An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 17;
T = 10 seconds
A. d = -17 cos 
B. d = -10 cos 
C. d = -17 cos 
D. d = -17 sin 
Answer: C
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Find the unit tangent vector of the given curve.r(t) = (cosh t)i + (sinh t)j + k
A. T(t) = - 
(tanh t sech t)i + 
j + 
(sech t)k
B. T(t) = - 
(tanh t)i + 
j + 
(sech t)k
C. T(t) = 
(tanh t sech t)i + 
j + 
(sech t)k
D. T(t) = 
i + 
j
Find the simple interest. The rate is an annual rate unless otherwise noted. Assume 365 days in a year and 30 days per month. Round to the nearest cent.$900 at 4.8% for 
year
A. $3.24 B. $32.40 C. $43.20 D. $324.00
Identify the parts of each expression. Choose from these labels: variable, constant, and coefficient.14h + 9
A. 14 is a coefficient; h is a constant; 9 is a constant. B. 14 is a coefficient; h is a variable; 9 is a constant. C. 14 is a coefficient; h is a variable; 9 is a variable. D. 14 is a variable; h is a variable; 9 is a constant.
Solve the problem. It costs $350 to charter a bus for a ski trip. It also costs $400 per student for all other expenses including food, lodging, ski rental, and lift tickets. Let P(n) represent the per student cost (in dollars) to go on the trip if n students go on the ski trip. By finding an equation for P(n), determine how many students need to go on the trip so that the per person cost is no more than $420.
A. at most 18 students B. at least 17 students C. at most 17 students D. at least 18 students