Solve the problem.Find the center of mass of the rectangular solid of density 
defined by 
, 
, 
.
A. 
= 
, 
= 2, 
= 
B. 
= 
, 
= 
, 
= 
C. 
= 
, 
= 1, 
= 
D. 
= 
, 
= 
, 
= 
Answer: A
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x? = 3x ? 4y, y? = 4x ? 7y
Solve the first-order linear system.
Find the critical points of the function 
, and, from the form of the function, determine whether a relative maximum or a relative minimum occurs at each point.
?
A. relative minima at 
, 
, 
, where a, b, c, d, m, and n are arbitrary real numbers
B. relative maxima at 
, 
, 
, where a, b, c, d, m, and n are arbitrary real numbers
C. relative minimum at 
D. relative maximum at 
E. no relative extrema
Write an expression to state the problem and simplify.What is the sum of 4 consecutive integers if the first integer is x?
A. x + (x + 1) + (x + 2) + (x + 3); 4x + 6 B. x + x + x + x; 4x C. 4x + x; 5x D. Cannot be solved
. 
, 
, 
. Find 
.
What will be an ideal response?