Line tangent to an implicitly defined curve. Find the equation of the line tangent to the graph of æ*y – xy³ = -138 at the point (3, –2).

Q: Find an equation of the tangent to the curve at the given point. x = 4 + t2 − t,    y = t2 + 4,…

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Q: [CLO-2] Find the equation of the tangent line to the given curve at the specified point. xy2 - x²y =…

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Q: Find an equation of the tangent line to the graph of y = 6x at the origin and at the point (- 1, -…

A: To find the tangent line to the curve y=6xx2+1 at origin and at (-1,-3).

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: Find the equation of the tangent line to the curve y = at 1+7e What is the equation of the line…

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Q: Find the equation(s) of the tangent line(s) to the graph of the curve y = x - 11x through the point…

A: We have to find the equation of tangent line

Q: 3(x2 + y2)2 = 100(x² – y2), (4, -2) y = Lemniscate y -4 -2 /6 (4, -2) -4 -6 2. 2.

A: This is related to equation of tangent to a curve

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: Find the equation of the tangent line to the curve y=2tan(x) at the point (π/4,2). The equation of…

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Q: Find an equation of the tangent to the curve at the given point. x = 6 + t2 − t,    y = t2 + 7,…

A: x=6+t2-tdxdt=2t-1 y=t2+7dydt=2t dydx=dydtdxdt=2t2t-1

Q: Find an equation of the line tangent to the given curve at x =a. Use a graphing utility to graph the…

A: Given equation of curve is y=9+2x+4xex Now value of y at x=0 y(0)=9 We have to find tangent line at…

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: Find an equation of the line tangent to the given curve at x=a. Use a graphing utility to graph the…

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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: Find the equation of the line tangent to the given curve at x= a. Use a graphing utility to graph…

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Q: Consider the following curve. y = V8 - 17x Find the slope m of the tangent line at the point (-1,…

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Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

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Q: S ize Find an equation of the line tangent to the curve defined by x + 5xy + y² = 7 at the point (1,…

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Q: Find the equation of the tangent line to the curve y = 3x at the point (1, 3). The equation of the…

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

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: 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: Find an equation of the tangent line to the curve 2(a² + s7)° = 25(m² – y) (a lemniscate) at the…

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Q: The point P(0.2, 10) lies on the curve y = 2/x. find the slope of the tangent line to the curve at…

A: Using derivative,

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: GivenParametric eqautionx=t-ty, y=g+t2, t=1To findEquation of tangent at t=1

Q: Find the equation of the tangent line to the curve y=3xcosx at the point (π,−3π)(π,−3π). The…

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

A: the slope of the curve is the derivative of the function at that point.' here we have to form a…

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: The point (1,3) is on the graph of x* . y? + 5 · y = x* + 23. Find the slope of the line tangent to…

A: Please follow the next step.

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: Ql: Find an equation for the tangent to the curve at the given point. 1.y=2vx (1,2) 2.y = (x - 1)2 +…

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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: 2 at the point P(-1,1) 1-x Find the slope of the tangent to y= Answer:

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Q: Find the equation of the tangent line to the curve y = ( at the point (1, 0) at the point (e, 8/e) y…

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Q: (a) Find y'. (b) Verify that the point (0, 1) is on the graph of the equation. (c) Find the slope of…

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Q: a) Find the slope and the equation of the tangent line to the curve y = x2 + 1 at x=0. Sketch the…

A: Given the equation of the curve y= x2+1            .......(1) We have to find the slope and equation…

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: y=x^2+5  Determine at which point, (x,y), in which the graph has a horizontal tangent line.

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

A: Given: y=x, (81, 9)

Q: Find an equation of the tangent line to the curve 2(z² + )? = 25(z² - y) (a lemniscate) at the point…

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

A: Given that 2x2+y22=25x2-y2To find : equation of tangent line at point 3,1Solution…

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 y' if x³+y³ = 6xy . Find the tangent to the folium of Descartes x³ + y³ = 6xy at the point…

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Q: Find an equation of the tangent to the curve at the given point. x = 5 + t2 − t,    y = t2 + 4,…

A: Consider the given functions: x=5+t2-ty=t2+4 Formula for equation of tangent line is given by:…

Q: 2(x2+y2)2=25(x2-y2) Find the slope of the tangent line to the curve at each of the points. Make…

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Q: Find an equation of the tangent line to the graph of y = e-x² at the point (5, y = 10e -25 + 51 Need…

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

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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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