Apply Green's Theorem to evaluate the integral.
(7y dx + 5y dy)C: The boundary of 0 ? x ? ?, 0 ? y ? sin x
A. 0
B. 4
C. -2
D. -4
Answer: D
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Solve the problem.Use Newton's method to estimate the one real solution of the equation 
. Start with 
Then, in each case find x2.
What will be an ideal response?
Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.3x = y - 6(0, ), ( , 0), (3, )
A. (0, 6), (18, 0), (3, 7)
B. (0, -6), (2, 0), (3, 3)
C. (0, 6), (-2, 0), (3, 15)
D. (0, 6), (2, 0), (3, -3)
Tank A contains 50 lbs of salt dissolved in 500 gal of water. Tank B contains 100 lbs of salt dissolved in 500 gal of water. The mixture from tank A is pumped to tank B at the rate of 250 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?
Find the difference. 727 - 154
A. -573 B. 573 C. -881 D. 473