2. Find the equation of the tangent line and normal line to the curve f(x)= 3x at the point(1,1). x² +2 2-x 3. Find the equation of the tangent line to the curve f(x)= 1+e* at the point(0,1). x² -1 ,find f'(x) and f"(x). x? - 3x+2 If f(x)= 4. „find f"(0). x-1 If f(x)= e* 5,

Q: #37) (modified) Find the equation if the tangent line at the point x=1: y = x4 + 1/x - 3ex

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Q: Find an equation of the line tangent to y = xinx at the point x = 1.

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Q: Limits by power series Use Taylor series to evaluate the following limits.

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Q: 4. Connecting back - Find the equation of the tangent line to the curve f(x) = 3x² + 2x − 5 through…

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Q: Find an equation of the tangent line to the curve y = 5 – 2x – 3x² at (1,0). y =

A: We will find the equation of the tangent line to the curve at the given point as following.

Q: Find an equation for the tangent line to the curve y = 4 at the point (3,16). X - 1 Oy - 16 = -3(x -…

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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 an equation of the tangent line to x2 +xy – y³ = 7 at the point (3,2). (You must use implicit…

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Q: 8. Find the equation of the horizontal tangent line to the curve y = -x + yx.

A: For horizontal  tangent line put the derivative  of function equals to zero

Q: Find the point on the curve g(x) = x² – 2 that is closest to the point (3,-2)

A: We can represent all the points on the curveg(x) = x2-2 as (x, x2-2)Now we will use the distance…