Provide the proper response.Give an example of a function for which the first derivative is always positive and the second derivative is always negative.

Fill in the blank(s) with the appropriate word(s).


f(x) = sqrt(x).

Mathematics

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Use the Trapezoidal Rule with n = 4 steps to estimate the integral.

A.
B. 68
C. 17
D. 34

Mathematics

Solve the problem.For what value of r does the infinite series 1 + 6r + r2 + 6r3 + r4 + 6r5 + r6 + ... converge?

A. |r| < 6
B. |r| < 
C. |r| < 1
D. |r| < 3

Mathematics

Find the rate as a ratio of distance to time. Round to the nearest hundredth where appropriate.701.25 m, 3.75 hr

A. 187 
B. 187 
C. 190.75 
D. 190.75 

Mathematics

Solve the problem.A group of 4 people wants to buy a boat. The boat costs $692. If they all pay the same amount, how much is each person's share?

A. $173 B. $163 C. $183 D. $138

Mathematics