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CalculusCalculus (MindTap Course List)8th Edition

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Chapter 2.3, Problem 96E
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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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Problem 1E
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Problem 28E
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Problem 77E
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Problem 81E
Problem 82E
Problem 83E
Problem 84E
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Problem 88E
Problem 89E
Problem 90E
Problem 91E
Problem 92E
Problem 93E
Problem 94E
Problem 95E
Problem 96E
Problem 97E
Problem 98E
Problem 99E
Problem 100E
Problem 101E
Problem 102E
Problem 103E
Problem 104E
Problem 105E
Problem 106E
Problem 107E
Problem 108E
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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem
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The biomass B(t) of a fish population is the total mass of the members of the population at time t. It is the product of the number of individuals N(t) in the population and the average mass M(t) of a fish at time t. In the case of guppies, breeding occurs continually. Suppose that at time t = 4 weeks the population is 820 guppies and is growing at a rate of 50 guppies per week, while the average mass is 1.2 g and is increasing at a rate of 0.14 g/week. At what rate is the biomass increasing when t = 4 ?

To determine

To find:

At what rate the biomass increasing when t = 4

Explanation

Concept used:

Product rule: If f and g are both differentiable, then

ddxfxgx=fxddxgx+gxddxfx

Given:

Bt=Nt*Mt,  Nt=820,  Mt= 1.2,  N't=50, M't=0.14

Calculation:

Biomass B(t) of a fish population is product of M(t) and N(t). So Bt=Nt*Mt

For time t = 4 weeks, the information provided in the question is,

 Nt=820,  Mt= 1

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Single Variable Calculus

In Exercises 21-24, find the distance between the given points. 23. (1, 3) and (4, 9)

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

27 Archaeology: Hopi Village Thickness measurements of ancient prehistoric Native American pot shards discovere...

Understanding Basic Statistics

In Exercises 3148, (a) factor the given expression, and (b) set the expression equal to zero and solve for the ...

Finite Mathematics

Consider the following information about travelers on vacation (based partly on a recent Travelocity poll): 40%...

Probability and Statistics for Engineering and the Sciences

Find the length of the radius of the inscribed circle for a right triangle whose legs measure 6 and 8.

Elementary Geometry For College Students, 7e

Fill in each blank: 5lb3oz=oz

Elementary Technical Mathematics

Use two disjoint sets other than the set of even natural numbers and the set of odd natural numbers to show tha...

Mathematical Excursions (MindTap Course List)

30. If the instantaneous rate of change of g(x) at (- 1, -2) is 1/2, write the equation of the line tangent to ...

Mathematical Applications for the Management, Life, and Social Sciences

For Problems 43-50, replace each question mark to make the given statement an application of the indicated prop...

Intermediate Algebra

Using the Vertical Line Test In Exercises 47 and 48, use the Vertical Line Test to determine whether y is a fun...

Calculus of a Single Variable

Evaluate the definite integral. 013dx(1+2x)23

Single Variable Calculus: Early Transcendentals

Exercises List all elements in the group of symmetries of the given set. The letter

Elements Of Modern Algebra

Draw 45 and – 45 in standard position and then show that sin (–45) = –sin 45.

Trigonometry (MindTap Course List)

The ________ ________ separates the whole number part from the decimal part of a mixed decimal. It is read as t...

Contemporary Mathematics for Business & Consumers

True or False: If a number p is in the interval of convergence of then so is the number .

Study Guide for Stewart's Multivariable Calculus, 8th

For the family of functions f(x) = x2 ax, each function is: a) a parabola through (0, 0) and (a, 0). b) is con...

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Finding Coordinates of a Point In Exercises 9-12, find the coordinates of the point. The point is located on th...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 31 to 34, write a formal proof of each theorem or corollary. The opposite sides of a parallelogram...

Elementary Geometry for College Students

ACCESS TO CAPITAL One of the key to determinants of economic growth is access to capital. Using 54 variables to...

Finite Mathematics for the Managerial, Life, and Social Sciences

Finding the Interval of Convergence In Exercises 41-44, find the interval of convergence of the power series, w...

Calculus

Finding the Area of a Region In Exercises 37-42, use an iterated integral to find the area of the region bounde...

Calculus (MindTap Course List)

Evaluating a surface Integral In Exercise 58, evaluate S(x2y+z)dS S:z=2, x2+y21

Multivariable Calculus

What is the perimeter of the piece in this figure? Round the answer to 2 decimal places.

Mathematics For Machine Technology

In Exercises 5768, write the statement in symbolic form, construct the negation of the expression in simplified...

Mathematics: A Practical Odyssey

Practice Solve each logarithmic equation. logx+logx+21=2

College Algebra (MindTap Course List)

Explain how the process of randomly assigning participants to treatment conditions should prevent a participant...

Research Methods for the Behavioral Sciences (MindTap Course List)

A clinical researcher has developed a new test for measuring impulsiveness and would like to determine the vali...

Research Methods for the Behavioral Sciences (MindTap Course List)

To determine whether the pipe welds in a nuclear power plant meet specifications, a random sample of welds is s...

Introduction To Statistics And Data Analysis

Lawsons Department Store faces a buying decision for a seasonal product for which demand can be high, medium, o...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

A business executive, transferred from Chicago to Atlanta, needs to sell her house inChicago quickly. The execu...

Statistics for Business & Economics, Revised (MindTap Course List)

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