63. Let F(x) = f** x Cos t to the curve y = - dt. Find an equation of the tangent line t F(x) at the point with x-coordinate T.

Q: Find x values where f(x) = x' + x - x - I has a horizontal tangent line. Select one or more: O a. x…

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Q: 8. Determine the equation of the tangent line to the graph of the lemniscate: 2(x2 + y2)2 = 25(x² –…

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Q: 58. Find an equation for the tangent line to the graph of y = Vx? + 3x at the point (1, 2).

A: The given function is y=x2+3x. Compute first derivative as follows. dydx=ddxx2+3x=12x2+3x…

Q: Find the tangent line to y = x -x+7 at x = 7. ,2 The tangent line to y = Vx -x + 7 at x = 7 is y =

A: We have to find tangent line

Q: If X, Y have some bivariate density, prove that Var(X – Y) = V ar(X)+Var(Y) – 2Cov(X,Y). | (justify…

A: The objective is to show var(x-y)=var(x)+var(y)-2 Cov(x,y)

Q: 5) Determine the slope of the tangent line to the function with the given information: a. f(x, y) =…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: The tangent line to y = f(x) at (1,—8) passes through the point (9,-7). Compute the following. a.)…

A: We can solve this as follows:

Q: 10) Find the tangent line to the curve 16 1 at the point (4 23).

A:

Q: 3pts) Find the equation of the tangent line to the graph of the function f(x)=x-Vx at the point…

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Q: 3. Determine the gradient of the tangent at a point (2, 5) to the XY graph with the implicit…

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Q: Use implicit differentiation to find y', and evaluate y' for xy - 4x = 0 at the point (2,4). 2 ху-.…

A: We have to find the differential dydx of the function x2y-4x2=0 at the point 2, 4. We have to use…

Q: An object is shot vertically upward from the ground with an initial velocity of 224 ft/sec. For…

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Q: Let exy - x3 = y5. Find Y. dy xp O yexy – 8x7 xexy - 5y4 8x7 xexy yeY -5y 5y4 xey - 5y 5y4 8x7 -…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…