Ch.3) 2. Find an equation of the tangent line to the given curve at the specified point: 13. (3) x* +2 at 1,- y = x +x+3

Q: [3] If the curve is defined by y = x* – 8x3 + 22x2-24x+9, then what are the value/s of x for which…

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Q: 59. Find an equation for the tangent line to the graph of y = xV2x + 3 at the point (3, 9).

A: Given that the function is y = x2x+3 To find the equation of tangent line at point (3,9). To find…

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: (a) The curve with equation y 2   = x3 +3 x 2  is called theTschirnhausen cubic. Find an equation of…

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Q: 8) Find the slope of the tangent line to the graph at the given point. (x² – y³)² = 4x²y - 3x -…

A: Consider the equation and the point

Q: Find equations for the tangent lines to the graph at the given points. 7ху + x %3D 8, (1, 1) and (8,…

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Q: The curve y = x /( 1+ x2 ) is called a serpentine. Findan equation of the tangent line to this…

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Q: 1. Find the equation of the lines tangent and normal to the curve 3x?y2=4x2-4xy. at the point…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

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Q: 4. At what point on the graph of y = ÷x² is the tangent line parallel to the line 2x – 4y = 3? A.…

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Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

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Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask…

Q: [10] At what point on the curve y = e*is the tangent line parallel to the line y = 2x? Give answer…

A: Given curve y=ex   and line y=2x

Q: Find the coordinates of the points on the curve y= x' + 5x + 3 at which the tangent: makes an angle…

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Q: Find an equation of the tangent line at the given point. xy + x2y2 = 6, (2, 1)

A: We first find dy/dx at x=2, y=1

Q: Find the equation of the tangent line to the curve at the given point.

A: To find the tangent at the given point on the curve, using derivatives

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

A: We know that equation of tangent line is given as - ( y - y1 ) = m ( x - x1 ) . Here 'm' is slope of…

Q: d two coordinate points at which the tangent line to the curve given by x² – 2x + 4y² = 15 is…

A: if the tangent is vertical then dydx will be ∞x2-2x+4y2=15differentiate 2x-2+8ydydx=04ydydx=1-xsince…

Q: , If the curves yı = -x² + ax +b and y2 x² + cx - 2 have the common tangent line at the point P(1,2)…

A: Given information: There are two equations  are y1=-x2+ax+b, y2=x2+cx-2 have a common tangent line…

Q: 30. Find the points on the curve y = tan x, -7/2 <x< T/2, where the tangent is parallel to the line…

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Q: The equation of the tangent line to the curve y = x2 – 4x at the point where the curve crosses the…

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

A: To find the slope, we find dy/dx at (4, 3) At (4, 3):

Q: Find the equation of the tangent line to the curve at the given point. y = 9x – 8/x, (1, 1) %3D

A: Given,           Equation of the curve is y = 9x -8x  and point = (1,1)

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

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Q: 7. Find the slope of the tangent line of the graph of 2ry+ y? = 3.x² – 4 at the point (-1, 1).

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Q: 1 Find the two points on the curve y=- at which the tangents have as slope of -.

A: Given,            The curve y=1x at which the tangents have as slope of -12.To find : The two points…

Q: find an equation of the tangent line at the given point. xy + x2y2 = 6, (2, 1)

A: Our Aim is to find an equation of the tangent line of the given pointxy+x2y2=6 -(i) at…

Q: Find an equation of the tangent line to the graph at the given point.

A: The equation of the given graph: x23+y23=5

Q: + 6) 2. Find the points where the tangent is parallel to x-axis, y =(x - 3a

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Q: what is the equation of the tangent line to the graph of xsin(xy) = (√2)/2 at the point (1, pi/4)

A: iven:xsin(xy)=12

Q: At what point is the tangent line to the curve y = 2x perpendicular to the line x – - 2y – 8 = 0? -…

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x), (7/6, 2/3/3)

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Q: A curve like Y = is called a serpentine. 1+2x2 3 n equation of the tangent line to this curve at the…

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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: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

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

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Q: Find the slope of the curve (of the tangent line) for the given value of x. 1) у %3Dх3 - 8х, х %31

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Q: Find an equation of the tangent line to the curve x^(2/3)+y^(2/3)=13 at the point (−27,−8).

A: Given:

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

A: Solving the problem by finding the slope of the tangent.

Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

Q: a. Determine the points where the curve 5x + 3y - y= 5 has a vertical tangent line. b. Does the…

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Q: (a) Find the equation of the tangent plane to the graph of : = (1,-1,5). + ) +4 at

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Q: 2. Consider the curve given by 3y2 – 2x²y³ +2x +9 = 0. Write an equation for the tangent line to…

A: The given curve is, 3y2-2x2y3+2x+9=0 The slope of the tangent curve is given by dydx Determine the…

Q: 6. Determine the equation of the line tangent to y = x+ tan r at the point (7, 7).

A: As per the company policy i can answer only first question for you, More than that leads me towards…

Q: Find the equations of the tangent lines of the curve y = that have slope 1+ 2r

A: Given data:   The expression for the curev is: y=2x1+2x. The given slope of the curve is: m=2/9.…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given: y=7-x Differentiate given equation with respect to x we get, dydx=-127-x Now at the point…

Q: 6. Given the curve y = x/x at what point on the curve is the tangent parallel to the line 4x – y + 6…

A: We will use differentiation and slope of line to solve this.

Q: The curve defined by the equation x^2+y^2=(2x^2+2y^2-x)^2 is called a cardioid. Find the equation of…

A: consider the given equation, x2+y2=2x2+2y2-x2 Use implicit differentiation method and differentiate…