Suppose the tangent line to the curve  y= f(x) at the point (2,5)has the equation y= 9-2x. If Newton’s method isused to locate a root of the equation f(x)  =0 and the initialapproximation is x1=2 , find the second approximation x2  .

Q: Suppose the tangent line to the curve y = f(x) at the point (2, 1) has the equation y = 5 −…

A: Suppose the tangent line to the curve  y = f(x)  at the point  (2, 1)  has the equation  y = 5 −…

Q: 7. Find the equation of the tangent line to the graph of the function 4xy + 5 In y = 28 at the point…

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Q: Find the equation of the tangent line to y = 2"-5a -5x+1 = 4. at x = y = 12 In 2 - 1

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Q: Find the equation of the tangent line to the curve t(x) 16 4Vx at x = 4 O y=-2x-4 O y=-2x+4 O y=2x+4…

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Q: #17 Find the equation of the tangent lines LiĦ to y=fCX)= r at x=0 and x=-1 7-3X 2

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Q: 2. Find a point on the curve y = e 3x , at which the tangent line passes through the origin.

A: Solution: The objective is to find the point on the curve y=e3x at which the tangent line passes…

Q: Find the equation of the tangent line to f (x) = ex at x = 2. Give answer in exact form. x²-1

A: Given : fx=exx2-1

Q: Find an equation of the tangent line to the curve y = In(x² – 4x + 1) at x = 4.

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Q: Find the equation of the tangent line at the given point on the curve. 3y² - Vx = 44, (16,4)

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x² – 6x + 1), (6, 0) y…

A: As per guidelines we have to solve one question Please repost other questions again

Q: Find an equation of the tangent line to the given curve at the specified point. x2 - 1 y = x2 + x +…

A: Note:Equation of tangent passing through a point (x1, y1) at on a curve f(x) is given by(y-y1) =…

Q: B) Find an equation of the tangent line to the curve at the given point y = (1+ Vx)³ at x =1 ?

A: Given curve is, y=(1+x3 )3 at x=1.  The objective is to find the equation of the tangent.     For…

Q: Find an equation of the tangent line to the curve y = (4x + 2)e at the point a = 0.

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Q: Find an equation of the tangent line to the given curve at the specified point. x² - 1 y = (1, 0) "…

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Q: Find an equation for the tangent line to the graph of y – 3xy + x2 +1 = 0 at the point (2, 1).

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Q: Suppose the tangent line to the curve y = f(x) at the point (1, 1) has the equation y = 5 - 4x. If…

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 2x + 1), (2, 0)

A: NOTE: Refresh your page if you can't see any equations. .   take derivative

Q: Find the equation of the tangent line to f(x)=−2x−4x^−1/2+3 at the point (4,−7).

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 7x + 1), (7,0) y =

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Q: Find the slope of the tangent line to the given curve at t3D1. Sx=7-4

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Q: Suppose the line y = 2x − 1 is tangent to the curve y = f(x) when x = 4. If Newton's method is…

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

A: Given: y=2x+1x+2, 1,1 for finding equation of tangent, we need to find slope of tangent  we know…

Q: Find an equation of the tangent line to the curve at the given point. 2x (0, 0) (x + 1)2'

A: The given curve y=2xx+12, at the point 0,0

Q: Suppose the line y=7x−6 is tangent to the curve y=f(x) when x=3. If Newton's method is used to…

A:

Q: Find the equation of the tangent line to y = 2r5 - 3x³ at the point where x = 0.7, with coefficients…

A: Methods to find the equation of the tangent at a point helps to find the required answer to the…

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

A: Given curve is y=x. To find equation of tangent line at point 1,1. Differentiating the given curve…

Q: Suppose the line y = 4x − 7 is tangent to the curve y = f(x) when x = 3.        If Newton's method…

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Q: Find the equation of the tangent line on the curve f(x) = V5x + 6 at x = 2.

A: Proceed as shown below...

Q: Suppose the tangent line to the curve y = f(x) at the point (1, 1) has the equation y = 9 - 8x. If…

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Q: 2x2 y = Зх — 1

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Q: Find the slope of the tangent line to the given curve at the indicated point by using the two-step…

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Q: Suppose the line y = 8x − 4 is tangent to the curve y = f(x) when x = 1. If Newton's method is used…

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

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

Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

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Q: Find the equation of the tangent line at the given point. 4x = -5xy + 4y at (1,–4) y = arccos(5x) at…

A: See the calculation below

Q: Suppose the line y = 6x - 4 is tangent to the curve y = f(x) when x= 2. If Newton's method is used…

A: According to Newton's method, if the first root is considered to be x1 then the root of the function…

Q: Suppose the line y = 7x − 7 is tangent to the curve y = f(x) when x = 3. If Newton's method is used…

A: Introduction: A tangent is a straight line that touches the curve at exactly one point. The point is…

Q: Find the equation of the curve at every point in which the tangent line has a slope of z2, which…

A: Given slope of the tangent line has a slope of x2. To find equation of curve having slope of tangent…

Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: Find an equation for the tangent line of e + 2xy = 2x – 1 at (1,0).

A: Topic- application of derivatives

Q: Find the equation of the tangent line to the curve 2y³ – xy² + cos (xy) = 3 at the point ( 0,1) .

A: Given curve is:  2y3-xy2+cos(xy) = 3 For slope of the tangent, differentiate the curve equation

Q: Find the equation of the tangent line at the given point on the curve. x3 + 2xy – y2 = 11 at (2,3)

A: We need to find the equation of the tangent line at the given point on the curve. We have x3+2xy-y2…

Q: Find the equation of the tangent line at the point (1,0) to the curve implicitly defined by In(x +…

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Q: Find the equation of the tangent line to the curve g(x) = 4x² – 3x + 2 at the point (1, 3).

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

Q: Suppose the line y= 7x - 1 is tangent to the curve y= f(x) when x = -8. If Newton's method is used…

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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 an equation of the tangent line to the curve at the given point. y = In(x² - 3xt 1), (3, 0) y…

A:

Q: Suppose the tangent line to the curve y = f(x) at the point (7,9) has the equation y = -3x + 30. If…

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Q: Suppose the tangent line to the curve y = f (x) at the point (-4, 3) has the equation: y = 2 x + 11.…

A: x1=-4f(x1)=f-4=3f'(x1)=2  (slope of f(x) at x1=-4=slope of tangent )

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: