Consider the function f(t) = 4 sec²(t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0. Find F(t). Answer:

Q: Consider the function f(x) = 5x10 + 4x° – 2x* – 7. %3D Enter the antiderivative of f(x) + C

A: We have to find antiderivative

Q: a) In the implicit function exy² + x² = 1, y is a function of x. Find an explicit formula for y' and…

A: To find the explicit formula for y' (the derivative of y with respect to x), we'll differentiate the…

Q: Write the function in the form y = f(u) and u = g(x). Then find as a function of x. dx 8 3 y = | 5x…

A: The objective of the question is derivative of given function and choose the correct option.

Q: 4: Find the approximate value of f(-2.001, 1.002) where f(x, y) 3x?y + y? – xy +1

A:

Q: Let F(x) denote an antiderivative of f(x). Calculate | 1 | rf(x²)dx given that F(1) = 2, F(2) = 2,…

A:

Q: Find R(t) if R′(t)=⟨sint3,cost2⟩ and R(π)=⟨12,12⟩.

A: According to the given information it is required to find R(t).

Q: Let f(x) = V42 – r and g(x) = 2? – a. Then the domain of f ogis equal to [a, b] for T. a and b =

A: fog= (42-(x2-x))0.5       = (42-x2+x)0.5

Q: Let f(r) = 21 – 3. Find a function F that satisfies the following properties: • F(z) is an…

A: Given that f(x)=2x-3 To find the function F:

Q: Let f(u)=u4 and g(x)=u=3x3+1. Find (f◦g)′(−1).

A: We have to find out

Q: et f(x) = Vx2 + v8. Find f'(1).

A: