Find dy.y = 
A. 
dx
B. 
dx
C. 
dx
D. 
dx
Answer: B
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Find the area of the specified region.Inside the circle r = a sin? and outside the cardioid r = a(1 - sin ?), a > 0
A. 
(4? - 3
)
B. 
(2? - 3
)
C. 
(6 - ?)
D. 
(3
- ?)
Use a graphing calculator to graph the given function. Be sure to set the graphic window parameters to the given values.y = 2.1
window dimensions [xmin, xmax, ymin, ymax] = [-3, 3, 0, 14]x-scale (xscl) = 1; y-scale (yscl) = 1
A. 
B. 
C. 
D. 
Solve the problem.A dentist can sell his practice for $1,100,000 cash or for $250,000 plus $270,000 at the end of each year for 4 years. (a) Find the present value of the annuity that is offered if money is worth 8% compounded annually. (b) If she takes the $1,100,000, spends $250,000 of it, and invests the rest in a 4-year annuity at 8% compounded annually, what size annuity payment will she receive at the end of each year? (c) Which is better, taking the $250,000 and the annuity or taking the cash settlement?
A. (a) $697,533.91; (b) $255,726.92; (c) $250,000 plus the annuity has a smaller present value than $1,100,000. She should take the $250,000 plus the annuity. She should take the cash settlement. B. (a) $992,644.41; (b) $253,613.48; (c) $250,000 plus the annuity has a larger present value than $1,100,000. She should take $250,000 plus the annuity. C. (a) $894,274.25; (b) $256,632.68; (c) $250,000 plus the annuity has a larger present value than $1,100,000. She should take $250,000 plus the annuity. D. (a) $581,278.26; (b) $241,234.72; (c) $250,000 plus the annuity has a smaller present value than $1,100,000. She should take the cash settlement.
Part of $3,800 is invested at 12%, another part at 13%, and the remainder at 14%. The total yearly income from the three investments is $506. The sum of the amounts invested at 12% and 13% equals the amount invested at 14%. Determine how much is invested at each rate.
A. $1,100 at 12%, $800 at 13%, $1,900 at 14% B. $700 at 12%, $1,200 at 13%, $1,900 at 14% C. $700 at 12%, $1,900 at 13%, $1,200 at 14% D. $600 at 12%, $1,300 at 13%, $1,900 at 14% E. $800 at 12%, $1,300 at 13%, $1,700 at 14%