Find the equation of the tangent line to the function f(x) = 8/x - 2 at the point (64, 62). Provide your answer in slope- intercept form of a linear equation, y = mx b, where m is the slope and b is the y-intercept. Express m and b as exact numbers

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A: We are given a curve and we need to find out the slope to the tangent line at the point (1,-4). For…

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A: Topic:- application of derivatives

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A: Our Aim is to find the slope of the tangent line to the graph y=x3-3x -(i)at the point (x1,y1),

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Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

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Q: Find the slope of the tangent line to the curve 2.2 2xy - 3y = 89 at the point (1, 3).

A: Given curve,

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A: Given query is to find the equation of the tangent line at (1,2).

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Q: Find the slope of the tangent line to the curve 4.x + ry - 4y = 72 at the point (-4, - 1).

A: Given that: Curve is :   4x2+xy-4y3=72 at point (-4, -1)

Q: write the equation of the tangent and normal line line of the curve. huow soution your 2. (3.0) f…

A: First, check if the given point lies on the curve, f(x) . If the point is on the curve, then compute…

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A: Solution of the problem as follows

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Q: Find the slope of the tangent line to the curve 2x2 + 4xy- 2y = 142 - at the point (– 1, – 4).

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Q: Find the equation of the tangent line to the curve at the point (1,-3) x^2 +2xy-4y^3=103

A: Given :-  curve x2+2xy-4y3=103  To find :-  Equation of tangent line passing through (1,-3) to Given…

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Q: Find the equation of the tangent line to the function f(x) = -3x – 2x2 – 1 at the point where x =…

A: Given : fx = -3x3 -2x2 -1

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A: we have to find tangent line at x=-2given

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A: Using equation of tangent formula.

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A: we have to find tangent line to f(x) at x=-1given

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A: We can find the slope to the tangent to the curve at the given point as below.

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Q: Find the slope of the tangent line to 3x*y-6y 2 at (1,2)

A: Given : 3x2y2 - 6y = 2

Q: Find the slope of the tangent line to the curve 2x² 4xy + 4y³ = 10 at the point ( − 1, 1).

A: SOLUTION-

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Q: Find the slope of the tangent line to the curve - 4x² - 2xy + 3y³ = | at the point (3, 1). - 33

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Q: Find the equation of the tangent line to the curve g(x) = 3x² – 8x + 2 at the point (1, -3).

A: The equation of the curve and the point is given as,

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A: We will able to find equation of tangent line we need to find slope for the equation Given P(1,3)…

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A: Given function is  fx=32x+1

Q: Find the slope of the tangent line to the curve 1x^2+1xy−2y^3=160 at the point (−4,−4)

A: The objective of the question is determine the slope of the tangent linen to the given curve.