For 0 ≤ t ≤ 30, the rate of change of the number of mosquitoes on Tropical Island at time t days is modeled by R (t) = 3√t cos (1) mosquitoes per day. There are 1200 mosquitoes 3 on Tropical Island at time t=0. According to the model, how many mosquitoes will be on the island at time t=30? Round your answer to the nearest whole number.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
icon
Related questions
Question
For 0 ≤ t ≤ 30, the rate of change of the number of mosquitoes on Tropical Island at time t
days is modeled by R (t) = 3√t cos (1) mosquitoes per day. There are 1200 mosquitoes
3
on Tropical Island at time t=0.
According to the model, how many mosquitoes will be on the island at time t=30? Round
your answer to the nearest whole number.
Transcribed Image Text:For 0 ≤ t ≤ 30, the rate of change of the number of mosquitoes on Tropical Island at time t days is modeled by R (t) = 3√t cos (1) mosquitoes per day. There are 1200 mosquitoes 3 on Tropical Island at time t=0. According to the model, how many mosquitoes will be on the island at time t=30? Round your answer to the nearest whole number.
AI-Generated Solution
AI-generated content may present inaccurate or offensive content that does not represent bartleby’s views.
steps

Unlock instant AI solutions

Tap the button
to generate a solution

Recommended textbooks for you
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax