 3.1: Give the definition of a critical number, and graph a function / sh...
 3.2: Consider the odd function/ that is continuous, dilfcrcnliablc. and ...
 3.3: ^ In Exercises 3 and 4, I'lnd the absolute extreiiia iil the luucti...
 3.4: ^ In Exercises 3 and 4, I'lnd the absolute extreiiia iil the luucti...
 3.5: In Exercises 5 and 6. determine whether Rolle's Theorem can be appl...
 3.6: In Exercises 5 and 6. determine whether Rolle's Theorem can be appl...
 3.7: Consider the ruiiclion /(.v) = 3  [v  4. (a) Graph ihc fuiiclioi...
 3.8: Can the Mean Value Theorem be applied to the liiuclion ,/'(.v) = l/...
 3.9: In Exercises 912, find the point(s) guaranteed by the Mean Value T...
 3.10: In Exercises 912, find the point(s) guaranteed by the Mean Value T...
 3.11: In Exercises 912, find the point(s) guaranteed by the Mean Value T...
 3.12: In Exercises 912, find the point(s) guaranteed by the Mean Value T...
 3.13: For the function /(.v) = Ax + Bx + C. determine the value of c gua...
 3.14: Demonstrate the result of E.xercise 13for/(v) = 2.v ix + 1 on the...
 3.15: In Exercises I51S. find the critical numbers (if any) and the open...
 3.16: In Exercises I51S. find the critical numbers (if any) and the open...
 3.17: In Exercises I51S. find the critical numbers (if any) and the open...
 3.18: In Exercises I51S. find the critical numbers (if any) and the open...
 3.19: In Exercises 19 and 2(1, use the First Derivative lest to find any ...
 3.20: In Exercises 19 and 2(1, use the First Derivative lest to find any ...
 3.21: Harmonic Motion The height of an object attached to a spring is gi\...
 3.22: Writing The general equation giving the height of an oscillating ob...
 3.23: In Exercises 23 and 24, delermine the points of inlleetion of the f...
 3.24: In Exercises 23 and 24, delermine the points of inlleetion of the f...
 3.25: In Exercises 25 and 26. use the Second Derivative Test to find all ...
 3.26: In Exercises 25 and 26. use the Second Derivative Test to find all ...
 3.27: Think About It In Exercises 27 and 28, sketch the graph of a functi...
 3.28: Think About It In Exercises 27 and 28, sketch the graph of a functi...
 3.29: Writing A newspaper headline states that "The rate of growth of the...
 3.30: Inventory Cost The cost of inventory depends on the ordering and st...
 3.31: Modeling Data Outlays for national defense /) ( in billions of doll...
 3.32: Modeling Data The manager of a store recorded the annual sales 5 (i...
 3.33: In Exercises 3336, find the limit. lim .35. lim 2a...zr. 3a + 5
 3.34: In Exercises 3336, find the limit. hm I.;c 36. Inn 3v + 5
 3.35: In Exercises 3336, find the limit. lim 2a...zr. 3a + 5 5 cos A
 3.36: In Exercises 3336, find the limit. Inn 3v + 5 3.V
 3.37: In Exercises 37It), find any vertical and horizontal asymptotes of ...
 3.38: In Exercises 37It), find any vertical and horizontal asymptotes of ...
 3.39: In Exercises 37It), find any vertical and horizontal asymptotes of ...
 3.40: In Exercises 37It), find any vertical and horizontal asymptotes of ...
 3.41: In Exercises 41 14. use a graphinjj utility to graph the function. ...
 3.42: In Exercises 41 14. use a graphinjj utility to graph the function. ...
 3.43: In Exercises 41 14. use a graphinjj utility to graph the function. ...
 3.44: In Exercises 41 14. use a graphinjj utility to graph the function. ...
 3.45: In Exercises 4562, analyze and sketch the graph of the function. /...
 3.46: In Exercises 4562, analyze and sketch the graph of the function. f...
 3.47: In Exercises 4562, analyze and sketch the graph of the function. /...
 3.48: In Exercises 4562, analyze and sketch the graph of the function. /...
 3.49: In Exercises 4562, analyze and sketch the graph of the function. /...
 3.50: In Exercises 4562, analyze and sketch the graph of the function. /...
 3.51: In Exercises 4562, analyze and sketch the graph of the function. /...
 3.52: In Exercises 4562, analyze and sketch the graph of the function. /...
 3.53: In Exercises 4562, analyze and sketch the graph of the function. /...
 3.54: In Exercises 4562, analyze and sketch the graph of the function. f...
 3.55: In Exercises 4562, analyze and sketch the graph of the function. f...
 3.56: In Exercises 4562, analyze and sketch the graph of the function.fi...
 3.57: In Exercises 4562, analyze and sketch the graph of the function.fi...
 3.58: In Exercises 4562, analyze and sketch the graph of the function. f...
 3.59: In Exercises 4562, analyze and sketch the graph of the function.fi...
 3.60: In Exercises 4562, analyze and sketch the graph of the function./(...
 3.61: In Exercises 4562, analyze and sketch the graph of the function.f(...
 3.62: In Exercises 4562, analyze and sketch the graph of the function./'...
 3.63: Find the maxmium and minmium points on the graph of V + 4v 16v +1...
 3.64: Consider the function /(a) = a" for positive integer values of ;i. ...
 3.65: Minimum Distance At noon, ship ,4 is KM) kilometers due east of shi...
 3.66: Maximum Area Find the dimensions of the rectangle of maximum area, ...
 3.67: Minimum Length A right triangle in the first quadrant has the coord...
 3.68: Minimum Lengtii The wall of a building is to be braced by a beam th...
 3.69: Maximum Area Three sides of a trapezoid have the same length s. Of ...
 3.70: Maximum Area Show that the greatest area of any rectangle inscribed...
 3.71: Minimum Distance Find the length of the longest pipe that can be ca...
 3.72: Minimum Distance Rewiirk Exercise 7 I , given corridors of widtiis ...
 3.73: Minimum Distance A hallway of width 6 feet meets a hallway of width...
 3.74: Minimum Distance Rework Exercise 73, given that one hallway is of w...
 3.75: Minimum Cost In Kxercises 75 and 76, find the speed v, in miles per...
 3.76: Minimum Cost In Kxercises 75 and 76, find the speed v, in miles per...
 3.77: In Exercises 77 and 78. use Newton's Method to approximate any real...
 3.78: In Exercises 77 and 78. use Newton's Method to approximate any real...
 3.79: In Exercises 79 and 80, use Newton's Method to approximate, to thre...
 3.80: In Exercises 79 and 80, use Newton's Method to approximate, to thre...
 3.81: In Exercises 81 and 82, find the differential dy. y = x{ I  cos a)
 3.82: In Exercises 81 and 82, find the differential dy.y = 736  A
 3.83: Suiface Area and Volume The diameter of a sphere is measured to be ...
 3.84: Demand Function A company finds that the demand for its commodity i...
Solutions for Chapter 3: Applications of Differentation
Full solutions for Calculus of A Single Variable  7th Edition
ISBN: 9780618149162
Solutions for Chapter 3: Applications of Differentation
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Since 84 problems in chapter 3: Applications of Differentation have been answered, more than 27186 students have viewed full stepbystep solutions from this chapter. Calculus of A Single Variable was written by and is associated to the ISBN: 9780618149162. Chapter 3: Applications of Differentation includes 84 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus of A Single Variable, edition: 7.

Acute angle
An angle whose measure is between 0° and 90°

Anchor
See Mathematical induction.

Annual percentage rate (APR)
The annual interest rate

Coefficient
The real number multiplied by the variable(s) in a polynomial term

Common ratio
See Geometric sequence.

Cube root
nth root, where n = 3 (see Principal nth root),

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Graphical model
A visible representation of a numerical or algebraic model.

Linear correlation
A scatter plot with points clustered along a line. Correlation is positive if the slope is positive and negative if the slope is negative

Logarithmic reexpression of data
Transformation of a data set involving the natural logarithm: exponential regression, natural logarithmic regression, power regression

Ordered pair
A pair of real numbers (x, y), p. 12.

Perpendicular lines
Two lines that are at right angles to each other

Product rule of logarithms
ogb 1RS2 = logb R + logb S, R > 0, S > 0,

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Solve a triangle
To find one or more unknown sides or angles of a triangle

Variable
A letter that represents an unspecified number.

Weights
See Weighted mean.

xintercept
A point that lies on both the graph and the xaxis,.

Xscl
The scale of the tick marks on the xaxis in a viewing window.