Hi,

These are true or false questions. Can you help please?

1. The function, y = - 8+ 18is concave downward on the interval (1,3).
2. Exact evaluation ofdx over the interval (0,1) gives (e-1)/2.
3. For (4/x)dx over the interval (1, 3) the value is 4.
4. Correct completion for the formula dx is .
5. Indefinite integral and antiderivative are the same function.
6. If y'>0 and y"<0, then y will be concave downward and decreasing.
7. Absolute extrema will always be relative extrema, too.
8. Marginal revenue is the antiderivative of revenue.
9. Some extrema can be found by equating the derivative to zero.
10. An inflection point occurs when the first derivative equals zero.
11. Area under a curve, real number and definite integral are all synonymous.
12. In the formula (1/x) dx the correct completion is ln x.
13. Completing the power rule for integrals du gives .
14. Increasing and concave upward behavior by g(x) means g"(x)<0 and g'(x)>0 Increasing and concave upward behavior by g(x) means g"(x)<0 and g'(x)>0.

Thank you!