What are the values of m and c if the equation of the tangent line is given by y = mx+ c?

Q: Find the equation of the tangent line at the given point on each curve. :x2 + y2 = 100; (8, -6)

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 – x2 + 2, (2, 22) y =

A: Given curve and points are: y=3x3-x2+2  , 2,22

Q: write an equation for the tangent line at the given point x +y = 4, (/2, V2)

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Q: Find the slope and equation of the tangent line for the equation 5.x'y – 6y° = 7x² – 35 at (1,2).

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Q: What is the equation of the tangent line to the curve at the point (1, 2) The equation of the curve…

A: The given curve y3-xy2=4 at the point (1,2)

Q: Find an equation of the tangent line to the curve at the given point.y=8x-6x^(2), P(4,-8)

A: y=8x-6x^(2), P(4,-8)Let the equation of the tangent: y=mx+cSlope of the tangent =m =  dy/dx.

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: y = x^2+ 1, find an equation of the tangent line to the graph of y at x = 3.

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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: B. Find the slope and the equation of the tangent line to the curve 1. y = 4 - 3x at (- 1, 1) 2. y…

A: We need to find the slope and the equation of the tangent line tothe following curve:3. y=3x2+2 at…

Q: Find the slope of the tangent line for: y = 2x? – 4x

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Q: Find an equation of the tangent line at the given point. (x + 2)2 − 6(2y + 3)2 = 3, (1,−1)

A: Consider (x + 2)2 − 6(2y + 3)2 = 3, (1,−1)

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

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

A: To find the tangent at the given point on the curve, using derivatives

Q: write an equation for the tangent line at the given point x² + y² = 4, (/2,/2)

A: Given: An equation x2+y2=4 and point 2,2 Firstly, find the gradient of x2+y2=4 by the formula…

Q: Write the equation of the tangent line to the curve = 2 at the point (1,1). .3

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

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Q: How do you find the equation of the tangent line of xy = 36?

A: We have to discuss How do we find the equation of the tangent line of xy = 36.

Q: Find the slope to the tangent line ye^x+xlny=1  @ (0,1)

A: Given:y ex+x lny=1Slope:dydx=f'x=m

Q: The equation of this tangent line can be written in the form y = mæ + b where: m is: b is:

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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 the equation of the tangent line to the curve at the given point. y = 4x^2-x^3, (1,3)

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Q: What is the equation of the tangent line to the curve y = x^ + 2x? −x+8 +2x2 where x = 1? y = 7x - 3…

A: Let's find equation of tangent line.

Q: Find the exact value of the slope of the tangent line to the graph of −2x2−3xy+3y3=13at the point…

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Q: what is the equation of the tangent line to the graph of xsin(xy) = (√2)/2 at the point (1, pi/4)

A: iven:xsin(xy)=12

Q: Find an equation of the tangent line to the curve at the given point. y = 2ex + x, (0, 2) y 11

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Q: Find the equation of the tangent line at the given point on each curve. x2 + y2 = 25; (-3, 4)

A: Find the equation of the tangent line at the given point on each curve. x2+y2=25  ;   (-3,4)

Q: Find the equation of the tangent line at the given point on the curve. 327x 3x² + 3y² , 109y 2 10…

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where, m is the…

Q: The slope of the tangent line at any point (x,y) on a curve is 3Vx. If the point (9,4) is on the…

A: This question is based on slope of a curve wich is given as  dy/dx

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

A: As asked we can answer the question with out all explanation in the following steps

Q: What is the equation of the tangent line to y=(−5x−8)e^−x at x=0? Write the equation of the tangent…

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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: Find an equation of the tangent line to the curve at the given point. y =√(4-77x) ,  (−1, 9)

A: We have to find tangent

Q: Find an equation of the tangent line to the curve at the given point. 5x y = x + 3' (2, 2) y =

A: Given curve, y=5xx+3 we have to find the equation of tangent line to the given curve at point (2,2).…

Q: Find the equation of the tangent line at the given point 1 ·y =- X - 3 ; (0, -३) 3*

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Q: Find the equation of the tangent line to y = 20-5æ+3 at x = 4. y =

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Q: Find the equation of the tangent line to the curve y = x2 – 5 if the tangent line is parallel to the…

A: y – y1 = m (x – x1), where m is the slope and (x1, y1) is the coordinate points of the line.

Q: Find an equation of the tangent line to the curve at the given point. y = 2x2 - 6x + 1, (4, 9) y =

A: First find slope at given value then equation of tangent line

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

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Q: Find the equation of the tangent line to y = 2**-3*+1 at x = 4. y =

A: Given: y=2x2-5x+1 To find: The equation of the tangent line to y=2x2-5x+1 at x=4

Q: Find the equations of the tangent lines of the curve y = that have slope 1+ 2r

A: Given data:   The expression for the curev is: y=2x1+2x. The given slope of the curve is: m=2/9.…

Q: Find the exact value of the slope of the tangent line to the graph of −3x2+xy+4y3=102at the point…

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Q: Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent line.

A: Solution :   Given that                      y=x3+x   and The slope is equal to 4 i.e m= dydx=4

Q: Find an equation of the tangent line to the curve at the given point. у %3 бех + х, (0, 6)

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Q: Determine the equation of the tangent line to the graph of y = y2 – x² at the points (분 ) and (블, )

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Q: What is the value of the slope of the tangent line to the curve y = 2x² + x – 3 at the point (–1,…

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Q: 2) Find the slope and the equation of the tangent line to a curve: y = 3x? - 4x + 1 at x = 2.

A: The given curve is y=3x2-4x+1, we have to find slope and the equation of tangent line to the curve…

Q: Find an equation of the tangent line at the given point.

A: We find dy/dx at (2,4)