Suppose the tangent line to the curve y = f(x) at the point (2,4) has the equation y = 4x - 4. If Newton's method is used to locate a root of the equation f(x) = 0 and the initial %3D approximation is 1 = 2, find the second approximation r2. Enter your answer as an integer or a decimal rounded to four decimal places if it has not terminated by then.

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: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

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

A: Equation of the line to the curve at the given point is shown below.

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

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Q: Find the equation of the tangent line to the curve y = x Vx +5 at the point (2,6).

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Q: The equation of the tangent line to the curve at the given point. x² + y2 +3 = (2x+2y + 9x)2, (0, 1)…

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Q: Find the equation of the tangent line to the curve point (1,0). f(x) = x – e²²-1 at the

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Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the…

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Q: Find equation of the tangent line to the curve y = v2x + 1 at the point (4,3).

A: Given:    y = √(2x+1)  Point (4,3)

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

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: 5. Find the equation of the tangent line on x² + y? = (2x² + 2y² – x)² at (0, ).

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

A: Given informationGiven curve and point as

Q: Find an equation of the tangent line to the curve at thegiven point  y = ln ( x 2- 3x + 1 )       ,…

A: Given,y = ln (x2-3x+1)slope of tangent line is equal to the first derivative of curve at given point

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 given curve at the specified point. x² - 1 y = (1, 0) "…

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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 thegiven point.   y = e2x  Cosπ   x, (0. 1)

A: Given: y=e2xcosπx at 0,1 for finding equation of tangent at given we need slope m of tangent at that…

Q: 11. Find the equation of the tangent line at (2, 1) given In y = 4y² – x³ +4

A: 11. The equation of the curve is given by lny = 4y2-x3+4 To evaluate : The equation of the tangent…

Q: Consider the following curve. 1 + x y = 4 + ex Find y'(x). -ex + 4 (4+ e*)² y'(x) = ot2 1 Find an…

A: According to the problem, we have

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: 7. Find an equation of the tangent line to the curve y = 1 y = 1+3r IVI that is parallel to

A: The objective is to find the equation of tangent line.

Q: Find the equation of the tangent line to the curve x4+y4=2 at the point (1,1)

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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 the equation of the tangent line to the curve y = 2 In (22 at the point (1, 2) . (Hint:…

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Q: Find the equation of the tangent line at the point (1,−3) to the curve defined implicitly below. x3…

A: The line is tangent to the given hyperbola at (1,-3).Tangent line is a straight line.Therefore, the…

Q: 3. Find the equation of tangent line to the curve 2x – y + 3 = 0 x = t – 1, y = t³ + 1 parallel to…

A: Equation of tangent line is given by- y - y1  = m (x - x1)

Q: Find the equation of the curve which passes through (1,8) and at any point (x.y) on th curve the…

A: To find: Equation of curve which passes through (1,8) and at point (x,y) the tangent line has slope=…

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…

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Q: Find the equation of the tangent line at the given value of x on the curve. y+xy² -22=Dx+5y; x= 5

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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 to the curve tan(x – 1+ 2y) = e + 3x – 4 at the - point (1,0).

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Q: Find an equation of the tangent line to the given curve at the specified point.(1,0) y =x2-1/x2+x+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 = 9 - 8x. If…

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 8x + 1), (8, 0)

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Q: Find the equation of the two lines that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3 = 0 at…

A: Given

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: 4. Find the equation of the tangent line to the curve 2xy+r sin y = 27 at the point (1.%).

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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: 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 tangent line to the curve  y= f(x) at the point (2,5)has the equation y= 9-2x. If…

A: Given: The equation of the tangent line to the curve y= f(x) at the point (2,5) is y= 9-2x. Newton’s…

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: 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: 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: 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 )