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CalculusCalculus (MindTap Course List)8th Edition

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Chapter 3.1, Problem 66E
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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

Solutions

Chapter
Section
Problem 1E
Problem 2E
Problem 3E
Problem 4E
Problem 5E
Problem 6E
Problem 7E
Problem 8E
Problem 9E
Problem 10E
Problem 11E
Problem 12E
Problem 13E
Problem 14E
Problem 15E
Problem 16E
Problem 17E
Problem 18E
Problem 19E
Problem 20E
Problem 21E
Problem 22E
Problem 23E
Problem 24E
Problem 25E
Problem 26E
Problem 27E
Problem 28E
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E
Problem 39E
Problem 40E
Problem 41E
Problem 42E
Problem 43E
Problem 44E
Problem 45E
Problem 46E
Problem 47E
Problem 48E
Problem 49E
Problem 50E
Problem 51E
Problem 52E
Problem 53E
Problem 54E
Problem 55E
Problem 56E
Problem 57E
Problem 58E
Problem 59E
Problem 60E
Problem 61E
Problem 62E
Problem 63E
Problem 64E
Problem 65E
Problem 66E
Problem 67E
Problem 68E
Problem 69E
Problem 70E
Problem 71E
Problem 72E
BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

On May 7, 1992, the space shuttle Endeavour was launched on mission STS-49, the purpose of which was to install a new perigee kick motor in an Intelsat communications satellite.

The table gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters.

(a) Use a graphing calculator or computer to find the cubic polynomial that best models the velocity of the shuttle for the time interval t ∈ [0, 125]. Then graph this polynomial.

(b) Find a model for the acceleration of the shuttle and use it to estimate the maximum and minimum values of the acceleration during the first 125 seconds.

Event Time (s) Velocity (ft/s)
Launch 0 0
Begin roll maneuver 10 185
End roll maneuver 15 319
Throttle to 89% 20 447
Throttle to 67 % 32 742
Throttle to 104% 59 1325
Maximum dynamic pressure 62 1445
Solid rocket booster separation 125 4151

To determine

Part (a):

To find:

Cubic polynomial that best models the velocity data of the shuttle for the time interval tϵ[0,125] by using graphing calculator or computer then graph that polynomial.

Explanation

1) Concept:

Use the graphic calculator or computer to find the best fit cubic model for the given data, and then graph that polynomial.

2) Given:

Table gives the velocity data for the shuttle:

3) Calculation:

By using the graphic calculator or computer, the best fit cubic model for the above data is

vt=0

To determine

Part (b):

To find:

Find a model for the acceleration of the shuttle, and use it to estimate the maximum and minimum values of the acceleration during the first 125 seconds.

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Determining Differentiability In Exercises 85-88, find the derivatives from the left and from the right at x=1 ...

Calculus: Early Transcendental Functions (MindTap Course List)

In Exercises 9 to 18, find the areas of the figures shown or described. A rectangles length is 6cm and its widt...

Elementary Geometry for College Students

In Exercises 23-30, use logarithms to solve the equation for t. 2e0.2t4=6

Finite Mathematics for the Managerial, Life, and Social Sciences

Using Lagrange Multipliers In Exercises 310, use Lagrange Multipliers to find the indicated extrema, assuming t...

Calculus

Evaluating a Double Integral In Exercises 15 and 16, set up integrals for both orders of integration. Use the m...

Multivariable Calculus

Using the Integral Test In Exercises 29-32, use the Integral Test to determine the convergence or divergence of...

Calculus (MindTap Course List)

Give as much information as you can about the P-value for an upper-tailed F test in each of the following situa...

Introduction To Statistics And Data Analysis

Each year Forbes ranks the worlds most valuable brands. A portion of the data for 82 of the brands in the 2013 ...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

In exercise 4, the following estimated regression equation relating sales to inventory investment and advertisi...

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

Express the following decimal numbers as binary numbers. 0.5

Mathematics For Machine Technology

Using PsycINFO (or a similar database), find five articles on the topic of preschool daycare and social anxiety...

Research Methods for the Behavioral Sciences (MindTap Course List)

Practice Use a graphical calculator to solve each equation. If an answer is not exact, give the result to the n...

College Algebra (MindTap Course List)

Under what circumstances is a stratified random sample preferred to a simple random sample?

Research Methods for the Behavioral Sciences (MindTap Course List)

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