Find an equation for the graph.
A. y = 2 sin 4?x
B. y = 4 sin 
x
C. y = 4 sin 2?x
D. y = 2 sin 
x
Answer: C
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Divide. Simplify, if possible.
÷ 
A. 
B. 
C. 
D. 
Solve the problem.In thermodynamics, the differential form of the internal energy of a system is dU = T dS - P dV, where U is the internal energy, T is the temperature, S is the entropy, P is the pressure, and V is the volume of the system. The First Law of Thermodynamics asserts that dU is an exact differential. Using this information, justify the thermodynamic relation 
= - 
.
What will be an ideal response?
Provide an appropriate response.A shipment of 20 digital cameras contains two that are defective. A random sample of three is selected and tested. Let X be the random variable associated with the number of defective cameras in a sample. Find the probability distribution of X and the expected number of defective cameras in a sample.
What will be an ideal response?
Solve the problem.Capital value is defined as 
where k is the annual rate of interest compounded continuously. Find the capital value of an asset that produces $5000 yearly income at 4% compounded continuously. Round to the nearest dollar.
A. $100,000 B. $150,000 C. $125,000 D. $130,000