Find the open interval(s) where the function is changing as requested.Increasing; y = 
A. (-1, ?)
B. (-?, 0)
C. (0, ?)
D. none
Answer: C
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Determine which, if any, of the three statements are equivalent.I) If it is sunny and the pool is open, then I will go swimming.II) If I do not go swimming, then it it is not the case that it is sunny or the pool is open.III) It is sunny and the pool is open, or I will go swimming.
A. I, II and III are equivalent B. II and III are equivalent C. I and III are equivalent D. None are equivalent
Determine the appropriate rotation formulas to use so that the new equation contains no xy-term.10x2 - 4xy + 6y2 - 8x + 8y = 0
A. x = 
(x' - y') and y = 
(x' + y')
B. x = 
x' - 
y' and y = 
x' + 
y'
C. x = 
x' - 
y' and y = 
x' + 
y'
D. x = -y' and y = x'
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)
Determine if the ordered pair is a solution to the given inequality.x + 2y > -6; (-6, 3)
A. Yes B. No