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?ft) ; P = RA - RA cos2(2?ft)
B. P = RA2 sin2(2?ft) ; P = - RA2 cos2(2?ft)
C. P = RA2 sin2(2?ft) ; P = RA2 - RA2 cos2(2?ft)
D. P = RA sin2(2?ft) ; P = RA - cos2(2?ft)
Answer: C
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Determine the values of x for which the function, as represented by the graph, is continuous. If the function is not continuous, determine the reason.
A. Not continuous at x = 4; function not defined B. Not continuous at x = 4, x = 6; function not defined C. Not continuous at x = 4; small change D. Continuous for all x
Use the compound interest formula to compute the total amount accumulated.$4000 for 3 years at 2% compounded annually
A. $4244.83 B. $4161.60 C. $4240.00 D. $4160.00
Provide an appropriate response.Divide and round the answer to the nearest whole number.
A. 4,402.1025 B. 4,400 C. 5,000 D. 4,402
Graph the rational function.f(x) =
A.
B.
C.
D.