Solve the problem.A rectangular piece of tin has an area of 703 square inches. A square of 4 inches is cut from each corner, and an open box is made by turning up the ends and sides. If the volume of the box is 1,276 cubic inches, what were the original dimensions of the piece of tin?
A. 19 in. by 37 in.
B. 11 in. by 25 in.
C. 23 in. by 41 in.
D. 15 in. by 33 in.
Answer: A
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Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere 
and on the sides by the cylinder 
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration 
.
A. 
+ 
B. 
+ 
C. 
+ 
D. 
+ 
Find the function value.Let f(x) = e3x. Find f(-0.50), rounded to four decimal places.
A. -0.3502 B. 0.3502 C. -0.2231 D. 0.2231
Multiply.
? 
A. 
B. 
C. 
D. 
Solve the problem.A particle moves every second on the x-axis in one-unit jumps such that its coordinate at any time is 0, 1, 2, or 3. If the particle is at 0 or 3, it does not move. On the other hand, if it is at 1 or 2, it will move to the right with probability 
and to the left with probability 
.(a) Give the stochastic matrix of transitions for this process in standard form.(b) Determine the stable matrix.(c) What is the probability that the particle will end up at 0 if it starts at 2?(d) What is the probability that the particle will end up at 0 if it starts at 1?
What will be an ideal response?