Let S be the set of all strings in 0’s and 1’s, and define a function g: S ?? Z as follows: for each string s in S,
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Evaluate the integral by using multiple substitutions.
dt
A. 
+ C
B. 
+ C
C. - 
+ C
D. - 
+ C
Solve. Express the answer in scientific notation to two decimals unless requested otherwise.A computer can do one calculation in 1.4 × 10-7 seconds. How long would it take the computer to do a trillion (1012) calculations? Round to one decimal place.
A. 1.4 × 10-7 sec B. 1.4 × 105 sec C. 1.4 × 1012 sec D. 1.4 × 106 sec
Solve the problem.A bridge with a semi-elliptical arch extends over a river as shown. Find an equation of the ellipse that represents the arch of the bridge.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Solve the problem.The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which usually sells for $8 per pound. They have a 
barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per pound for the mixture?
A. 112 lb B. 98 lb C. 91 lb D. 105 lb