Find an equation for the line perpendicular to the tangent to the curve y =x° - 9x + 7 at the point (3,7). What is the smallest slope on the curve? At what point on the curve does the curve have this slope? Find equations for the tangents to the curve at the points where the slope of the curve is 18.

Q: EVALUATE. Find the equation of the family of curves whose slope at any point (x,y) is -4e-2xsin2x.…

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Q: Find the equation of the line tangent to the given curve with the given slope. View the curve and…

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Q: 1.) Find the slope of the curve y^2=3x+ 1 at the point ( 1/3,0) Draw the graph of the Curve.

A: Slope of curve is given by its derivative   Given curve, y2=3x+1

Q: 2x+1 Find the equation of the curve whose slope at (2,3) is given by 2y-3

A: Given that: Slope at (2, 3) is given by 2x+12y-3

Q: Find an equation of the line tangent to the graph of y = at the point (16, 4/4). Answer: y =

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Q: Find the coordinates of the points on the curve y = x³ - 6x² + 14x – 12 at which the tangents have a…

A: We will differentiate with respect to x and equate the same to 5 and find the points.

Q: Find the equation of the tangent to the curve  y = -5x2 + 6x +7 at the point (1/2 , 35/4)

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Q: Find the slope of the curve 1 at the point P (2, ;).

A: Explanation of the answer is as follows

Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

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

A: Given data:     The expression for the equation of the curve is: (x-2)2=-4(y+3). The given point is:…

Q: Find the equation of the line segment tangent to the curve y−2x^2−1=0 which is parallel to the line…

A: Given curve is y-2x2-1 = 0

Q: Q4 if xy-yx=6 is the equation of a curve, find the slope and the equation of the tangent line at the…

A: As per our guidelines we can solve only first question. Please repost the other questions that need…

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Q: Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the…

A: We have to find an equation of the tangent line to the curve at the given point.…

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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Q: Find an equation of the tangent line to the graph of the equation 6x - 5x8y7 = 36e6y at the point…

A: In this question, we will compute the equation of the tangent line of the given curve.

Q: Q.4 If y-x' y = 8 is the equation of a curve, find the slope and the equation of the tangent line at…

A: Given that:           y3-x2y=8

Q: find the slope of the curve at the point indicated y = 1/x - 1, x = 3

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Q: Find an equation for the line that is tangent to the curve y = 3x-3x at the point (1,0).

A: y = 3x3 - 3x P= ( x1 , y1 ) = ( 1,0 )

Q: Find an equation of the line tangent to the graph of y = at the point (4, 6/2). Answer: y = 이별

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Q: nd the equation of a curve whose slope at any point is equa d which passes through the point ( 2,9…

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Q: Find the slope of a line tangent to the curve of the given equation at the given point. y = x2 - 3;…

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Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 4x? – 4x.…

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Q: Find the x-and y-intercepts of the line that is tangent to the curve y = x3 at the point (-2, -8).

A: The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Q: B. Find the slope of the curve at the given point. 1. y = 4 – 3x2 at (-1, 1) 2. y = x2 – 5 at (1,…

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Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 6x2 7x. -…

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Q: find the slope of the curve at the given points (x2 + y2)2 = (x - y)2 at (1, 0) and (1, -1)

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Q: Find the equation of the curve that passes through the point (8, 6) if its slope is given by dy =6z-…

A: We have to find y

Q: Find the slope of the curve at the given point: 1. ( X+2y)^2 =x+10 at (-1, 2)

A: Here I am attaching image so that you understand each and every step. slope of the curve given at…

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

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Q: Find the x value of the point on the curve y = 3x + 2 closest to the point (1, 0).

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Q: Find the slope of the curve: y= x^2/x^2 -1 at x=2

A: Slope of curve is the derivative of curve at the point .  Slope = m = ( dy/dx ) | x = a

Q: Find an equation of the curve that passes through the point (0,1) and whose slope at (x, y) is 11xy

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Q: Find the equation of the curve whose slope at any point is In and which xy2 passes through the point…

A: Point (x1 , y1) = (1, -2) Slope = ln1xyxy2

Q: Find an equation of the curve that passes through the point (0, 4) and whose slope at (x, y) is x/y.

A: Solution:find the equation of curuepasses through the point (0,4)slope of cwue is xydydx=xyy dy=x…

Q: C. Find the slope and the equation of the tangent line to the curve. 21: y=x²-4x+1 at (2, -3)

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: For a certain curve, y" = 6x – 8. Find its equation given that it passes through P(1, 0) with slope…

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Q: Find the equation of the line tangent to the graph of y = 4x'-9x-7 at the point (1,8).

A: Method to find tangent at a point of any curve.

Q: At the two points where the curve x2 - xy + y2 = 36 crosses the x-axis, the tangents to the curve…

A: x2-xy+y2=36

Q: Find the equations of all lines through the origin that are tangent to the curve y = x³ – 6x2 – 2x.…

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Q: 2а3x at (a, a) ,2 x2+a²

A: Given curve is,

Q: Find the equation of the family of curve whose slope at any point (x,y) is 3x^2+4

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Q: Two is the slope of the curve y = 4x + x2 at what point?

A: Slope of a curve is given by m=dydx  Use this formula to solve above question.

Q: 2) Find the slope and the equation of the tangent line to a curve: y = 3x? - 4x + 1 at x = 2.

A: The given curve is y=3x2-4x+1, we have to find slope and the equation of tangent line to the curve…

Q: a. Find an equation for the line perpendicular to the tangent to the curve y = x' - 9x + 4 at the…

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Q: Find the slope of the curve x3y3 + y2 = x + y at the points (1, 1) and (1, -1).

A: Given,