Solve the problem.Consider   where  Find a number A such that  for all x satisfying  Use this A to obtain a bound on the error of using Simpson's rule with  to approximate the definite integral.

A. 2.8935 × 10-5
B. 6.5104 × 10-5
C. 7.2338 × 10-6
D. 1.0417 × 10-2


Answer: C

Mathematics

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Translate the problem situation to a system of equations. Do not solve.The difference between two numbers is 11. Three times the smaller number plus the larger number is 67. What are the numbers?

A. x - y = 11; x + 3z = 67 B. x - y = 11; 3x + y = 67 C. x - y = 11; x + 3y = 67 D. x + y = 11; x + 3y = 67

Mathematics

Decide whether the graph of the equation opens up, down, to the left, or to the right; and whether it is wider, narrower, or the same shape as the graph of  (or ).x = y2 + 8y + 3

A. To the right; narrower B. To the right; wider C. To the right; same D. To the left; same

Mathematics

Find area of figure. Round to the nearest hundredth if necessary.Find the area of a rectangle measuring 6 mi by 11 mi.

A. 66 mi2
B. 73 mi2
C. 18 mi2
D. 36 mi2

Mathematics

Perform the indicated operations and express the result in simplest form.

A. 3
B. 25
C. 5
D. 153

Mathematics