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t =12.2 t =1.4 none of those t =47.4 t =3.4 PowerPoint Presentation
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t =12.2 t =1.4 none of those t =47.4 t =3.4 - PowerPoint PPT Presentation


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A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 9 hours there are 7,800 bacteria. When will the population reach 31,000? Please round your answer to the nearest tenth. t =12.2 t =1.4 none of those t =47.4 t =3.4.

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slide1

A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 9 hours there are 7,800 bacteria. When will the population reach 31,000? Please round your answer to the nearest tenth.

  • t=12.2
  • t=1.4
  • none of those
  • t=47.4
  • t=3.4
slide2

Experiments show that if the chemical reaction {image} takes place at 45 {image} C, the rate of reaction of dinitrogen pentoxide is proportional to its concentration as follows: {image} How long will the reaction take to reduce the concentration of {image} to 30% of its original value?

  • t = 1,204
  • none of those
  • t = 1,166
  • t = 2,108
  • t = 1,018
  • t = 1,338
slide3

1.

2.

3.

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5.

6.

A curve passes through the point ( 9, 9 ) and has the property that the slope of the curve at every point P is 3 times the y-coordinate P. What is the equation of the curve?

  • {image}
  • none of those
  • {image}
  • {image}
  • {image}
  • {image}
slide4

The rate of change of atmospheric pressure P with respect to altitude h is proportional to P provided that the temperature is constant. At 15 {image} C the pressure is 100.6 kPa at sea level and 89.4 kPa at h = 910. What is the pressure at an altitude of 3,800 m?

  • P = 27.9 kPa
  • P = 58.8 kPa
  • P = 66.8 kPa
  • P = 61.5 kPa
  • P = 104.5 kPa
  • none of those
slide5

Consider a population P = P(t) with constant relative birth and death rates {image} and {image} , respectively, and a constant emigration rate m, where {image} and m = 0.7. Then the rate of change of the population at time t is modeled by the differential equation {image} where {image} . Find the solution of this equation with the rate of change of the population at time t = 3 that satisfies the initial condition P(0) = 3,000.

  • 13,440.2
  • none of those
  • 16,440.2
  • 1,920.0
  • 13,449.2
  • 10,440.2