The right option is (c). The Mean Value Theorem does not apply since f(x) is not differentiable on (-1,8). Because the derivative of f is 2/3 x^(-1/3) which is undefined at x=0.So, that would imply that it is not differentiable along the interval.
Step-by-step explanation:
Solution
According to remainder theorem, when f(x) is divided by (x+2), Remainder =f(−2)
f(x)=5x3+2x2−6x+12
f(−2)=5(−2)3+2(−2)2−6(−2)+12
=5×−8+2×4+12+12
=−40+32=−8
∴ Remainder=−8
Answer:
the answer is 19.06396
Step-by-step explanation:
there is no need for further explanation because the equation is already balanced
Answer:
2
Step-by-step explanation:
The height formula given is:
h = -16t^2 + 70
That means the object will be initially (t=0) at the height 70 feet, from where it will be dropped.
If we want to know the time when the object will be at height 6 feet, we just need to use h=6 in the equation, and then calculate the value of t:
6 = -16t^2 + 70
16t^2 = 64
t^2 =4
t = 2 s
So, it will take 2 seconds for the object to be 6 feet above the valley floor.