Homework Help is Here – Start Your Trial Now!
Math
Calculus
(1) The number of organisms of a certain bacteria at time t can be modeled according to the function N(t) = 2500(1 + 2t²). Find the rate of change of the number.

(1) The number of organisms of a certain bacteria at time t can be modeled according to the function N(t) = 2500(1 + 2t²). Find the rate of change of the number.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 15CT
See similar textbooks
icon
Related questions
Question
Please answer all with complete solutions. this my last questions left?
Analysis: Real-Ilife Applications Derivative is defined as the rate of change of a function with respect to a variable. (1) The number of organisms of a certain bacteria at time t can be modeled according to the function N(t) = 2500(1 + 2t?). Find the rate of change of the number. (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of the buko pie is x pesos, then the number of buko pie sold each day is 1000 – x. a) Express the daily profit of the store as a function of x. b) Find the derivative of the function formed in part (a). Hint: Profit = Revenue - Cost (3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 – x. Each is bent in a shape of a square. a) Find a function that models the total area enclosed by the two squares as a function of x. b) Find the derivative of the function formed in part (a).
Transcribed Image Text:Analysis: Real-Ilife Applications Derivative is defined as the rate of change of a function with respect to a variable. (1) The number of organisms of a certain bacteria at time t can be modeled according to the function N(t) = 2500(1 + 2t?). Find the rate of change of the number. (2) A buko pie store can produce buko pie at Php95.00. It is estimated that if the selling price of the buko pie is x pesos, then the number of buko pie sold each day is 1000 – x. a) Express the daily profit of the store as a function of x. b) Find the derivative of the function formed in part (a). Hint: Profit = Revenue - Cost (3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 – x. Each is bent in a shape of a square. a) Find a function that models the total area enclosed by the two squares as a function of x. b) Find the derivative of the function formed in part (a).
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS