In the figure above, line L is tangent to the graph of y = at point P, with coordinates (w, ) , where w> 0. %3D Point Q has coordinates (w, 0). Line L crosses the x-axis at point R, with coordinates (k, 0). 31. Find the value of k when w = 3.

Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: The line y = mx + 1 is a tangent to the curve y = 4x .Find the value of m.

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Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

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A: The equation of curve is:  y=3·5x

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Q: .3 ax when x= For what values of a and b is the line -3x + y = b tangent to the curve y 4? b

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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: (x2 + y2)2 = 4x2y, (1, 1) Bifolium: 1.4 1.2 (1, 1) 1 0.8 p.6 0.4 0.2

A: Find equation

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

Q: Find y' and the slope of the tangent line to the graph of (3x - 5y)5 = 2y2-9 at the point (3,2).…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the given…

Q: 1. In the open interval (0, T/2) , find the point where the slope of the curve is 4? y = tan x

A: Given function , y= tan x, we have to find at what point, slope of the the given graph is 4.…

Q: Find an eauation of the line that is tangent to the guaph f fand parallel to the given line Function…

A: Recall: Equation of the line is y-y1=m(x-x1); where 'm' is the slope.

Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizontal? A B) -6 -3 D none of…

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Q: The line y = mx + 1 is a tangent to the curve y2 = 4x .Find the value of m

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Q: (a) Find the slope m of the tangent to the cûrve y = 7/Vx at the point where x = a > 0. m = (b) Find…

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Q: 1. Find the slope of the line normal to the curve at (1, 2). y=v5x-x? 4 A. 3 В. -4 С. D. E. None of…

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Q: The line y = 2x + b is tangent to the graph of y = 1x at the point P = (a, 1a). Find P and determine…

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Q: The curve y = sin I has a slope of Select one: O a. at = O b. at z = 0 . O c. Never

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Q: The line y=x+b is tangent to the graph of y=x1/2 at the point: P=(a,a1/2 ). Find P and determine b.

A: Given, The line y=x+b is the tangent of the graph y=x12 at the point P=a,a12

Q: y-e-x4cos4x ស

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A: The object is at rest when the velocity is zero. X- axis : time Y-axis: velocity

Q: 2) Determine the points at which the following curve has the slope of 2. x = 3sin(t), y=6cos (t)…

A: We will find the points.

Q: Find the slope of the tangent line of the function y = In (x) at x = e2 O1/e? 4/et O 1/e* O 2le2

A: Topic = Derivative As per guidelines, At a time only one question can be answered out of different…

Q: 3. What is the slope of the tangent line to the graph of y =- at x = 2? x+1 1 A) 3 B) 9e - C) 4e 4…

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Q: The graph of the curve + y° = 6xy is shown above. The slope of the tangent line to this curve at the…

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Q: For what value of x is the tangent line to the curve y= x² – 6x +5 horizontal? (A none of the given…

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Q: 1. In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = tan x

A: Given the curve  y=tan x

Q: The velocity of an object moving along a line is given in the graph below for 0 <t < 8. At t = 0,…

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Q: 3. For what value of x will the slope of the tangent to f(x) = 3**e* +5x +17 be equal to 5?

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Q: 6. Find all values of x in the interval [0, 2 n] for which the slope of the tangent to y e* csc(x)…

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Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

Q: 1. Find the slope of the given curve at the indicated point a. y = x³ – 4x? + 3, at x = 2 b. y =, at…

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Q: The velocity of an object moving along a line is given in the graph below for 0<t< 8. At t = 0, the…

A: Integration is area under the curve so simply calculate the area under the curve with proper sign.

Q: Find y' and the slope of the tangent line to the graph of (2x-3y)4 = 3y3-8 at the point (2,2). y'=0…

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Q: The tangent line to g(x)at x=3 is L(x)=7x−26 (see the diagram below). Find h′(3)where h(x)=(g(x))^4.…

A: Given h(x) =(g(x)) ^4 To find h'(3)

Q: The velocity of an object moving along a line is given in the graph below for 0 <t< 8. At t = 0, the…

A: Velocity time graph given in the figure.  Initial position=10 Find the position after t=5 And total…

Q: If z is directly proportional to y and z = 48 when y = 6, %3D ty a. find an equation relating y and…

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Q: 49. rınd an equation for a line that is tangent to the graph of y = e and goes through the origin.

A: Given,            we have to find the equation for a line that is tangent to the graph of y=ex

Q: fa is a positive integer, then the slope of the tangent to the graph of y = a²a - aln(ax + 1) at a =…

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Q: For what value of x is the tangent line to the curve y= x2 -6x+5 horizontal? A) none of the given…

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Q: Does the graph of S0, x< 0 U(x) = 1, x2 0 have a vertical tangent line at the point (0, 1)? your…

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Q: The line y = mx + 1 is a tangent to the curve y? = 4x .Find the value of m.

A: We have to find the value of m for which the line y=mx+1 is a tangent to the curve y2=4x. First we…