Provide an appropriate response.An economy is based on two sectors, agriculture and manufacturing. Production of a dollar's worth of agriculture requires an input of $0.40 from agriculture and $0.10 from manufacturing. Production of a dollar's worth of manufacturing requires an input of $0.20 from agriculture and $0.30 from manufacturing. Find the output for each sector that is needed to satisfy a final demand of $16 billion for agriculture and $32 billion for manufacturing.
A. $44 billion agriculture, $52 billion manufacturing
B. $56 billion agriculture, $36 billion manufacturing
C. $52 billion agriculture, $44 billion manufacturing
D. $36 billion agriculture, $56 billion manufacturing
Answer: A
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Use integration by parts to establish a reduction formula for the integral.
, n ? 1
A. 
= 
cotn-1 x - 
B. 
= 
cotn-2 x - 
C. 
= - cotn-1 x + 
D. 
= 
cotn-1 x + 
Find the partial derivative of the dependent variable or function with respect to each of the independent variables.f(x, y) = x3 - 5x2y - 4xy3
A. 
= 3x2 + 2xy - 4y3; 
= -5x2 + 3xy2
B. 
= 3x2; 
= -5x2 - 12xy2
C. 
= 3x2 - 10xy - 4y3; 
= -5x2 - 12xy2
D. 
= x2 - 5xy - 4y3; 
= -5x2 - 4xy2
Find log 3.5 × 10-2.
A. -1.46 B. -0.54 C. 0.54 D. 1.46
Without graphing the function, determine its amplitude or period as requested.y = 4 sin 
xFind the amplitude.
A. 4
B. 
C. 6?
D. 