Find the tangent line and the normal line to the curve at the given point. x2y2 = 25, (-1,5) %3D The tangent line to the curve x2y² = 25 at (-1,5) is y=

Q: 7. For the curve y = x2 + x, at what point does the normal line at (0,0) intersect the tangent line…

A: Find the slope of the tangent at (0,0): m=dydx=2x+1=20+1=1

Q: 3n If the normal to the curve y = f(x) at the point (3,4) makes an angle with the positive x-axis, 4…

A: (a) Normal to the curve y=fx at the point 3,4 makes an angle 3π4 with the positive x-axis then we…

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: " Since you have posted a multiple questions, we will solve first question for you. To get remaining…

Q: Зх-1 2. At what points on the graph y = is the slope of the normal line equal to -5? Give the…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

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Q: at x = 2 2. Find the equation of the normal line to y

A: The solution of the problem is given in the next steps.

Q: b) Find the equation of the normal line to the curve y = 1 – x³ at x = -1. Sketch the graph.

A: given:  y=1-x3           1 Differentiating (1) wrt x dydx=-3x2 At x=-1, dydx=-3 Also, At x=-1, from…

Q: 04) Find the equation of the normal to the curve ly'+ x(1+y)-4] at point (2,1).

A: We need to find the equation of normal to the given curve at the point (2,1).

Q: Find the equation of the normal to the curve of y = tan at x = 3.

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Q: Identify the equation of the normal to the tangent line at the point (3,3) for the equation xy-9=D0…

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Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: Find the equation of the tangent and normal to the given curve at the given point. 1. 2x +3y 5 at…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

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

Q: Find the equation of the tangent line and the normal line at the p corresponding to the given value…

A: Let's find equation of tangent line and normal line.

Q: a) Find the equation of the tangent line to f at (3, 27/13). y = b) Find the equation of the normal…

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Q: 4. What is the equation of the normal line to the curve 4x2 – 9y2 = 1 at point (3,2) ? a. y =x- 4 5.…

A: Slope of the Normal Line to the graph of f(x) is  -1f'(x). Equation of the line : y-y1=mx-x1 where,…

Q: Consider the following. y = x6/5, (1, 1) Find an equation of the tangent line. y = Find an equation…

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Q: |Let g(s) = e°(s4 + 6). a) Find the equation of the tangent line to g at (0, 6). y = b) Find the…

A: Differentiate at given value and then use formula of tangent and normal line

Q: Find the equation of the normal to the curve y = x?e4* at the point x

A: We have to find Normal to the given curve.

Q: 11. At what point(s) of the curve xy = (1 – x – y)? is the tangent line parallel to the x-axis? Give…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: When a straight line touches the curve exactly at one point, the line is referred to as the tangent…

Q: Consider the following. y = x675, (1, 1) Find an equation of the tangent line. y = Find an equation…

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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: 3. Find the slope of the tangent line to x? = (y² + 1)(x + y) at (0,0).

A: As we know that: The slope of the tangent line to the given curve is equal to the derivative of the…

Q: What is the equation of the normal line to the curve y = cos æ at the point (6,0) ... A y = -x +; 2…

A: Given:- y = cos(x)  To find:- Equation of normal line on given curve at point (π/2 , 0)

Q: Consider the following equation. y = x4 + 9e* Find y'(x). y'(x) = Find equations of the tangent line…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.

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Q: Given that f (x) = Vx2 +1 Determine the equation of the tangent at x = 1. Determine the equation of…

A: The given curve is: f(x)=xx2+1

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

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Q: What is the slope of the normal ine to the curve y=In(xª+1) at x=1, -2 -1/2 1/2 D) 2

A: Product of slope of the tangent and normal line is -1.

Q: y = x3 – 3x2 – 9x + 5 at x = 1

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the slope of the tangent line to the given curve at t=3. Sx=²-7 The slope is

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Q: Let g(s) = e* (s³ + 4). a) Find the equation of the tangent line to g at (0, 4). Y = b) Find the…

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

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Q: n) Find the equation of the tangent line to the curve y = (1 + x*) at the point | 1, %3D

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Q: Q#01 Find the slope, Equation of tangent and Equation of Normal to the curve 6x2 + 3xy + 2y2 + 17y -…

A: Given: 6x2+3xy+2y2+17y-6=0 we know that slopem at point1,0 is given by m=dydx|1,0 so, finding…

Q: find the equation of the Tangent and normal line of the function y3 +3xy + x4 =5 at the point (1,1).

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Q: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

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Q: 1. Find the equation of the tangent line and normal line to the given curve at the specified point.…

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Q: 89. Find the equation of tangent and normal to the graph of y = at x = 2.

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Q: 5. What is the slope of the tangent line to the curvex²e-2x - y = 0 at the point (-1, e2²)?a. a. 4…

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Q: || х? + у? — 4х — 21 3D 0, (5, 4)

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Q: Find the tangent line and the normal line to the curve at the given point. x²y? = 36, (-1,6)

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Q: d) Detdrmine the equation of the normal line to the graph of the function y + x²y = x sin(y²) + ye"*…

A: Let us consider the curve f(x,y)=g(x,y) To determine the normal line of the curve at P  Find the…

Q: .Determine the equation of the normal to the tangent line at the point (2,1) for the function…

A: Given : x2+4xy+y2 = 13

Q: Q-2- Find the equation of the tangent line. and the normal line fer the fallowing function X = Qa…

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Q: Q4) Find the equation of the normal to the curve [y+x(1+y)-4] at point (2,1).

A: Given equation is y2+x1+y-4=0 and we have to find the equation of normal to the…