7.1
(Round any numbers in exponents to five decimal places. Roundall other numbers to the nearest tenth.)
Under certain conditions, the number of diseased cells N(t) at time t increases at a rate N′(t)=Aekt, where A is the rate of increase at time 0 (in cells per day) and k is a constant. a. Suppose A=60, and at 3 days, the cells are growing at a rate of 300 per day. Find a formula for the number of cells after t days, given that 400 cells are present at t=0 b. Use your answer from part a to find the number of cells present after 7 days.
The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate of change of the number of bachelor's degrees (in thousands) can be approximated by the following function where t is the number of years since 1970. B′(t)=0.0651t2−1.321t+14.76 Complete parts a. and b. below. a. Find B(t), given that about 892,100 degrees were conferred in 1970(t=0). B(t)=
7.1 (Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
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7.1 (Round any numbers in exponents to five decimal places. Round all other numbers to the nearest tenth.)
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