(*.:)- 3 at the point ( 4, The slope of the tangent line to the curve y = is: 4 Preview The equation of this tangent line can be written in the form y = mx + b where: Preview m is: b is: Preview

Q: If h(x) = 7 – 2æ", find h' (2). Use this to find the equation of the tangent line to the curve y =…

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Q: 7. If y = find y' and use this result to find the points on the curve y = where the tangent line has…

A: slope of curve is given by dy/dx.

Q: The curve below is called a witch of Maria Agnesi. Find an equation of the tangent line to this…

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Q: B) Find all the points on the curve y=tan x, -n/2<x</2, where the tangent line is parallel to the…

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Q: Consider the following curve. y = (x+2)/(x-6) Find the slope m of the tangent line at the point (5,…

A: Here we have to use the concept of derivatives

Q: The slope of the tangent line at any point (x, y) on a curve is 2yx. If the point (9, 3) is on the…

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Q: 19. Which of the following illustrative equations will give a slope 10 of the tangent line to its…

A: A)y=2x2-2x at (2,3)Differentiate…

Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6)…

A: Given that: 1. y=2x2-3x+1      at (-1, 6)2. y=x2+x+1           at (-2, 3)3. y=3x2-x+1      at (1, 3)…

Q: Consider the following curve. x + 2 y X - 4 Find the slope m of the tangent line at the point (3,…

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Q: Determine all points on the graph of ƒ (x) = x* – x² – 1 for which a) the tangent line is…

A: Tangent line is horizontal at those points on the graph where derivative dydx=0 (1) At first we find…

Q: If h(æ) = 6 – 20", find h' (3). Use this to find the equation of the tangent line to the curve y = 6…

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Q: (a) The curve y = 1/(1 + x-) is called a witch of Maria Agnesi. Find an equation of the tangent line…

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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: Consider the following curve. y = 2x2 − 4x + 1 Find the slope m of the tangent line at the point…

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Q: Find the equation of the tangent line at the given point on the following curve x* +y° = 8. (– 2,2)…

A: The equation of of tangent to a curve f(x,y)=0 at a,b is (y-b)=dydx(a,b)(x-a)

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 of the tangent line to the curve y' = z'(3– z) (a piriform) at the point (2, -2/2).…

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Q: Find the equation of the tangent line to the curve (a lemniscate) 2(x + y²) = 25(x² – y?) a the…

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Q: Find the equation(s) of the tangent line(s) to the graph of the curve y-x-12x through the point (1,…

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Q: Let f(x)=2xex Find the equation of the tangent line to the graph at (1, 2e

A: Concept - used the formula for tangent line y-y1=m(x-x1)  Here m=dy/dx=slope

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: Find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

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Q: C. Provide what is being asked. 1. Find an equation of the tangent line to the graph of y = x* – 3x²…

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

Q: The curve below is called a serpentine. Find an equation of the tangent line to this curve at the…

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Q: What is the slope of the given curve at the specified point? x = cos(y); y = -pi/3

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Q: Consider the following curve. y = 3x2 - 10x + 1 Find the slope m of the tangent line at the point…

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Q: Consider the following curve. x + 3 y x - 5 Find the slope m of the tangent line at the point (4,…

A: Using U/V formula for calculating dy/dx.

Q: Find the equation(s) of the tangent line(s) to the graph of the curve y = x3 − 8x through the point…

A: Given curve is  y=x3-8x

Q: Let y = 1+ eX (a) Find an equation of the tangent line to the curve y at the point (0, 3). (b)…

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Q: Find the equation of the tangent line at the given point on the following curve. x* +y = 20. (2, –…

A: The given curve,    x2+y2=20, 2,-4

Q: Find an equation of the tangent line to the curve 2(1 + )° = 25(x² – 7) (a lemniscate) at the point…

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Q: Consider the following curve y = 2x^2-9x+1 a. Find the slope m of the tangent line at the…

A: Given         y=2x2-9x+1→           1       slope of the tangent line is        dydx=ddx2x2-9x+1…

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

A: Consider the given equation of the curve, y=1x2 differentiate the function to find the slope of the…

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

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Q: c) Finally, draw a large and clear sketch of the graph of f(x) = z² – 2 and illustrate the tangent…

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Q: Find an equation for the tangent ot the curve at the given point. y=x-x^2, (3,-6)

A: The slope(m)  of the curve at the point (x1,y1) is given by: m=dydx(x1,y1)…

Q: Consider the following curve. y =  x + 1 x − 8 Find the slope m of the tangent line at the point…

A: Given,           The curve is  y = x + 1x - 8 and point is ( 7 , -8 ).

Q: Consider the following curve. x + 3 X - 6 y = Find the slope m of the tangent line at the point (5,…

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

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Q: Consider the following curve. X + 3 y = X - 5 Find the slope m of the tangent line at the point (4,…

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Q: (a) If G(x) = 4x2 -x3, find  G'(a) and use it to find equationsof the tangent lines to the curve…

A: Gx=4x2-x3 Now differentiating with respect to x, we get G'x=42x-3x2=8x-3x2 Now slope of the tangent…

Q: 13. Show that there are no tangents to the curve y = can be concluded about the graph? 2x+1 4x +3…

A: We have to prove that negative slope is not possible for graph.

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

A: The given equation of the curve is y = x2. The slope of a tangent to a curve at any point is given…

Q: Consider the following curve. x + 2 y = x - 4 Find the slope m of the tangent line at the point (3,…

A: Find the slope of tangent by calculating first derivate of the given curve then write the equation…

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…

Q: The slope of the tangent line to the curve y = – at the point ( 3, is: 3 Preview The equation of…

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Q: Find an equation of the tangent line to the graph at the given point. (The graph is called a Witch…

A: The equation of the function is f(x)=8x2+4. The standard equation of a line passing through a point…

Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2).…

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Q: 2. Consider the graph of the equation r+ry+y- 5. Find the slope of the tangent line at the point…

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