17. a. Find the equation of the line tangent to the function at the given value of x. b. Use a graphing utility to plot the curve and the tangent line. y = cot x; x = 7

Q: (vii) 5.001 = mpQ (viii) 5.0001 MpQ = (b) Using the results of part (a), guess the value of the…

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Q: Find an equation of the line tangent to the following equation at point x = 1. y = xcot x

A: To Find an equation of the line tangent to the following equation at point x = 1. y = xcot x

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Q: At what points on the curve y=cot x is the tangent line parallel to the line y=-x ? Choose the…

A: Given that: y=cotx

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

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Q: 58. Find an equation for the tangent line to the graph of y = Vx? + 3x at the point (1, 2).

A: The given function is y=x2+3x. Compute first derivative as follows. dydx=ddxx2+3x=12x2+3x…

Q: (d) Find the points(s) on the curve where there is a vertical tangent line. Find the exact point(s),…

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Q: Question 1 The slope of the tangent line to the curve C at the point (1, 2) is (A 4 -2 C) 2 D -4 B

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Q: The image below shows the graph of y = e along with one of its tangent lines. (а, b) If the…

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Q: Find a general expression for the slope of a tangent line to the indicated curve. Then find the…

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Q: The slope of the tangent line to the curve y = is: at the point (8, 8. Question Help: Message…

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A: Given,            The slope of the tangent line at any point x,y on a curve is 2x.            The…

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A: Given :

Q: In (r? – 3) + e?-² at the 1. Find an equation of the tangent line to the graph of y = point (2, 1).

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Q: 3. At what point(s) is 9 the slope of the tangent line to the curve y=xr' - 3x'.

A: Given: Curve y=x3-3x2 Slope is 9 The slope of the tangent to the curve is given by dydx.

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A: Minimum slope of line

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A: Slope of the tangent is obtained by dy/dx

Q: Find the slopes of the tangent lines to the curve y = Vx at *,=16. The slope at ,=16 is Blank 1. The…

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A: Part 5:   The line y=mx+c

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Q: (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at…

A: First we have to find slope of line for different values of x-

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Q: Consider the following. Function Point (÷) f(x) = tan? (a) Find an equation of the tangent line to…

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Q: ya fix)

A: Since you have asked a question with multiple sub parts , we will solve the first three subparts for…

Q: For what value of x is the tangent line to the curve y= x2 - 6x +5 horizontal? A -6 B -3 (D 3 (E)…

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A: The explanation of answer as follows :-

Q: (b) Using the results of part (a), guess the value of the slope m of the tangent line to the curve…

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Q: 5 25 Find the slope of the line tangent to the curve y =x at the point and then find the…

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Q: find an equation for the tangent line to the curve atthe given point. Then sketch the curve and…

A: y=4-x2,  -1, 3 Now differentiating with respect to x, we get dydx=0-2x=-2x Now slope of the tangent…

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A: Find your answer below

Q: The slope of the tangent line to the graph of y? = In(xy) at the point (e, 1) is :Select one -e-1.a…

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: Question 6 The slope of the tangent line to the curve y =x² + 4x + 7 at x = 1 is Blank 1. Blank 1…

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Q: 1- Find an equation for the tangent line to the curve at the given point. Then sketch the curve and…

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Q: Given the curve y=x2 and a point (5,17) Find the x intercept of the tangent line to the curve…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: