Write the equation of a sine function that has the given characteristics.The graph of y = , shifted 5 units to the left

A. y = 
B. y = 
C. y =  - 5
D. y =  + 5


Answer: A

Mathematics

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Solve the problem.Suppose that R ={(x, y): 0 ? x ? 7, 0 ? y ? 7},R1 = {(x, y): 0 ? x ? 7, 0 ? y ? 6}, andR2 = {(x, y): 0 ? x ? 7, 6 ? y ? 7}. Suppose, in addition, thatdA = 7, dA = 9, and dA = 2.Use the properties of integrals to evaluate dA.

A. 9 B. 18 C. 11 D. 7

Mathematics

A value of sinh x or cosh x is given. Use the definitions and the identity  to find the value of the other indicated hyperbolic function.sinh x = - , cosh x =

A. - 
B.  
C.  
D.  

Mathematics

Solve the problem.The total solar radiation H (in W/m2) on a particular surface during an average clear day in one U.S. city is given by H =  where t is the number of hours from noon. Find a general expression for the instantaneous rate of change of H with respect to t.

A. - 
B. - 
C. - 
D. - 

Mathematics

Provide an appropriate response.If you pay $5,500 for a simple interest note that will be worth $6,000 in 21 months, what annual simple interest rate will you earn? (Compute the answer to one decimal place.)

Fill in the blank(s) with the appropriate word(s).

Mathematics