A coordinate of the point on the curve of y=2x3−3x−6, where the tangent at the point is perpendicular to 3y+x=−20 is…

Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1).

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Q: Find an equation of the tangent to the curve at the given point by both eliminating the parameter…

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Q: The tangent line to the graph of y = In(2x) is perpendicular to z + 4y = 1 at the point where Select…

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find all values of x where the tangent lines to y = x² and y = x³ are parallel.

A: Slope of both curves are equal

Q: verify that the given point is on the curve and findthe lines that are (a) tangent and (b) normal to…

A: We plug x=√3 and y=2 in the given equation So the point is on the curve

Q: FInd an equation of the line that is tangent to the curve y=e^xcos(x) at the point (0,1).

A: The equation of the curve is y = e^x(cos(x)) and the point is (0, 1). Differentiate the function…

Q: Consider the curve in the xy-plane represented by the two equations below. The slope of the line…

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Q: Find the coordinates of the point on the graph of y = x^2− x + 3 at which the tangent is parallel to…

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Q: Find the equation of the tangent plane to 4 = Z = eª + x + x* + 4 at the point (1, 0, 7).

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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 for x? + x +y² + 2 = 3xy the lines that are tangent and normal to the curve at point (3,2).

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Q: (x2 + y2)2 = 4x2y, (1, 1) Bifolium: 1.4 1.2 (1, 1) 1 0.8 p.6 0.4 0.2

A: Find equation

Q: a) Find an equation of the tangent line: x' +y' + 9xy = 27 at (x, y) = (1, 2)

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Q: Find the slope of the tangent line for the curve r= 2cos 30 at the point where 8 = a) 1 b) - V3 c)-6

A: Given curve r=2cos 3θ Point θ=π6 Differentiate r with respect to θ drdθ=ddθ2 cos 3θdrdθ=-6sinθ We…

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

A: Given: To find an equation of the tangent line to the curvey=x at the given point (1,1)

Q: 1) Given the curve 2x? + y3 = x3 + y? find the x-intercept of the tangent line at the point (2,1)

A: We find dy/dx using the implicit differentiation and we plug x=2 and y=1

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: The equation of the tangent line to the curve at the given point. x2 v2 2-13 = (1, 1) is %3D 100 4…

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Q: Find an equation for the tangent line to the parabola y = x² at the point P(1, 1). A y=2 B) y = x…

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Q: b) Show that the equation of the tangent line to the x², y? Xox at (xo, Yo) is Yo.y + a² ellipse 31.…

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Q: Find an equation of the tangent plane at the given point. f (x, y) = x/√y,  (4, 4)

A: Given : The function is f ( x, y) = xy and point ( 4, 4 ).

Q: 1- Find the equation of the tangent to the 2(x2 + y?)2² = 25(x² . y?) %3D at (3,1)

A: To find the equation of the tangent

Q: Find the equation of the tangent line to x? – y + y? = 21 at the point (1,5).

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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: Find the equation of the tangent line at the given point on the curve. 2x2 + 2y? 29y-y e 58x/5, .2…

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Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are…

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Q: Given the function z = = f(x,y) = 2y³ -5xy-3x²+2, find the equation of the tangent plane at (1,-1),…

A: Given problem:- Given the function z  = f(x, y) = 2y³ −5xy-3x²+2, find the equation of the tangent…

Q: The tangent line to the graph of y = In(2x) is perpendicular to x + 4y = 1 at the point where…

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

A: Given: x3+y3-6xy=0,     43,83

Q: Find the slope of the tangent line to the graph of yx = xy at each of the following points.    (i)…

A: The given equation is, yx=xy   Take natural log on both sides. lnyx=lnxyxlny=ylnx   Differentiate…

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

A: Giveny=x3−3x2+4,P2,0

Q: Find an equation of the tangent line to the curve y? = x3 + 3x? at thu point (1, 2). 2у + 3x 3 3 3x…

A: We have to find the equation of tangent line.

Q: Find the value of c such that line y=3/2x+6 is tangent to the curve y=cx1/2.

A: Given,  line y=3/2x+6 is tangent to the curve y=cx1/2.

Q: 1. For y=In2x, determine the equation of a tangent line parallel to 2x-3y+1=0.

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Q: find the equation of the line TANGENT of the given curve for x=pi/6 y=5cos(2x)

A: Explanation of the answer is as follows

Q: Which of the following is/are points on the curve y = x4- 8x3 + 22x2 - 24x + 9 where the tangent…

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Q: 2. Find for x? +x+ y? +2 3xy the lines that are tangent and normal to the curve at point (3,2).

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Q: The tangent line to the graph of y = In(x² – 1) is perpendicular to the line a + y = -1 at the point…

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Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: a) find the slope of curve at point P(1,-3).Find the derivative of the following function.

Q: Find the equations of the tangent lines in both the x-direction & the y-direction to the function z…

A: We need to find equation of tangent line.

Q: In x Find the equations of the tangent lines to the curve y = at the points (a) (1,0) and (b) (e,…

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Q: For what value of c is the curve y = c/(x + 1)tangent to the line through the points (0, 3) and (5,…

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 - 6xy = 0, (4/3, 8/3)…

A: We have to find slope

Q: Find y' and the slope of the tangent line to the graph of (3x - 4y)7 = 2y2-7 at the point (3,2).…

A: The slope of equation is defined in terms of m=dy/dx

Q: Find the slope and y-intercept of the tangent line, in the form y = mx + b, to the curve at the…

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Q: Find an equation of the tangent plane at the given point. z = In(x-2y), (3,1,0)

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Q: What is the slope of the tangent line that touches the graph of In(y) +e2-1=3y – 4x at the point 3 A…

A: We have to choose the correct answer from the given information according to the given information

Q: The curve y = ax? + bx +c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: Explanation of the answer is as follows

Q: Find the tangent plane to the equation z = 5a° + æy? + 2 at the point (2, – 4, - 6)

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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.