Find the area enclosed by the given curves.Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the curve 
and the x-axis.
A. 
B. 
C. 
D. 6
Answer: C
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Find 
and 
.f(x, y) = sin2 (2xy2 - y)
A. 
= 4y2sin (2xy2 - y) cos (2xy2 - y); 
= 2sin (2xy2 - y) cos (2xy2 - y)
B. 
= 2sin (2xy2 - y) cos (2xy2 - y); 
= (8x - 2) sin (2xy2 - y) cos (2xy2 - y)
C. 
= 2sin (2xy2 - y) cos (2xy2 - y); 
= 2sin(2xy2 - y) cos(2xy2 - y)
D. 
= 4y2sin (2xy2 - y) cos (2xy2 - y); 
= (8xy - 2) sin (2xy2 - y) cos (2xy2 - y)
Calculate the arc length of the indicated portion of the curve r(t).r(t) = (7 + 2t2)i + (2t2 - 5)j + (5 - t2)k, -1 ? t ? 4
A. 51 B. 153 C. 135 D. 45
Solve. Give your answer as a mixed numeral.There are 4 apple trees in a yard. The apples from each tree are picked and weighed. The results are given in the following graph:
Find the average weight.
A. 26
lb
B. 21
lb
C. 21
lb
D. 21
lb
Solve.In a large city, 0.581 of the budget went toward city workers' salaries. Write this decimal as a percent.
A. 581% B. 0.0581% C. 0.581% D. 58.1%