Use dimensional analysis to solve the problem.A defendant in a collision case claims that he was traveling at 36 mi/hr (which happens to be under the speed limit) around a blind curve and did not have time to swerve to miss rear-ending the plaintiff, who had just pulled into the road. The investigating officer determines that any speed less than 60 ft/sec would have allowed time to brake or swerve to avoid the collision. How would you judge the defendant? Explain.
A. Not guilty. The defendant was traveling 64 ft/sec.
B. Guilty. The defendant was traveling about 53 ft/sec.
Answer: B
Mathematics
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Solve the problem.If f(x, y) = (4,000ey)/(1 + /2) represents the population density of a planar region on Earth, where x and y are measured in miles, find the number of people within the rectangle -9 ? x ? 9 and -4 ? y ? 0.
A. 8,000(1 - e-4) ln ? 13,388
B. 4,000(1 - e-4) ln ? 6,694
C. 8,000(1 - e-4) ln 5 ? 18,832
D. 16,000(1 - e-4) ln ? 26,776
Mathematics
Solve the equation.9x3 - 16x = 0
A. , -
B.
C. , -
, 0
D. -
Mathematics
Simplify.
A.
B.
C.
D.
Mathematics
Determine whether the matrix is in row-echelon form. If it is, then determine also whether it is in reduced row-echelon form.
A. Yes; yes B. Yes; no C. No
Mathematics