Calculus and Its Applications (11th Edition)
Calculus and Its Applications (11th Edition)
11th Edition
ISBN: 9780321979391
Author: Marvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent
Publisher: PEARSON
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Concept explainers

Minimization
In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in ter…
Maxima and Minima
The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.
Derivatives
A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which …
Concavity
In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the …
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Chapter PSDT, Problem 5BP

A function f is given by f ( x ) = 3 x 2 − 2 x + 8 . Find each of the following f ( 0 ) , f ( − 5 ) ,  and  f ( 7 a ) .

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Chapter PSDT Solutions

Calculus and Its Applications (11th Edition)

Ch. PSDT - Express each of the following without an...Ch. PSDT - Express each of the following without an...Ch. PSDT - Express each of the following without an...Ch. PSDT - Prob. 4APCh. PSDT - Express each of the following without an exponent....Ch. PSDT - Prob. 6APCh. PSDT - Prob. 7APCh. PSDT - Prob. 8APCh. PSDT - Prob. 9APCh. PSDT - Multiply. Express each answer without a negative...
Ch. PSDT - Multiply. Express each answer without a negative...Ch. PSDT - Divide. Express each answer without a negative...Ch. PSDT - Prob. 13APCh. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Multiply. 3(x5)Ch. PSDT - Multiply. (x5)(x+3)Ch. PSDT - Multiply. 18. Ch. PSDT - Prob. 19APCh. PSDT - Multiply. 20. Ch. PSDT - Prob. 21APCh. PSDT - Factor. x26xy+9y2Ch. PSDT - Factor. 23. Ch. PSDT - Factor. 6x2+7x5Ch. PSDT - Factor. 25. Ch. PSDT - Solve. 26. Ch. PSDT - Solve. 27. Ch. PSDT - Solve. 28. Ch. PSDT - Solve. 29. Ch. PSDT - Solve. 30. Ch. PSDT - Solve. 31. After a 5% gain in weight, a grizzly...Ch. PSDT - Solve. Raggs, Ltd., a clothing firm, determines...Ch. PSDT - Graph. y=2x+1Ch. PSDT - Prob. 2BPCh. PSDT - Prob. 3BPCh. PSDT - Prob. 4BPCh. PSDT - A function f is given by f(x)=3x22x+8. Find each...Ch. PSDT - A function f is given by f(x)=(x+3)24. Find all x...Ch. PSDT - Prob. 7BPCh. PSDT - Write interval notation for {x| 4x5}.Ch. PSDT - 9. Find the domain Ch. PSDT - 10. Find the slope and y-intercept of Ch. PSDT - 11. Find an equation of the line that has slope 3...Ch. PSDT - 12. Find the slope of the line containing the...Ch. PSDT - Prob. 13BPCh. PSDT - Graph. 14. Ch. PSDT - Graph. f(x)=1xCh. PSDT - Graph. 16. Ch. PSDT - Graph. f(x)=xCh. PSDT - 18. Suppose that $1000 is invested at 5%,...

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Locating critical points Find the critical points of the following functions. Assume a is a nonzero constant. 3...

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Graph.

Precalculus

Find the slopes of the following lines. The line going through the points (2,5)and(2,8).

Calculus & Its Applications (14th Edition)

Derivatives Find and simplify the derivative of the following functions. 23. f(t)=t5/3et

Calculus: Early Transcendentals (3rd Edition)

The intercepts of the equation 9 x 2 +4y=36 are ______. (pp.18-19)

Precalculus Enhanced with Graphing Utilities (7th Edition)

Other techniques Evaluate the following limits, where a and b are fixed real numbers. 49. limxaxaxa,a0

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Finding Local Maxima and Minima by Differentiation; Author: Professor Dave Explains;https://www.youtube.com/watch?v=pvLj1s7SOtk;License: Standard YouTube License, CC-BY