Evaluate using any method.
? ln (x ?1)(x + 6)dx
(x ?1)ln (x ?1) + (x + 6)ln (x + 6) ? 2x +C
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Find the Jacobian for the given transformation.
A. 784v B. 896u C. 896v D. 784u
Solve the problem.A heavy-duty shock absorber is compressed 1 cm from its equilibrium position by a mass of 500 kg. How much work is required to compress the shock absorber 4 cm from its equilibrium position? (A mass of 500 kg exerts a force (in N) of 500g, where g ? 9.8 m/s2.)
A. 392 J B. 40 J C. 39,200 J D. 4000 J
Solve the problem.Pedro can't decide which size pizza to order. The 10-inch cheese and sausage pizza is 
while the 
deluxe is 
If he gets the 
pizza, the total price will be divided among 3 people. If he chooses the 
/> pizza, then the total price will be divided among 4 people. Which is the better buy? How much will each person pay? (Use 3.14 for ?.) A. 10-inch pizza; $3.66 B. 12-inch pizza; $3.00 C. 12-inch pizza; $3.66 D. 10-inch pizza; $3.00
Solve.A rope is 30 ft long. How can the rope be cut in such a way that the ratio of the resulting two segments is 3 to 5?
A. 10 ft and 6 ft
B. 12 ft and 18 ft
C. 
ft and 
ft
D. 
ft and 
ft