5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area F(x) = √25-t² dt f

Q: 1. Find the general form of f if f'(x) = 4(x).

A: We have to find the general form of the function f if f'x=4 fx. Rewriting the given equation, f'x=4…

Q: 1 2.if [(fT))=, find [ f(4t) S

A: Laplace transform of the function

Q: If f(2)=9 and f'(2)=2, estimate f(1.9).

A:

Q: find Zrr and Zss for function Z(r,s)=ln(2r+3s)

A: Given that  find Zrr and Zss for function Z(r,s)=ln(2r+3s)find Zrr and Zss for function…

Q: Estimate f (2.1) if f (2) = 1 and f'(2) = 3.

A: Given: The linear approximation of f at a is one way of writing the equation of the tangent line at…

Q: Differentiate. 7t f(t) t3 - t - 1 f'(t) =

A:

Q: Determine f '(x) for the following functions

A: Given, g. fx = xln2x3  h. fx = cos2x2+4   We have to find f'x

Q: Encounter the sector's area beneath the diagram of f(x) to the right of x = 12. f(x) = 1 / (x - 9)2

A:

Q: Q/ Use Lagrangian polynomial to find f'(2.1) from the following table 1 2 3 f(x)| 10 17 22

A: Numbers of data point set is 3, so the degree of polynomial will be at most degree 2.

Q: 2. Determine the exact value of f'(2) for f(x) = (2e³ + 3e-6x)5.4,

A:

Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

A:

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: Calculate L6 for f(x) = \6x + 1 over [1,3]. (Give your answer to three decimal places.)

A:

Q: [2, 03 b) If f(t)={ , find L{S(1)}.

A:

Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

A:

Q: Q6. Verify that 8²1 əxəy for the function f(x,y) = ln(2x + 3y)

A: Given,            fx,y=ln2x+3yTo find : Verify that ∂f∂x∂y for the given function.

Q: Find f. 13 f"(x)=x³+ sinhx, f(0) = 4, ƒ(2)= 5

A:

Q: . If y=1, find f'(1) 3.x²

A:

Q: Encounter the sector's area beneath the diagram of f(x) to the left of x = 12. f(x) = 1 / (x - 9)2

A: The area under a curve between two points is found out by doing a definite integral between the two…

Q: 3. An object exhibits simple harmonic motion with a time period of 0.94 s, a maximum acceleration of…

A:

Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…