Solve the equation.
= 4
A. - 
B. 
C. - 
, 
D. - 
, 
Answer: D
Mathematics
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Find the center of mass of a thin plate covering the given region with the given density function.The region between the x-axis and the curve y = 
, 1 ? x ? 2, with density ?(x) = 
A. 
= 
, 
= 
B. 
= 
, 
= 1
C. 
= 
, 
= 
D. 
= 
, 
= 
Mathematics
Find all the second order partial derivatives of the given function.f(x, y) = xy2 + yex2 + 5
A. 
= 2yex2(1 + 2x2); 
= 2x; 
= 
= 2y + 2xex2
B. 
= 2yex2; 
= 2x; 
= 
= 2y + 2xex2
C. 
= yex2(1 + 2x2); 
= x; 
= 
= y + xex2
D. 
= 2yex2; 
= 2x; 
= 
= 2xex2
Mathematics
Find the least common denominator.
, 
A. m(m - 4)2(m - 5) B. m(m + 1)(m - 5) C. m(m - 4)(m - 5) D. (m + 1)2
Mathematics
Provide an appropriate response. Find the slope of the line that passes through the points (1, 4) and (10, 7).
A. -1
B. 1
C. 
D. 3
Mathematics