Rationalize the denominator and simplify. Assume that variables represent positive values.
A. 
(
+ 1)
B. 
(
+ 1)
C. 
(
- 1)
D. 
(
+ 1)
Answer: D
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The position vector of a particle is r(t). Find the requested vector.The acceleration at t = 
for r(t) = (10t - 5t3)i + 2tan(3t)j + e3tk
A. a
= - 
?i - 72j + 9e1/4?k
B. a
= - 
?i - 72j + 9k
C. a
= - 
?i + 72j + 9e1/4?k
D. a
= 
?i + 72j + 9e1/4?k
Provide an appropriate response.Simplify: 
+ 
Fill in the blank(s) with the appropriate word(s).
Solve. x - y + 5z = 44x + z = 0 x + 5y + z = -20
A. (0, 0, -4) B. (0, 4, -4) C. (0, -4, 4) D. (0, -4, 0)
Solve the problem.A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. 648 feet of fencing is used. Find the dimensions of the playground that maximize the total enclosed area.
A. 81 ft by 162 ft B. 54 ft by 243 ft C. 162 ft by 162 ft D. 108 ft by 162 ft