In Exercises 1-4, find an equation of the tangent line at the point indicated. y = sin x, x =

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

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Q: 1- Find the equation of the tangent to the 2(x? + y?)² = 25(x² – y2) at (3,1) Cind In(tam (3.2)

A: The given equation of the curve is2x2+y22=25x2-y2to find equation of tangent at (3, 1)

Q: Find an equation of the tangent line to the graph of the equation In(x) + xe' = 1 at the point (1,…

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Q: Find an equation of the tangent line to the given curve at the specified point. 2x (2, 1) %3D X + 2'

A: Equation of a line having slope m pass through the point (x1,y1) is       (y - y1) = m (x -x1)

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 5x + 1), (5, 0) y…

A: Given y=lnx2-5x+1 We have to find tangent line at (5,0)

Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then…

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

A: Given, y=2x+1x+2Point=1, 1

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

A: The objective is to find the equation of the tangent line to the curve at the given point.

Q: Find the equation of the tangent line to the curve: y? – x³ = 1 at point (2, -3) %3D

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

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Q: Find (a) the equation of the secant line through the points where x has the given values, and (b)…

A: Given f(x)=3x2-5x+7, x=2, x=4

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

A: According to power rule of differentiation ,ddx(xn)=nxn-1 and and according to product rule of…

Q: Find an equation of the tangent line to the curve at the given point. = sec X, (π/3, 2) y

A: The answer posted in the image would have been correct if the student had typed 23x instead of 23x…

Q: In Exercises 25-34, find an equation of the tangent line at the point speci- fied.

A: y=cscx-cotx We need to find the equation of the tangent line at x=π4

Q: a) Find an equation of the tangent line: x' +y' + 9xy = 27 at (x, y) = (1, 2)

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Q: Find an equation of the tangent line to the curve at the point (3, 11). х — 1 y = X - + 9 ·2 y =

A: Note: As per our company guidelines we are supposed to answer the first question only. Kidnly ask…

Q: x = 2 – 3 cos 0, y= 3 + 2 sin 0, (-1,3),(2. 5).(**2) + 3/3 , 2 (-1, 3), (2, 5),

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Q: Find an equation of the tangent line at the given point. xy + x2y2 = 6, (2, 1)

A: We first find dy/dx at x=2, y=1

Q: Show that the tangent line to the graph of y = ex at the point (a, ea) is perpendicular to the…

A: Given: y=ex  ……1 Tangent line, with slope say m1, of above equation passes through a, ea.   Also,…

Q: b) Show that the equation of the tangent line to the x², y? Xox at (xo, Yo) is Yo.y + a² ellipse 31.…

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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: 1- Find the equation of the tangent to the 2(x2 + y?)2² = 25(x² . y?) %3D at (3,1)

A: To find the equation of the tangent

Q: In Exercises 5–10, find an equation for the tangent line to the curve at the given point. Then…

A: Given query is to find the equation of the tangent at given point.

Q: The slope of the tangent line x = e*, y = In e3x

A: Let's find.

Q: Find the equation of the tangent line at the given point on the curve. 2x2 + 2y? 29y-y e 58x/5, .2…

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Q: Find an equation of the tangent line at x = a, y = x² – - X; a = - 2

A: Equation of tangent line ,  y - y0 = m ( x - x0 )  Here m is the slope of tangent line and  ( x 0 ,…

Q: Find the equation of the tangent line to the curve at the given point. y = /2x +1, (4, 3)

A: To find the slope, we find dy/dx at (4, 3) At (4, 3):

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

A: We have given the curve y = x5 + 3e5 and the point (0, 3). Find the slope at x = 0. Therefore, we…

Q: Find an equation of the tangent line to the curve xe + ye = 3 at the point (0, 3)

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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 at the given point. 1 :- x, (-1,2) Vx2 f(x) = 3

A: Here we use the equation of tangent line:

Q: What is the equation of the line tangent to the curve e + cos(x) = 1 at the point ,0|? y=x+ y=0 TT…

A: Given that the curve is ey+cosx=1 and the point is π2,0. It is required to find the equation of…

Q: Write an equation for the tangent line at (c, f(c)) f(x)=sqrt(x); c=4

A: Given function is x Slope of f(x) at any point is given by, m=f'(x)

Q: find an equation of the tangent line at the given point. xy + x2y2 = 6, (2, 1)

A: Our Aim is to find an equation of the tangent line of the given pointxy+x2y2=6 -(i) at…

Q: Show that an equation of the tangent line to the graph of = 2 at the point (a, b) is given by a b.…

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Q: Find the equation of the tangent line to the curve y = (1 + 2x)? at the point (4, 81). y =

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x), (7/6, 2/3/3)

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Q: An equation of the tangent line to the curve C at the point (1, 2) is

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

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

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Q: Find an equation of the tangent line to the curve xe + ye* = 2 at the point (0, 2).

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Q: In x Find the equations of the tangent lines to the curve y = at the points (a) (1,0) and (b) (e,…

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Q: Determine the equation of the tangent line to x+1 22+1 at x = X= G

A: Given equation, y=x+1x2+1

Q: This question is asking me for the equation of the tangent line, how do I find it?

A: Consider the given curve x2y + y3 = 75

Q: Find the point of tangency and write the equation of the tangent line at this point. B

A: The tangent to a circle is defined as a straight line that touches the circle at a single point. The…

Q: Find an equation of the tangent line and normal line to the curve at the given point. y = x* – 2e*,…

A: Given curve is y=x4-2ex. To find the equation of the tangent line and normal line to the curve at…