Question

(a) Find the most general antiderivative of the function f(x) = −x^ −1 + 5√ x...

(a) Find the most general antiderivative of the function f(x) = −x^ −1 + 5√ x / x 2 −=4 csc^2 x

(b) A particle is moving with the given data, where a(t) is acceleration, v(t) is velocity and s(t) is position. Find the position function s(t) of the particle. a(t) = 12t^ 2 − 4, v(0) = 3, s(0) = −1

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for...
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = 4x + 7 f(x)= Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = 9 x8 f(x)= f '(t) = sec(t)(sec(t) + tan(t)),    −− π/ 2 < t < π/ 2 , f ( π/ 4) = −3 f(t)= Find f. f '''(x) = cos(x),    f(0)...
1) Find the antiderivative if f′(x)=x^6−2x^−2+5 and f(1)=0 2)Find the position function if the velocity is...
1) Find the antiderivative if f′(x)=x^6−2x^−2+5 and f(1)=0 2)Find the position function if the velocity is v(t)=4sin(4t) and s(0)=0
Find the particular antiderivative that satisfies the following conditions: A) p'(x)=-20/X^2 ; p(4)=3 B) p'(x)=2x^2-7x ;...
Find the particular antiderivative that satisfies the following conditions: A) p'(x)=-20/X^2 ; p(4)=3 B) p'(x)=2x^2-7x ; p(0)=3,000 C) Consider the function f(x)=3cos⁡x−7sin⁡x. Let F(x) be the antiderivative of f(x) with F(0)=7 D) A particle is moving as given by the data: v(t)=4sin(t)-7cos(t) ; s(0)=0
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for...
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) 1.)f(x) = 5/x^4 2.)f(t) = 2+t+t^2 / sqrt (t) 3.)f(x) = 7sqrt(x^2) + xsqrt(x)
A particle is moving along a straight line and has acceleration given by a(t) = 20t^3+12t^2}....
A particle is moving along a straight line and has acceleration given by a(t) = 20t^3+12t^2}. Its initial velocity is v( 0 ) = 4 m / s and its initial displacement is s( 0 ) = 5 m. Find the position of the particle at t = 1 seconds.
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for...
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) !.) f(x) = 8x + 3 2.)f(x) = x2 − 7x + 3 3.)f(x) = 6x5 − 4x4 − 9x2 4.)f(x) = x(12x + 4)
A particle is moving along a straight line and has acceleration given by a(t) = 20t^3+12t^2}....
A particle is moving along a straight line and has acceleration given by a(t) = 20t^3+12t^2}. Its initial velocity is: v(0) = 4 m/ and its initial displacement is s(0) = 5 ms. Find the position of the particle at t = 1 seconds. 10  m 5  m 11  m 4  m 2m
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for...
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = ⁹√x² + x√x F(x) =
10. (6pts.) Show that the derivative of f(x) = 1 + 8x^ 2 is f ‘(x)...
10. (6pts.) Show that the derivative of f(x) = 1 + 8x^ 2 is f ‘(x) = 16x by using the definition of the derivative as the limit of a difference quotient. 11. (5pts.) If the area A = s^ 2 of an expanding square is increasing at the constant rate of 4 square inches per second, how fast is the length s of the sides increasing when the area is 16 square inches? 12. (5pts.) Find the intervals where...
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for...
Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antiderivative.) f(x) = 11x4/7 + 6x−6/7 f(x)=