Simplify the expression.- 
(z - 16) - 
z
A. 
z - 
B. 
z + 
C. 
z + 16
D. - 
z + 
Answer: D
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Find all real solutions to the system of equations using the addition method.2x2 + y2 = 66 x2 + y2 = 41
A. (5, 4), (5, -4), (-5, 4), (-5, -4) B. (4, 5), (-4, 5), (4, -5), (-4, -5) C. (4, 5), (-4, -5) D. (5, 4), (-5, -4)
Find all the first order partial derivatives for the following function.f(x, y) = sin2 (-8xy2 - y)
A. 
= 2sin (-8xy2 - y) cos (-8xy2 - y); 
= 2sin(-8xy2 - y) cos(-8xy2 - y)
B. 
= 2sin (-8xy2 - y) cos (-8xy2 - y); 
= (-32x - 2) sin (-8xy2 - y) cos (-8xy2 - y)
C. 
= -16y2sin (-8xy2 - y) cos (-8xy2 - y); 
= (-32xy - 2) sin (-8xy2 - y) cos (-8xy2 - y)
D. 
= -16y2sin (-8xy2 - y) cos (-8xy2 - y); 
= 2sin (-8xy2 - y) cos (-8xy2 - y)
Solve the problem.The power dissipated in an electric circuit is given by the expression 
where R is the resistance of the circuit and I is the current through the circuit. For a sinusoidal alternating current, the current might be represented by the relation 
where A is the amplitude, f is the frequency, and t is time. Write an expression for P involving the sine function, and use a fundamental identity to write P in terms of the cosine function.
A. P = RA sin2(2?f t) ; P = RA - cos2(2?f t) B. P = RA2 sin2(2?f t) ; P = - RA2 cos2(2?f t) C. P = RA2 sin2(2?f t) ; P = RA2 - RA2 cos2(2?f t) D. P = RA sin2(2?f t) ; P = RA - RA cos2(2?f t)
Solve the problem.y varies directly as x and inversely as the square of z. y = 20 when x = 32 and z = 4. Find y when x = 39 and z = 5.
A. 19.5 B. 78 C. 15.6 D. 38.09