Find the equation of the tangent line to the curve at the given point. у %3D 9х — 8/x, (1, 1) у 3 Illustrate by graphing the curve and the tangent line on the same screen. y 4 F 2 2 х -1.5 0.5 1.0 1.5 2.0 -2.0 -1.0 -0.5 -2 y 4 2 2 I X х -1.5 -2.0 -1.0 0.5 1.0 1.5 2.0 -0.5 Find equations of the tangent line and normal line to the curve at the given point. y x4 3e, (0, 3) tangent line y normal line y =

Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

Q: Find an equation of the tangent line to the curve at the given point. y = 9ex + x,  (0, 9)

A: Given: y=9ex+xx1=0y1=9 The objective is to find the equation of tangent line to the curve

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A: Recall: Point - slope form : y-y1= m x-x1 ; where , 'm' is the slope and x1,y1 are the given…

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Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.

A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…

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Q: Find an equation of the tangent line to the curve at a given point . y = x^4+ 5x^2 -x , (1, 7)

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A: Given,           The curve is y=3x and point is 1, 3.

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Q: Find an equation of the tangent line to the curve at the given point. 2х + 1 8. у — (1, 1) x + 2

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Q: Find an equation of the tangent line to the curve y = 9" at the point (1, 10).

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A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the…

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Q: Find the equation of the tangent line to the curve at the given point. y = 4x^2-x^3, (1,3)

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A: Given query is to find the equation of the tangent line.

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Q: Find an equation of the tangent line to the curve at the given point. y = (1 + 3x)1, (0, 1)

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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: Find an equation of the tangent line to the curve at the given point. y = 2ex + x, (0, 2) y 11

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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

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.

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Q: Find an equation of the tangent line to the curve y =√x at the given point (4,2).

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Q: + y3 equation of the tangent line to the curve x 4 at Find an (-3/3, 1).

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Q: 5. Find the equation of the tangent line to the curve at the given point 4 X X+3 (1,1) %3D

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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)…

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Q: Find an equation of the tangent line to the curve at the given point. y = √ x,  (81, 9)

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Q: Find an equation of the tangent line to the curve at the given point y = x3 - 2x + 2, (2,6) y =

A: From the given data:

Q: Find the equations of the tangent line and normal line to the curve y = (2 + x)e¬* at the given…

A: We will find out the required solution.