TION WORKSHEET 6 n 3: Find the points on the curve X+ Sinx y= at which the tangent is hotizontal.

Q: Find an equation for the tangent line to the level curve 3x2y – sin y + 2x = 2 at the point (1,0).…

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Q: Use a tangent plane at (-3,4) to approximate the value of the following function at the point (–…

A: As per Bartleby's answering policy, we can answer only one question, so here we have solved the…

Q: Make the curve y=ax*+bx³+ cx²+ dx+e pass through the points (0,3) and (-2,7) and at (1,4) have a…

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Q: Determine the slope of the tangent line to the curve of sin(x + y) = y2cos(x)  at  the point (x,y) =…

A: Topic = Derivative

Q: Find the equation of the tangent line to the curve y= (1+2x)2 at the point (2, 25). y = %3D

A: This question is based on application of Derivative.

Q: 4. Suppose the point is on the curve sinx Siny - c, where C is a constant. Use =C, 3'4 the tangent…

A: To find the tangent line approcimation on the following curve

Q: Find the points on the curve y = 2x3 + 3x2 12x + 2 where the tangent line is horizontal. (х, у) %3D…

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Q: Find an equation of tangent line at the point (−1, 1) to the curve x^4y^2 + 1 = x^2 + y^3

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: tangents are drawn from the origin to the curve y=sin x.Prove that their points of contact lie on…

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Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at 4'2

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Q: I Find tee e avation of tangent line of fcx) = X+) at X=2 X-3

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Q: Tangents are drawn from the origin to the curbe y=sin x.Prove that their points of contact lie on…

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Q: Tangents are drawn from the origin to the curbe y = sin x.Prove that their points of contact lie on…

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Q: Estimate the slope of the tangent line to y=x^2 at the point (1,1). Verify your answer analytically.…

A: Since multiple questions are asked, we will solve the question that the graph attached is related…

Q: Qeustion 1 Use implicit differentiation to find the equation of the tangent line to the cardioid…

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Q: For the curve 3e arcsin (y) + 2 (x² + y²) = 2, find the slope of the tangent line at the point…

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Q: Fine the equation of the tangent line to the curve at the point (0, 4) 4+6y = sin(xy^2) + y

A: Given,          The equation of the tangent line to the curve at the point 0,4…

Q: 2. Find the equation of tangent and normal for the curve xsin2y = ycos2x at

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Q: Find the points on the curve y = x + 3x2 9x + 1 where the tangent is horizontal. %3D smaller x-value…

A: The given function is y=x3+3x2-9x+1

Q: Estimate the slope of the tangent line of the function y(t) = V41 + I at the point t = 1. (Use…

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Q: find the x-coordinates of the point on the curve y=2x^3-3x^2-36x-1 where the tangent is horizontal.…

A: For finding tangent is horizontal take slope 0

Q: Find an equation of the tangent line to the curve y=5^x at the point (1,5) . Tangent line y =

A: We will find the equation of the tangent line to the curve y=5^x at point (1,5) in the following…

Q: Determine the equations of the tangent and normal to the curve y=2xex at (0,0)

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Q: Find the equation of tangent line of function ²+ arctan y = y-1 at point(-t, 1).

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Q: 16. Determine the horizontal tangents on the curve y = 2x'-18x.

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Q: Find the slope of the tangent line to the curve y = arctan(13x +e) at the point (0, 7/2).

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Q: uation of the tangent line to ƒ at x = 1.

A: Given that: The equation is f(x) = x2+3x .

Q: What is the slope of the tangent line to the curve y=x* at x=2.9 (use 3 decimal places, no space)

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Q: Determine the point(s) where the tangent to the curve is horizontal: y = (x2 + 2x + 1)(x2 + 2x + 1)

A: Given problem:- Determine the point(s) where the tangent to the curve is horizontal:   y = (x2 + 2x…

Q: Find an equation of the tangent line to the curve y = 2x sinx at the point (π/2,π)…

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Q: 2. Determine the points on the curve f(x) = sinx-cosx, 0≤x≤27 where the tangent line is horizontal.

A: Find out the points where the tangent line is horizontal.

Q: What are the cordinates of the point on the curve /(x)= -2x where the tangent is horizontal?

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Q: Determine an equation of the tangent line to the curve y = (3x)(sinx) at x =

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Q: Find the equation of the tangent line to the curve 2 2 1= V sinx+x² at the point %3D (IT,"),

A: SOLUTION-

Q: 9. Find the equation of tangent and normal for the curve xsin2y = ycos2x at A

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Q: find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)

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Q: Find an equation for the tangent line to the curve + xy - y = 1 at the point (2, 3). %3D

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Q: Find an equation for the tangent line to the curve y = 2/x at the point (2, 1) on this curve.

A: Given, Equation of curve : y=2x      (i) Common point = (2,1)

Q: 4. Find the equation of the tangent line to the curve at the specified value of the parameter: x =…

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Q: Find all​ x-coordinates of points​ (x,y) on the curve y=(x−2)4(x−5)-3 where the tangent line is…

A: Given,          y=x-24x-5-3 where the tangent line is horizontal.

Q: (a) Find the equation of the tangent line to the curvey 2 sec x – 4 cos x at the point (÷, 2)

A: Tangent line to the curve y=f(x), where f(x) is a function of x at point x0, y0is given by:…

Q: A) Determine the equation of the tangent line to the curve xsin(y) – x²cos(y) = 1 at the point (1,4)

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Q: Please use product and chain rule and label all parts Find an equation for the tangent line to the…

A: Given query is to find the equation of the tangent for the givem curve

Q: 6. Find the equation of tangent and normal for the curve xsin2y = ycos2x at

A: Given that: x.sin2y=ycos2x