The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of 74.3 mm² and an observed doubling time of 22 days. (a) Lett be the time (in days) passed, and let y be the area of the sample at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = = De D₂ (b) What will the area of the sample be in 9 days? Do not round any intermediate computations, and round your answer to the nearest tenth. 2 mm 00 Olno ?

Q: Fina aly for y = 3x V3-x4

A: we have to find dy for given y

Q: Find the growth or decay rate in each equation: a) y = 1.32(1.27)x b) N = 324(.738) x c) P = 6(2.55)…

A: Given that  The following equations  Determine whether the following is exponential growth or decay

Q: Solve for x x/12.4=4ft 6in/6ft 3 in

A: 1 ft=12 inch 4 ft 6 inches =4(12)+6=54 inches 6 ft 3 inches =6(12)+3=75 inches

Q: A population of a town grows according to the law of uninhibited growth modeled by the function P(t)…

A:

Q: Water is flowing at 2.6 cm/s into a conical vase with a top radius of 26 cm and a height of 63 cm.…

A: Solution

Q: The base of a triangle is increasing at a rate of 2.6 cm/s. Its height is increasing at a rate of…

A:

Q: Sand falls from a conveyor belt at a rate of 14 m/min onto the top of a conical pile. The height of…

A:

Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

Q: A population of mites growsat a rate proportional to the number present, y. If the growthconstant is…

A: Assume population at time t is p Let f(t)=population at time t=p

Q: If we know the rate of growth of a patch of moss, how can we calculate the area the moss covers?

A: The rate of growth of a patch of moss is modeled by a complex function A't, where t is measured in…

Q: Water in a canal, 30 dm wide and 12 dm deep is flowing with vel ocity of 10 km/ha How much area will…

A:

Q: A 100-gal tank initially contains 25% dye solution. A 40% dye solution is allowed to enter at a rate…

A: Lets say there be Q gm of dye  in the tank at a time 't'

Q: Find y prime

A: