below

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A: Solved below

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A: equation of the tangent line with slope m and point (x_1,y_1)  y-y_1 = m ( x- x_1)

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A: Here is the solution of the given problem. Slope. Tangent Line.

Q: 50 Find the length of the curve whose equation is given by r = e on 0 < 0 < 2T.

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A: First take the derivative of f with respect to x.

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Q: x = 2t + 1; y = t? - 6t + 1; find the points where the graph has a horizontal tangent line.

A: Slope of a tangent is given by  dydxfor horizontal tangent line:slope=0              dydx=0

Q: (a) If g(x) = x2/3, show that g'(0) does not exist.(b) If a ≠ 0, find g'(a).(c) Show that y = x2/3…

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Q: %3D 42. Find f(x) dx for each graph of y = f(x). (a) y. (b) y 2. 1. 3 aronh of flr) = 2x + 3 and

A: Given query is to find the valuebof intgy from the graph.

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A: Given the curve  y=tan x

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Q: Q 8/ Find all points on the graph of f(x)= (x-3)(x-2) at which the -1 tangent line is horizontal.…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: 3 | co - 4. Find the length of the curve y = 7(6+ x)2 from x = 189 to x = 875.

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A: a). Given, y=216x2+36 Differentiating with respect to x, we get…

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A: Given parametric curve is  x=t2, y=2lnt where t&gt;0.

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A: As per the guidelines, we are supposed to answer only 1 question.  Please repost the rest of the…

Q: If f(x) = 2a? – 3x + 5, find f'( – 1). Use this to find the equation of the tangent line to the…

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Q: If f(x) = 3x2 – 2x + 5, find f'(2). %3D Use this to find the equation of the tangent line to the…

A: Topic - slope and equation of tangent line

Q: If f(x) = 2x? - 4x + 4, find f'(3). Use this to find the equation of the tangent line to the…

A: Solution of question as follows

Q: Sketch the graph of y = -3 sin(x) on the axes below. 4 3 2 -7/2 7/2 37/2 27 -1 -2 -3 -4

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Q: If f(x) = 3x - 5x + 2, find f'(5). 25 Use this to find the equation of the tangent line to the…

A: f(x)=3x2-5x+2f'(x)=6x-5   Slope = 25  and point (5,52) To find equation of tangent line y=mx+b we…

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Q: Choose the correct graph of y = sin x, -"sxS T: 1 -37 21 -1 -2

A: The given function is: y=sin x ;                 -3π2≤x≤π

Q: Q4: L.Find the tangent of the curve y at the point (2,2) y = 31*+ 21 and x-1? 2. Find where

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

Q: Choose the correct graph of y = sin x, - T < x < 2 T; and y = csc x, - T < X< 2T: 2 1 27 -1 -2

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Q: Q4) A- Graph the following functions and determine (domain, range): (1) y=sin/x/ (2) y=/x²-2/ (1) y…

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