Provide an appropriate response.Verify the identity using the definitions of hyperbolic functions. coth x = 
What will be an ideal response?
coth x = 
= 
? 
= 
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Solve the problem.After retirement, Kelly's company offers her two options for receiving her retirement pension. According the the first plan, she will receive monthly payments from a variable annuity that initially pays 
per month then decreases each month at a rate of 
per month per year. Optionally, she may choose a plan that pays her a fixed amount of 
per month for the rest of her life. The monthly payments for the two plans are illustrated in the graph
below. After how many years does the variable plan pay less per month than the fixed plan?
A. 9 years
B. 8 years
C. Up to 8 years
D. The variable plan always pays less.
Perform the indicated clock arithmetic.(-9) ? (-7) (12-hr clock)
A. 8 B. Does not exist C. 7 D. 12
Solve the problem.A charter flight charges a fare of $210 per person plus $5 per person for each unsold seat on the plane. If the plane holds 142 passengers and if x represents the number of unsold seats, an expression for the total revenue received for the flight is 
Determine the number of unsold seats that will produce the maximum revenue.
A. 45 B. 100 C. 50 D. 55
An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Function z = 3x + 5yConstraints x ? 0 y ? 0 2x + y ? 15 x - 3y ? -3
A. Maximum 75; at (0, 15) B. Maximum 38; at (6, 4) C. Maximum 33; at (6, 3) D. Maximum 22.5; at (7.5, 0)