Simplify the expression.ln (e7 ln x)
A. x7
B. 7
C. ln 7
D. ln x7
Answer: D
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Evaluate the line integral along the curve C.
ds , C is the path from (0, 0, 0) to (1, 1, 1) given by:C1: r(t) = ti, 0 ? t ? 1C2: r(t) = i + tj, 0 ? t ? 1C3: r(t) = i + j + tk, 0 ? t ? 1
A. -41 + 5e5 + ln 2 B. -25 + e5 C. -19 + e5 D. -36 + 6e5 + ln 2
Express the number as the ratio of two integers.0.386386 . . .
A. 
B. 
C. 
D. 
Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
A. 7 P1 planes and 11 P2 planes B. 11 P1 planes and 7 P2 planes C. 9 P1 planes and 13 P2 planes D. 20 P1 planes and 0 P2 planes
Solve the problem.The function F described by F(C) = 
C + 32 gives the Fahrenheit temperature corresponding to the Celsius temperature C. Find the Fahrenheit temperature equivalent to -5°C.
A. 14°F B. 23°F C. -4°F D. 5°F