Solve the problem. Round your answer, if appropriate.Boyle's law states that if the temperature of a gas remains constant, then PV = c, where 
, 
, and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 15 in. 3/sec, at what rate is P increasing when P = 40 lb/in.2 and V = 50 in.3? (Do not round your answer.)
A. 
lb/in.2 per sec
B. 
lb/in.2 per sec
C. 
lb/in.2 per sec
D. 12 lb/in.2 per sec
Answer: D
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Solve the problem.Find the foci and asymptotes of the following hyperbola:
- 
= 1
A. Foci: (-6, 0), (6, 0); Asymptotes: y = 
x, y = - 
x
B. Foci: (-10, 0), (10, 0); Asymptotes: y = 
x, y = - 
x
C. Foci: (0, -6), (0, 6); Asymptotes: y = 
x, y = - 
x
D. Foci: (0, -10), (0, 10); Asymptotes: y = 
x, y = - 
x
Sketch the vector field in the plane along with its horizontal and vertical components at a representative assortment of points on the circle x2 + y2 = 4.F = xi - yj
What will be an ideal response?
Provide an appropriate response.Suppose that A is an m × n matrix and B is a p × q matrix. Under what conditions will the sum A + B exist?
A. If m = p and n = q B. If n = p C. It is not possible for the sum to exist. D. The sum will always exist.
The velocity of a falling object is a linear function of the time t it has been falling. If 
when 
and 
class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_e745074080f4402d8b1d6d8c5" /> when 
, express v as a function of t.
?
A. ?
B. ?
C. ?
D. 
E. ?