Surface area of bubble-changing at instant of time


Assignment:

Please show all woCarlos is blowing air into a soap bubble at the rate of 7 cm3/sec. Assuming that the bubble is spherical, how fast is its radius changing at the instant of time when the radius is 11 cm?
cm/sec.

How fast is the surface area of the bubble changing at that instant of time?
cm2/sec.

The Millers are planning to buy a home in the near future and estimate that they will need a 30 yr fixed-rate mortgage for $120,000. Their monthly payment P (in dollars) can be computed using the following formula where r is the interest rate per year.

(a) Find the differential of P.

(b) If the interest rate increases from the present rate of 5% per year to the following amounts between now and the time the Millers decide to secure the loan, approximately how much more will their monthly payment be?
5.2% per yr : $
5.3% per yr : $
5.4% per yr : $
5.5% per yr : $rk.

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Mathematics: Surface area of bubble-changing at instant of time
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