1. To obtain the graph of y=asinb(x-h)+k, explain what each of the values of a, b, h, and k affects the graph of function y=sinx.

Q: Find an equation of the tangent line to the graph of  y = x(x + 3)5 at the point (1, 1024).

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Q: Without solving, match a solution curve of  y'' + y = f(x)  shown in the figure with one of the…

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Q: Find the equation of the line tangent to the graph of f(x) = -3 cos (x) at x 2

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Q: Determine the missing coordinates of the points on the graph of the function.

A: The missing coordinates are given in the following graph as follows.

Q: Determine the missing coordinates of the points on the graph of the function

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Q: Find an equation of the line tangent to the graph of f at the given point.

A: Equation of tangent line at point x0, y0 is y-y0=mx-x0 Where 'm' is called slope and m=dydxx0

Q: Which of the following describes the behavior of the graph of y = |x² – 16| at x = 4: a.…

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Q: Write an equation for the tangent line to the graph of y = e* + x² + 1 at x = 0.

A: we have to write an equation for the tangent line to the graph of  at x=0.

Q: Find (and simplify) the equation of the tangent line to the graph of y = 24 at x = 1.

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Q: 20. Find the point on the curve y= /x that is closest to the point (3, 0).

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Q: Find the lengths of the curves in y = tan x, -7/3 < x < 0

A: In this question, the concept of integration is applied. Length of curve The length of the curve…

Q: Assume y = 3 · 5* is the equation for the blue line shown in the graph below, and that the black…

A: The equation of curve is:  y=3·5x

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 4.…

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Q: 18 4. Determine the equation of the tangent to g(x) = at the point (1,2). (x+2)2

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Q: 1- Find the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point. x = N.

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

Q: 4. Sketch the graph and find the relative extrema on the indicated interval: y = 4x1/3 + x1/3 [-2,2]

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Q: find an equation of the Tangen line to the graph of y = e^-x^2 at the point  (2, 1/e^4)

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Q: 1. Find the slope and equation of the tangent line to the graph of g(x) = x² + 2x + 1 on the…

A: NOTE- AS WE ARE ALLOWED TO ANSWER ONE QUESTION IN ONE SESSION SO, I HAVE ANSWERED FIRST ONE FOR YOU…

Q: Find a function of the form y = Asin(kz) + C or y = A cos(kz) + C whose graph matches this one: -8…

A: The maximum point on the graph is at 3  . that is y intercept is at (0,3) When the maximum point is…

Q: Sketch the graph of the following between x = 4T and x = = 47. y = sin x 0.5+ -Зл -27 2л Зл 47 -0.5+

A: We have to sketch the graph

Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

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Q: Find the point on the curve Y = √x closest to the point (3,3)

A: Given the curve is  y=x So the coordinates of any point in curve is given by x,x The distance…

Q: The tangent line to the graph of y 5x-x' when x 3 is y -22x +54 OB 8. y-12x +54 y=-9x+5 OD.

A: The equation of the curve is given by y = 5x-x3 To evaluate : The equation of the tangent line to…

Q: y-e-x4cos4x ស

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Q: Show that the graph of y = 5 and y = log,. x are reflections of each other with respect to the line…

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Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

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Q: Determine the missing coordinates of the points on the graph of the function.

A: Given: y=arccos x  ……1

Q: Find an equation of the line tangent to the graph of f at the given point.

A: Solution:Given          f(x)=sec-1(ex);              (ln 2, π/3)To find the equation of the line…

Q: Use the guidelines of this section to sketch the curve   y = x e -1/x

A: The given function is y=xe-1x. Sketch the graph of the above function as shown below.

Q: + 6) 2. Find the points where the tangent is parallel to x-axis, y =(x - 3a

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -4 and g'(2) = 5.…

A: Given function is                                              y=g(x), at x=2g(2)=-4 and g'(2)=5 we…

Q: Does the graph of Sxsin(1/x), x + 0 g(x) 1o. x = 0 |have a tangent line at the origin? Give reasons…

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Q: Sketch the graph of the following between x = 4T and x = 4т. y = sin x 0.5 -Зл -2л 2л 47 -0.5-

A: y=sinx between x=-4π and x=4π

Q: Determine the missing coordinates of the points on the graph of the function (X1, Y1) = (-1, ]---)…

A: Given function  y = arctan (-x)

Q: Find the point on the graph of f(x) = Vx that is closest to the point (5, 0). (x, y) =

A: Use distance between point concept and then differentiate

Q: 1. If Y= 4 cos x + sin 2x, what is the slope of the curve when x=2.

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Q: Find the slope of the line tangent to the graph of y = tan-1 x at x = -2.

A: Given: y=tan-1x at x=-2

Q: Sketch a graph of f(x,y) = x sin(y).

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Q: For what value(s) of x does the graph of 1 f(x) = – x² +3 have a .2 - horizontal tangent?

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Q: Find an equation of the tangent line to the graph at the given point.

A: Find an equation of the tangent line to the graph at the given point.

Q: If y = -cos x, what x-value corresponds to a y-value of between T and 27? ? ]T

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Q: The equation of the tangent line to the graph of the function y = 7* – 4e² at a - O is

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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: Explain with drawing the effect of increasing of each value of (A,B and C) on graph of…

A: The given function is: y=A+B sin (Cx)

Q: 2. Sketch the graph of the function (b) ƒ(x, y) = Vx² + y? – 1 -

A: our objective is to draw the graph.

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: ind the equation of the osculating circle at x=2 for y= 1/4x^2-x. Draw the circle

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Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = 0 and B'(24) = -…

A: Given,         y=Bx at x=24 if B24=0 and B'24=-14.

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: Determine the missing coordinates of the points on the graph of the function. (x₁, y₁)=(-√3, (x₂+x₂)…

A: We need to determine missing coordinates.