Find the equation of the tangent and the normal lines to the given curves at the given points. Show your solutions.

Q: Find the equation of the tangent line and the normal line of the curve at given point:

A: Given, The curve y2 = x34-x We have to find equation of the tangent line and normal line to the…

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

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Q: tangent

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Q: If y = Vx2 + ell-x²), the slope of the tangent line to the graph of y at x = 0 is Answer:

A: Slope of tangent = y'

Q: Find equations of the tangent and normal line to the curve x? – xy – 3y2 = -4 at (1,2).

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Q: Determine the slope of the tangent line to the given curve, provided below, at x = 1. * 4 x + 6 y =…

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

A: The objective is to find the equation of the tangent line to the curve at the given point.

Q: Find the tangent line and the normal line to the curve at the given point.          x2y2 = 25,…

A: x2y2 = 25,      and the point (-1,5)

Q: Find the slope of the tangent line for the curve r=3+5cosθ when θ=π/6

A: Concept - If a function f(x) is given then slope of the line tangent to it at x=a is given by -slope…

Q: Find the equations of the tangent and the normal at the point indicated.   a2y = x3 at (a, a).

A: To find the equation of tangent and normal at the given point.

Q: find an equation for the tangent line and the normal line to the curve y = x sqrt x^2+1 for the…

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Q: Find the equation of the normal line to the indicated curve at the given point. y= 3-5x, (2, -37) I

A: Given,  y=3-5x3, (2,-37) Let y=f(x)

Q: Find the equation of the tangent and normal line to the following curves at an indicated points:

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 1. y+x+y=x at ( 6, 3)

A: Given:  y+x+y=x   at  (6,3). We have to find the equation of tangent line and normal line. The…

Q: Find an equation of the tangent Iine to the ollowing curve at the point (0, 5). xe' + ye* = 5

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Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 2? y = 2 + 2ex –…

A: To determine the point on the given curve is the tangent line parallel to the line 3x-y=2.…

Q: find equations for the lines that are tangent,and the lines that are normal, to the curve at the…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the equation of the tangent and normal line at the point indicated. Sketch the curve. у %3 х3 —…

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Q: 1. y = 2x2-5 at ( 2, 3) %3D

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Q: Find the equation of the tangent line and the normal line of the following curves at the given point…

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Q: Determine the slope of the tangent line at t = 2

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Q: Q1) A- Write an equations for the normal lines on the circle tangent at (x= 1) with (r-10),c(0,0),

A: Given Center of circle c0,0radius r=10To calculate : Write an equation for the normal lines on the…

Q: Show that the tangent line to the curve y = x3 at any point (a, a3) meets the curve again at a point…

A: Proof: The given curve is y=x3. Obtain the derivative of the function as follows: dydx=ddxx3…

Q: At what point on the given curve is the tangent line parallel to the line 3x - y = 4? y = 2 + 2ex 3x…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

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

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Q: Find the slope of the curve and equations of the tangent and normal to the curve at the given point.…

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Q: Find the equation of the tangent line and normal line to the curve ? = √? − 3 at (4,1).

A: I hope the curve here is y=x-3. Hope it helps you. Thank you.

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

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Find the equations of the tangent and normal line to the following curve at an indicated points

A: Given that: y=31+x

Q: Find the equation of the curve at every point of which the tangent line has a slope of e^x

A: Topic:- application of integration

Q: Find the equation of the normal line to the curve y=(1+2x)^2 at (2,25)

A: Equation of a normal line to the curve y=f(x) at point x1,y1 is given by y-y1=-1dydx(x1,y1)x-x1.…

Q: y 1

A: (a) The slope for the tangent is given to be 0. This represents that the tangent is parallel to the…

Q: Estimate the slope of the tangent line to each curve at the given point (x, y)

A: To find the slope of the tangent line to each curve at the given point (x, y).

Q: The equation of the line tangent to the curve at (−1,4)is x+y=3. What is the slope of the normal…

A: Product of slopes of two perpendicular lines is -1.

Q: Solve and explain (in written form) the step-by-step process on how to find the equation of the…

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Q: Find an equation of the tangent line to the curve xe' +,ye = 5 at the point (0, 5).

A: Topic:- application of derivatives

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

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Q: Given the curve y 2x-x, find the point(s) when the slope of the tangent line is 20.

A: Given the curve is  y=2x3-x2

Q: || х? + у? — 4х — 21 3D 0, (5, 4)

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Q: 2. What is the slope of the line tangent to the curve 8x³ – y² = 4 at the point (1,-2)?

A: 2.Solution:Given   8x3-y2=4To find the slope at (1,-2)Formula:Slope=m=dydx

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: or the curve x²y²=9 at (1,3) find the equation of normal line

A: Given: x²y²=9

Q: Find the slope of the curve, equations of the tangent and normal lines to the given point. y = x3 –…

A: We have to solve the problem

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. x? + y? -…

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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: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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

A: Given a curve, y=1x and a point P-2,-12 (a) To find the slope of the curve at the given point. (b)…

Q: Find the tangent and normal line to the curve

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

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