Math Calculus
Suppose f(x)= 7-8x^2, by the Mean Value Theorem, we know there exists a c in the open interval (-2,5) such that f'(c) is equal to this mean slope. For this problem, there is only one c that works. Find it.
You can ask a new question or answer this question .
Similar Questions
Top answer:
First prove that: Lim x²*M = 0 as x->0 and Lim x²*(-M) = 0 as x->0 Since it is given that f(x)<M
Read more.
Top answer:
To prove that the limit of x^2 * f(x) is 0 as x approaches 0 using the squeeze theorem, we need to
Read more.
Suppose that f is an odd function for all x . Suppose that f′(xo) exists. Which of the following must be necessarily be equal
Top answer:
C. -f'(xo) Since f is an odd function, we can say that f(-x) = - f(x) for all x. So, if we
Read more.
Top answer:
Here are three different situations where you could apply the Pythagorean Theorem: 1. Building and
Read more.
Top answer:
If f'=3, then f=3x+C, so f(8)]=24+C, but C=2 if f'=3. So f(8)=26 f(2)=8 by the same argument. then
Read more.
Question: Consider the IVP dy/dt=f(y,t) =(t^2)*y - t + 5 , y(0)=5 Show that the function satisfies the Lipschitz continuity
Top answer:
Small typo in | ∂f/∂t | It should be | ∂f/∂t | = |2yt-1| <= |2yt| + |-1| ===> | ∂f/∂t |
Read more.
Question: Consider the IVP dy/dt=f(y,t) =(t^2)*y - t + 5 , y(0)=5 Show that the function satisfies the Lipschitz continuity
Top answer:
To show that the function f(y,t) = (t^2)*y - t + 5 satisfies the Lipschitz continuity condition on
Read more.
Top answer:
can some one please help me, i really really need help. thanks for any help.
Read more.
Top answer:
if you google MVT you will see diagrams of what it means. All it amounts to is that if the
Read more.
Top answer:
If y = (x-1) sinx, then y' = sinx + (x-1)cosx = k sin(x+θ) where cosθ = 1/√(1+(x-1)^2) since k
Read more.
