Find the equation of the line that is tangent to y = 8– x* at x = 1. Use vour answer from the previous part to approximate 8 – (1.01)4

Q: Estimate the slope of the tangent line of the function y(t) = sqrt(2t+1) at the point t=5.

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Q: . Find an equation of the tangent line y = e* that is parallel to the line x – 4y = 1.

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Q: Find the slope of the tangent to the curve r=−6+5cosθ at the value θ=π/2

A: Given curve is

Q: Find an equation of the tangent line to y = 24ex at x = 2.

A: Our Aim is to find an equation of tangent line to y=24ex at x=2At x1=2, we have y1=24e2Now we find…

Q: Find the slope of the tangent to the curve at the point specified. x² +y² = 9 at (0, 3) The slope is

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Q: Determine the slope of the tangent line to the curve (;² – 2x – 8) 2 -9 R(x) = at the point where…

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Q: Find the slope of the tangent to the curve x2 + 8xy + y = 10| at (1, 1)|

A: The equation of the given curve, x2+8xy+y2=10

Q: Find an equation of the tangent line to the curve y = x sqrt x that is parallel to the line y = 1+…

A: Now slope of the tangent line is the derivative of the given curve. So differentiating given curve…

Q: ) Find an CIuation of the line tangent to the graph of Gec)=6e3X x tal dou2 o the Point (0,6). at

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Q: Use the diagram at the right to find m24. R tangent line

A: Tangent chord angle is half of the arc angle.

Q: Find the slope of the tangent line to the curve V4r + y+ VIY = /13 + V10 at the point (2, 5). The…

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Q: Find an equation of the tangent line to the curve y = 7tan(5x) at the point (0, 1)

A: According to Bartleby only first question can be solved at a time Please find the solution

Q: Find the slope of the tangent line for the curve r=3+5cosθ when θ=π/6

A: Concept - If a function f(x) is given then slope of the line tangent to it at x=a is given by -slope…

Q: Find the slope of the tangent to the curve a+ 4xy+ y = 46 at (1,5). The slope is | (Enter undef if…

A: Topic = Derivative

Q: Find the slope of the tangent to the curve x^2+3xy+y^2=5 at (1,1).

A: The equation of the curve is given by x2+3xy+y2 = 5                           .......1 The point is…

Q: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

Q: At what exact point on the curve  y = 8 + 2ex − 3x  is the tangent line parallel to the line  3x −…

A: The given curve is y=8+2ex-3x and the line is 3x-y=9. For the tangent line to be parallel to the…

Q: Estimate the slope of the tangent line at the point t = -7, for f(t) 6t - 2. (Give your answer as a…

A: Given,

Q: Find the slope of the tangent line to the curve y = (1+4x)? at the point x = 2.

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Q: For what value of x is the tangent line to the curve y= x² - 6x +5 horizontal?

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

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Q: Find the equation of the tangent to y = 1 + 2x + 3x*4 at the point with x -coordinate 1

A: Find the derivative of y = 1 + 2x + 3x4                                y' = 2 = 12x3

Q: Determine the slope of the tangent line of the curve y = x+4 at x = 7. O 14 O 28 O 21 0 7

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

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Q: Estimate the slope of the tangent line at the point t=−4, for f(t)=15t−6. (Give your answer as a…

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Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 15t – 1. (Give your answer as…

A: Slope of tangent line

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…

Q: Find an equation of the tangent line at x and f'(3) = 2. 3, assuming that f(3) = 5

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Q: At which points on the curve y = 1 + 60x3 - 2x5 does the tangent line have the largest slope? 1 5…

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Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 11t-3.

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Q: find the equation of the tangent line at the given point x=2cost+3 y=3sint-2 at the point given by…

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Q: What is the slope of the tangent line to y = 4x at x = O?

A: Our Aim is to find the slope of the tangent line to y=4x at x=0.

Q: Find the slope of the tangent line to the graph r=2sin(0) at the point V3, 3 11.

A: We have to find

Q: Find the point(s) on the graph of y = (x2 – 168)e where the tangent line is horizontal.

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Q: Find the equation of the tangent line to the graph of y(x) 7z at a = 0. quation of the tangent line…

A: As we know that the first derivative of the function is equal to the slope of the tangent line to…

Q: What is the value of the slope of the tangent line to the curve y+y S passing through the point with…

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Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-…

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0…

Q: 8 17

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Q: Find an equation of the tangent line to the function y 3x2 at the point P(1, 3). = Soluti

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Q: Find the slope of the tangent to the curve x^4+5xy+y^2=7 at (1,1). The slope is:

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Q: Find an equation of the tangent line to the curve y=x√xthat is parallel to the line y= 1 +3x

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Q: Find an equation of the tangent line to the curve  y = x * sqrt(x)  that is parallel to the line…

A: Given,curve is y = xx that is parallel to the line y= 6+9x

Q: Determine the equation(s) of the tangent line(s) to the graph of r3y-xy, 6 when x--1

A: The point on the graph x3y=xy2+6 when x=-1 is given by plugging the value in the equation,Hence, the…

Q: Estimate the slope of the tangent line at the point t = -6, for f(t) = 4t – 2. (Give your answer as…

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Q: What is the slope of the line tangent to the curve y = 3x² + 6x +3 at x = 4? Oy' = 51 O y' = 30 O y'…

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Q: Estimate the slope of the tangent line at the point t = -5, for f(t) = 10t – 1. Give your answer as…

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Q: Find the slope of the line tangent to the curve y =x-2x+ 1 at x 1 01 O 1/2 O 1/3 O 1/4

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Q: Find the points on the curve y = x3 + 3x2 9x + 4 where the tangent is horizontal. smaller x-value…

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Q: For what value(s) of x is the line tangent to the curve y = xV6 - x horizontal? Vertical?

A: Given curve is: y=x6-x Differentiating with respect to x we get,…