Find the equation of the tangent and normal line using the stipulated conditions   1.) y = x2 - 5x with its point of intersection to the line y = 6

Q: Find the condition that the line ax+by=1 may be a normal to the curve an-1y=xn

A: To find the condition of line ax + by = 1 which is normal to the curve a^(n-1) y = x^n

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Q: Find the slope of the curve, equations of the tangent and normal lines to the given point. 8x y at…

A: Solution

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: Show that the point (2, 4) lies on the curve x3 + y3 - 9xy = 0. Then find the tangent line and…

A: Given: f(x, y) = x3 + y3 - 9xy = 0 To find:  Equation of tangent and normal to the curve at point…

Q: Find the slope of the tangent line to the curve - 3æ² ³ = - 199 3x? + lœy+ 3y at the point (1, – 4).

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Q: Pls help ASAP

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Q: 3. Find the points where tangent lines are vertical or horizontal: x³ + y³ = 6xy

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A: Given f(x)=3x2-5x+7, x=2, x=4

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Q: If the slope of the tangent line to the curve at the point (– 1, 2) is 4, find a. y=ax^2+3

A: The given curve is y=ax2+3. First derivative of y=ax2+3 is dydx=2ax. At -1, 2, dydx=2a-1=-2a Thus,…

Q: Find equations of the tangent line and normal line to the curve at the given point. (1, 0.25) y=…

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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 THE EQUATION OF THE TANGENT AND THE NORMAL TO THE CURYE Y =5X' AT THE POINT (1. 5).

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Q: The slope of a tangent line at (1, 4) is 2. What is the equation of the line? Select the correct…

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Q: Find the equation of the tangent line to the curve at the given point. y = /2x + 1, (4, 3) y =

A: See the attachment

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

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Q: [10] At what point on the curve y = e*is the tangent line parallel to the line y = 2x? Give answer…

A: Given curve y=ex   and line y=2x

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

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

A: Given Data The equation is:  The point is: (-2,1)   Substitute the point (-2, 1) in the given…

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. 4x? + 9x?…

A: The given equation,     4x2+9x2=25, 2,-1

Q: Find equations of the tangent line and normal line tothe curve at the given point. y= 6Cosx  (π/3,…

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Q: Find the values of x where y = x 3 and y = x 2 + 5x have parallel tangent lines.

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Q: a, given that the line ax+y+1 = 0 is tangent to the grapl

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Q: At what point is the tangent line to the curve y = 2x perpendicular to the line x – - 2y – 8 = 0? -…

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

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Q: Find the equations of the tangent and the normal at the point (2,2) at x² – 2xy + y² +2x + y - 6 = 0

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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: x4 C: y=-+ 3 x3 17 4 12

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Q: Find an equation of the normal line to y = x2 at the point (2, 4). (The normal line at a point is…

A: y=x2 Differentiating with respect to x, we get dydx=2x Now slope of the tangent line at 2, 4 is,…

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: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the…

A: The objective of the question is determine the equation of the tangent line.

Q: Find the point(s) on the curve of y = 3x^4 − 4x^3 where the tangent line is parallel to the line…

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Q: Find equations of the tangent lines to the curve at the given point: f(x, y) = 4x2+y? 2

A: Given:      fx,y=4x2+y2 at 32,1          4x2+y2=0            y2=-4x2 differentiating on both sides…

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

A: Now when x = 3, we get Therefore the point (3, -4) is on the given curve. a). Slope of the tangent…

Q: Find equations of the tangent line and normal line to the curve at the given point. y = x* + 9e*,…

A: The given equation of the curve is: y=x4+9ex.   We have to find  the equation of the tangent line…

Q: Find the equations of the tangent and normal lines to the graph of  (x^2 + y^2)^3 = 8x^2y^2 at…

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

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Q: Find the equation of the tangent and normal line using the stipulated conditions   2.) x2 + 2y2 =…

A: The equation of tangent line is x2+2y2=9⇒x29+y292=1we have a=3 and b=92Since, we know that the…

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 all values of x where tangent lines to y=x^5 and y=x^6 are parallel.

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Q: Find the equations of the tangent line and normal line to the curve y = (2 + x)e¬* at the given…

A: We will find out the required solution.

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

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