Answer:
c=2
Step-by-step explanation:
All polynomials are continuous and differentiable on the set of real numbers.
So we just need to confirm on the given interval that f(1)=f(3).
f(1)=1-12(1)+3(1)^2
f(1)=1-12+3
f(1)=-8
f(3)=1-12(3)+3(3)^2
f(3)=1-36+27
f(3)=-8
So this means there is c in (1,3) such that f'(c)=0.
To solve that equation we must differentiate.
f(x)=1-12x+3x^2
f'(x)=0-12+6x
f'(x)=-12+6x
Remember we need yo solve f'(c)=0 for c.
So we need to solve -12+6c=0.
-12+6c=0
Add 12 on both sides:
6c=12
Divide both sides by 6:
c=2
Answer:
3,000
Step-by-step explanation:
Find the number in the thousand place 2 and look one place to the right for the rounding digit 9
. Round up if this number is greater than or equal to 5 and round down if it is less than 5
.
Answer:
Jerry Adams normally pays $875 for bodily injury and property damage insurance. His insurance company increases premiums by 150% for 1 accident, 200% for 2-3 accidents, and 250% for 4 accidents. Find ... If the probability that he will live through the year is 0.9989, what is the expected value for the insurance policy?
Answer:
5(9b + 8)
Step-by-step explanation:
Rewrite 45 as 5 * 9
Rewrite 40 as 5 * 8
= 5 * 9b + 5 * 8
Factor out common term 5
=5 (9b + 8)
Answer:
t = 10.2
Step-by-step explanation:
We have the following exponential equation.
We divide both sides by 500.
We apply logarithm to both sides.
We use the logarithm power rule.
Finally, we solve for t.
t = 10.2
