Evaluate the integral.
A. 35
B. 21
C. 27
D. 1
Answer: A
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Solve the problem.A small farm field is a square measuring 320 ft on a side. What is the perimeter of the field? If you double the length of each side of the field, what is the new perimeter?
A. 640 ft, 2560 ft B. 320 ft, 1280 ft C. 1280 ft, 2560 ft D. 640 ft, 1280 ft
Decide whether the statement is true or false. If it is false, tell why.If k is a negative integer, then x2 = k will have two irrational solutions.
A. False; the equation will have two rational solutions. B. True C. False; the equation will have no real number solutions.
Tank A contains 50 lbs of salt dissolved in 100 gal of water. Tank B contains 100 lbs of salt dissolved in 100 gal of water. The mixture from tank A is pumped to tank B at the rate of 75 gal per hr, while the mixture from tank B is pumped to tank A at the same rate. Assume that the mixture in each tank is uniform by stirring. Let A(t ) and B(t ) be the amount of salt in tanks A and B after t hours, respectively.
(a) Draw a two-compartment model for A(t ) and B(t ) . (b) Use the initial conditions A(0) = 50 and B(0) =100 to solve for A and B. (c) What are the equilibrium values of A and B?
Use mathematical induction to prove that the statement is true for every positive integer n.2n > 2n - 1
What will be an ideal response?