# calc

posted by .

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.

f(x)= x sqrt(x+21) , [-21,0]

If there is more than one solution separate your answers with commas.

c =

Do you know what Rolle's Theorem says?

Rolle's theorem states that if a function f is continuous on a closed interval [a,b] and f(a) = f(b) then

f'(c) = 0 where a <= c <+ b

it is easy to see that f(-21) = -21√0 = 0
and f(0) = 0

f'(x) = (x/2+1)(x+21)^(-1/2)

setting this equal to zero and solving I got x=-2, wich lies between -21 and 0

## Similar Questions

1. ### calc

Verify that the function satisfies the three hypotheses of Rolle's Therorem on the given interval. Then find all numbers c that satisfy the conclusiton of Rolle's Theorem. f(x)= x*sqrt(x+6) [-6,0] f is continuous and differential f(-6) …
2. ### calc

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" that satisfy the conclusion of Rolle's Theorem. f(x)=sin4pix , [-1/2,1/2] Well according to Rolle's Theorem, …

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers "c" that satisfy the conclusion of Rolle's Theorem. f(x)=sin4pix , [-1/2,1/2] Well according to Rolle's Theorem, …
4. ### Calculus

verify that the function satisfies the three hypotheses of rolle's theoreom on the given interval then find all numbers c that satisfy the conclusion of rolle's theorem. 1) 5-12x+3x^2 [1,3]
5. ### math

Question Part Points Submissions Used Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as …
6. ### math

Verify that the function f(x)=x^3-6x^2+8x+4 satisfies the three hypotheses of Rolle's Theorem on the given interval [0,4]. Then find all numbers c that satisfy the conclusion of Rolle's Theorem
7. ### calc

verify that g(x)=3x sqrt(x-5) satisfies the condition of rolle's theorem on the interval [0,5]. Find all numbers c that satisfies rolles theorem.
8. ### math

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = 5 − …
9. ### calc

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = x^3 − …
10. ### Calculus 1

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.) f(x) = x^3−x^2−20x …

More Similar Questions