Determine an equation of the tangent line to y = (e +2)ª at the point (0, 81), then solve it for y. y =

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 an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

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Q: Find an equation of the tangent line to the graph of the function at the given point,

A: To find the slope we find y' at x=2 and y=1 so the slope is 2

Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: 59. Find an equation for the tangent line to the graph of y = xV2x + 3 at the point (3, 9).

A: Given that the function is y = x2x+3 To find the equation of tangent line at point (3,9). To find…

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

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Q: y = 7x + e5x ; (0, 1) %3D

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Q: How do I do this?

A: We are given a function and at a point

Q: 52. Find an equation of the tangent line to the graph of y = 4x/(1 + x²) at (a) (0,0); (b) (–1, –2).

A: Given- y=4x1+x2 To find- The equation of the tangent at the point a 0,0 and b=-1,-2. Identity Used-…

Q: 1. Find an equation of the tangent line to the curve  x^2 + y +y^2 = 13 at the point (-1, 3). ?

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Q: find an equation of the tangent line at the point indicated. R(z) = log5(2z2 + 7), z = 3

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Q: 4. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.

A: Solution :-

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: 2) Find the equation of the tangent line to the graph of x? + (y – x)3 = 9 at the point x = 1.

A:

Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.

A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…

Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (64, 8)

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Q: a) Find an equation for the tangent line to the curve y= 2/x at the point (2, 1) on this curve.

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Q: Find an equation of the tangent to the curve  y= x ln x at the point (e ,e )

A: Given: y=xlnx, e,e for finding equation of tangent, we need slopem of tangent at given pointe,e we…

Q: 3. Find the equation of the tangent line to the graph of x y + 7xy = 30 at the point (-5, 2). %3|

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Q: Find an equation of the tangent line to the graph of the function at the given point.

A:

Q: 4. Find the equation of the tangent to the curve y = xe* at the point (1, e):

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Q: 4. Find the equation of the tangent line to the curve y = 4+ e2 sin at the point (0, 5).

A: First find the slope at given point with the help of derivative than write the equation of tangent…

Q: Find the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

A:

Q: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: Find an equation of the tangent line to the curve at the given point. y = Vx, (25, 5)

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Q: tangent

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

A:

Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: Determine an equation of the tangent line to y= (e3x+2)5 at the point (0 , 243) then solve it for y.

A: We have to find the value of y.

Q: 2xy - y² + x = 2 at the point (1,2). - Find the equation of the tangent line to ² +2

A: By using equation of tangent line formula, we find the required tangent line.

Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

Q: 22. Find an equation of the tangent line to the curve at a given point y = e* cos(x), (0, 1)

A: Given:      Curve y=ex cosx     point =0,1   Finding slope m of the tangent evaluating the…

Q: Determine the equation of the tangent line to the function g(x) = (2ex)/x at the point, (2, e2).

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Q: II. Find the equation of the tangent line to the curve z2+V#j+y² = 19 at the point (1, 4).

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Q: e. Find the equation of tangent line to the cubic x³+ 6x² + 10x + 8 parallel to the l y = x .

A:

Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

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 y = 4x cos x at the point (, - 4). The equation…

A:

Q: 1. Find an equation of the tangent line to the graph of y = In (x² – 3) + e²-* at the point (2, 1).

A:

Q: Find an equation of the tangent line to the curve at the given point. y = √ x,  (81, 9)

A: Given: y=x, (81, 9)

Q: Determine an equation of the tangent line to y = (e3x - 2)4  at the point (0,1) then solve for y.

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Q: 1. find an equation of the line tangent to y = x-3 at point (O,-) %3D

A:

Q: 1. Find the equation of the tangent line to y e* at x = 0. = - x²+1

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Q: Find an equation of the tangent line to the graph of  y = e−x2  at the point (5, 1/e power of 25)

A:

Q: ) Find the equation of the tangent line to the curve y = 2x cos x at the point (π,-2π). The equation…

A: we have to find tangent to f(c) at x=pi

Q: dy dz a ) e-π7z In(y) = x²z

A: Detailed solution is given below.

Q: Find an equation of the tangent line to the graph of y = e¯x- at the point ( 5, 25

A: given: y=e-x2; 5,1e25 we know that for finding equation of tangent at point5,1e25, we need to find…

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

A: We find dy/dx at (2,4)

Q: 3. Find the equation of the tangent line to the graph of x²y + 9xy= 162 at the point (-3, 6).

A: