MATH

A population of insects increases at a rate of 250 + 16t +0.3t^2 insects per day. Find the insect population after 3 days, assuming that there are 40 insects at t=0.

  1. 👍
  2. 👎
  3. 👁
  1. d(Insects)/dt = 250 + 16t + .3t^2

    so Insects = 250t + 8t^2 + .1t^3 + c
    when t=0, Insects = 40, so c = 40

    Insects = 250t + 8t^2 + .1t^3 + 40

    when t = 3
    Insects = 750 + 72 + 2.7 + 40
    = appr 865

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Insects have 6 legs, and spiders have 8 legs. What is the least number of insects and the least number of spiders possible so that each group has the same number of legs?

  2. math

    Of all the species in the world, 4 out of every 5 are insects. What percentage of species are insects?

  3. Calculus

    1. Calculate the population within a 7-mile radius of the city center if the radial population density is ρ(r) = 5(5 + r2)1/3 (in thousands per square mile). (Round your answer to two decimal places.) 2. A population of insects

  4. math

    10.For each of these sets of premises, what relevant conclusion or conclusions can be drawn? Explain the rules of inference used to obtain each conclusion from the premises. a)"if I play hockey, then i am sore the next day.""I use

  1. English/Grammar

    Having trouble finding the simple predicates in the follwing sentences.. 1.They have destroyed some buildings. 2.The insects bodies can turn wood into food. 3.The insects damage property. 4. These insects eat wood. 5. Most of the

  2. Algebra

    A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double? 2.5 days 5.0 days 46.6 days 66.7 days

  3. Biology

    Suppose that a species of toads is introduced into a new environment in an attempt to reduce the population of insects. The toad has no natural predators in the new environment. The toad population would most likely? A)increase

  4. Grammar

    What is simple predicate? These insects are strange and amazing creatures. Would it be are?

  1. english

    Choose the word needing an apostrophe or an apostrophe and an s. If the sentences is correct, choose no error. 1. Why havent you dotted your j’s? haven’t **** j’s’ no error 2. Ounce for ounce, humans aren’t as strong as

  2. survey of economics

    When the price of paper increases from ​$150 to ​$155per​ ton, the quantity supplied increases from 250 to 280 tons per day. The price elasticity of supply is 0.250.25. ​(Enter your response rounded to two decimal​

  3. math

    The population of a town increases at the rate of 40 per thousand. Its population after 2 years will be 6084. Find its present population

  4. math

    in Austin, Texas, 8 bats ate 40 grams of insects in one night, how many grams of insects could 64 bats eat in one night?

You can view more similar questions or ask a new question.