Find a so that the statement is true.
A. 6
B. 0
C. 5
D. 8
E. 7
Answer: E
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Solve the problem.An express train and a local train leave a station at the same time (on separate tracks) and head for a town 50 miles away. The express travels twice as fast as the local and arrives 1 hour ahead of the local. Find the speed of each train.
A. Express: 100 mph; local: 50 mph B. Express: 25 mph; local: 12.5 mph C. Express: 50 mph; local: 25 mph D. Express: 60 mph; local: 30 mph
Find the equilibrium solution of the equation of change 
.
?
A. ?
B. ?
C. ?
D. ?
Solve the given problem by use of the sum of an infinite geometric series.A bicyclist traveling at 9 m/s then coast to a stop as the bicycle travels 0.98 as far each second as in the previous second. How far does the bicycle travel in coasting to a stop?
A. 475 m B. 450 m C. 400 m D. 460 m
Use a calculator or computer program to approximate the value of y(T) using Euler's method with the given time step on the interval [0, T]. Then, using the exact solution given, find the error in the approximation to y(T) (only at the right endpoint of the time interval). Round answers to five decimal places, do not use intermediate rounding.y'(t) = -3y, y(0) = 1; ?t = 0.2, T = 1; y(t) = e-3t
A. y(1) ? 0.01024; 0.20000 B. y(1) ? 0.01024; 0.04979 C. y(1) ? 0.02560; 0.02419 D. y(1) ? 0.01024; 0.03955