An open box is to be made from a square piece of cardboard, 21 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). Determine the function, V, in terms of x, that represents the volume of the box.
a. 
b. 
c. 
d. 
e. 
e.
Mathematics
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Solve the problem.Find the extreme values of 
subject to 
and 
A. Maximum: 
at 
minimum: 
at 
B. Maximum: 
at 
minimum: 
at 
C. Maximum: 
at 
minimum: 
at 
D. Maximum: 
at 
minimum: 
at 
Mathematics
Provide an appropriate response. Explain the difference in evaluating an expression with a negative base, such as (-5)3, and one with a negative exponent, such as 5-3.
What will be an ideal response?
Mathematics
Find the exact value of the expression using a sum or difference identity.cos 
A. 
B. - 
(
+ 1)
C. - 
(
- 1)
D. - 
Mathematics
Find the perfect square trinomial whose first two terms are given.x2 + 18x
A. x2 + 18x + 81 B. x2 + 18x + 18 C. x2 + 18x + 324 D. x2 + 18x + 9
Mathematics