Find F as a function of x and evaluate it at x = 2, x = 4 and x = 9. F(x) = (t° + 8t – 4) dt F(x) F(2) %3D F(4) : F(9) :

Q: Consider the function g(t) = 2t2 – 2t.

A: g(t) = 2t² −2tdifferentiate with respect to t,g'(t) =4t -2 Therefore g'(t) =0⇒…

Q: Use the variable u for the inside function to express each of the following as a composite function.…

A: The given functions, a) y=5t2-34 b) P=11e-0.4 t c) C=6 lnq6+4. We have to write each of the function…

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

A:

Q: 07.

A: The function f(t) is defined as    ft=t,           0≤t<2,2,          2≤t<5,7-t,…

Q: Find the inflection point(s) (x,y) to the function f (x) = x²+x+1 %3D x2

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A: Given: fx=x2-20x To find the instant rate of change, Differentiate the given function with respect…

Q: Find f′(x) and f′(c).

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Q: Differentiate the function f(t) = yt (a + bt).

A:

Q: F(x) F(2) (5) F(7) - L² (t³ + 6 t F(x)= (t³ + 6t-5) dt

A:

Q: Find F′(x).

A: Given function Fx=∫14xcott dt To find: F'x Solution: Fx=∫14xcott dt=lnsint14x=lnsin4x-lnsin1…

Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: Find the derivative of the function: O f(x) 0 17 16 0-17 4 17 4 O-17 16 2x - 7 3x - 2 at x = 2

A:

Q: Find f such that f′(x)=8x​, ​ f(4​)=47.

A: Given, f′(x)=8x​,​ f(4​)=47.

Q: Draw the level curve for z = f(x, y) for each of the values listed below. Label each level curve…

A: Equating 2x2-y = z Equating with the values of z we can draw the graph for each function

Q: (b) Write the following function in the form of y = 1 (u) and u = g(x), then find as a function of x…

A: Recall that derivative of composition of functions of f and g is defined as:…