Solve the problem by writing and using a system of linear equations.Two bikers start at opposite ends of a trail and bike toward each other. The trail is 225 miles long and they meet in 5 hours. If one biker is twice as fast as the other, find both biking speeds.
A. 13 mph, 26 mph
B. 5 mph, 10 mph
C. 112.5 mph, 225 mph
D. 15 mph, 30 mph
Answer: D
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Use Euler's method to calculate the first three approximations to the given initial value problem for the specified increment size. Round your results to four decimal places.y' = -x(1 - y), y(3) = 3, dx = 0.2
A. y1 = 0.9000, y2 = 3.1240, y3 = 4.9083 B. y1 = 4.2000, y2 = 6.2480, y3 = 9.8166 C. y1 = 3.6000, y2 = 12.4960, y3 = 19.6333 D. y1 = 9.0000, y2 = 62.4800, y3 = 98.1664
Determine whether the improper integral converges or diverges.
dx
A. Diverges B. Converges
Find the graph that matches the given system of equations.3x + 4y = 1
A. 
B. 
C. 
D. 
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. 2x + y + 2z - 4w = 10x + 3y + 2z - 11w = 173x + y + 7z - 21w = 0
A. {(w + 5, 8w + 4, -3w - 2, w)} B. {(3w + 5, 6w + 6, -4w - 3, w)} C. {(-3w + 5, 2w + 6, 4w - 3, w)} D. {(w - 5, 8w - 4, -3w + 2, w)}