Answer:
C.
Step-by-step explanation:
Answer: D) 101
Step-by-step explanation:
By linearity, we can break it up into 2 integrals. The integral and derivative of f easily cancel out

I used the table for values of f(x) at 10 and -1. Wouldn't be surprised if this was part of a series of questions about f because I really can't see how you could use the hypothesis that f is twice differentiable on R. Same for the other table values. I'm curious about how you found the answer. Was it a different way?
Answer:
2√3
Step-by-step explanation:
So √12 is in radical form. I think what you are asking for is to reduce the expression to its **simplest** readical form.
So 12 = 4*3, √12 = √4 * √3.
So 12 = 4*3, √12 = √4 * √3.
We can ‘reduce’ this by noting that √4 =2, so the expression becomes 2√3.
This cannot be further reduced because 3 isn’t a square or divisible by a square, so 2√3 is the simplest radical form.
Let Jack's speed be x. Bob's is then x + 4.
Jacks time for the 1000 km is 1000/x.
Bob's is 1000/(x+4) + 1/2 (the 1/2 being the 30 minutes he was delayed).
They tied so their times were equal. 1000/x = 1000/(x+4) + 1/2.
We multiply by x(x+4) and get 1000(x+4) = 1000x + x(x+4)/2.
Simplifying, we get x^2 + 4x - 8000 = 0. x = [- 4 + √(16 +32000)]/2 = √8004 -2, Jack's speed.
Bob's will be √8004 +2.
This seems way too fast! But I don't see any mistake<span>
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