 4.1: In Exercises 18, find the absolute extrema of the function on the c...
 4.2: In Exercises 18, find the absolute extrema of the function on the c...
 4.3: In Exercises 18, find the absolute extrema of the function on the c...
 4.4: In Exercises 18, find the absolute extrema of the function on the c...
 4.5: In Exercises 18, find the absolute extrema of the function on the c...
 4.6: In Exercises 18, find the absolute extrema of the function on the c...
 4.7: In Exercises 18, find the absolute extrema of the function on the c...
 4.8: In Exercises 18, find the absolute extrema of the function on the c...
 4.9: In Exercises 912, determine whether Rolles Theorem can be applied t...
 4.10: In Exercises 912, determine whether Rolles Theorem can be applied t...
 4.11: In Exercises 912, determine whether Rolles Theorem can be applied t...
 4.12: In Exercises 912, determine whether Rolles Theorem can be applied t...
 4.13: In Exercises 1318, determine whether the Mean Value Theorem can be ...
 4.14: In Exercises 1318, determine whether the Mean Value Theorem can be ...
 4.15: In Exercises 1318, determine whether the Mean Value Theorem can be ...
 4.16: In Exercises 1318, determine whether the Mean Value Theorem can be ...
 4.17: In Exercises 1318, determine whether the Mean Value Theorem can be ...
 4.18: In Exercises 1318, determine whether the Mean Value Theorem can be ...
 4.19: Can the Mean Value Theorem be applied to the function on the interv...
 4.20: (a) For the function determine the value of guaranteed by the Mean ...
 4.21: In Exercises 2128, identify the open intervals on which the functio...
 4.22: In Exercises 2128, identify the open intervals on which the functio...
 4.23: In Exercises 2128, identify the open intervals on which the functio...
 4.24: In Exercises 2128, identify the open intervals on which the functio...
 4.25: In Exercises 2128, identify the open intervals on which the functio...
 4.26: In Exercises 2128, identify the open intervals on which the functio...
 4.27: In Exercises 2128, identify the open intervals on which the functio...
 4.28: In Exercises 2128, identify the open intervals on which the functio...
 4.29: In Exercises 2936, (a) find the critical numbers of (if any), (b) f...
 4.30: In Exercises 2936, (a) find the critical numbers of (if any), (b) f...
 4.31: In Exercises 2936, (a) find the critical numbers of (if any), (b) f...
 4.32: In Exercises 2936, (a) find the critical numbers of (if any), (b) f...
 4.33: In Exercises 2936, (a) find the critical numbers of (if any), (b) f...
 4.34: In Exercises 2936, (a) find the critical numbers of (if any), (b) f...
 4.35: In Exercises 2936, (a) find the critical numbers of (if any), (b) f...
 4.36: In Exercises 2936, (a) find the critical numbers of (if any), (b) f...
 4.37: In Exercises 37 42, find the points of inflection and discuss the c...
 4.38: In Exercises 37 42, find the points of inflection and discuss the c...
 4.39: In Exercises 37 42, find the points of inflection and discuss the c...
 4.40: In Exercises 37 42, find the points of inflection and discuss the c...
 4.41: In Exercises 37 42, find the points of inflection and discuss the c...
 4.42: In Exercises 37 42, find the points of inflection and discuss the c...
 4.43: In Exercises 43 48, find all relative extrema. Use the Second Deriv...
 4.44: In Exercises 43 48, find all relative extrema. Use the Second Deriv...
 4.45: In Exercises 43 48, find all relative extrema. Use the Second Deriv...
 4.46: In Exercises 43 48, find all relative extrema. Use the Second Deriv...
 4.47: In Exercises 43 48, find all relative extrema. Use the Second Deriv...
 4.48: In Exercises 43 48, find all relative extrema. Use the Second Deriv...
 4.49: In Exercises 49 and 50, sketch the graph of a function having the g...
 4.50: In Exercises 49 and 50, sketch the graph of a function having the g...
 4.51: A newspaper headline states that The rate of growth of the national...
 4.52: The cost of inventory depends on the ordering and storage costs acc...
 4.53: Outlays for national defense (in billions of dollars) for selected ...
 4.54: The time (in minutes) for a small plane to climb to an altitude of ...
 4.55: In Exercises 5564, find the limit.
 4.56: In Exercises 5564, find the limit.
 4.57: In Exercises 5564, find the limit.
 4.58: In Exercises 5564, find the limit.
 4.59: In Exercises 5564, find the limit.
 4.60: In Exercises 5564, find the limit.
 4.61: In Exercises 5564, find the limit.
 4.62: In Exercises 5564, find the limit.
 4.63: In Exercises 5564, find the limit.
 4.64: In Exercises 5564, find the limit.
 4.65: In Exercises 6572, use a graphing utility to graph the function and...
 4.66: In Exercises 6572, use a graphing utility to graph the function and...
 4.67: In Exercises 6572, use a graphing utility to graph the function and...
 4.68: In Exercises 6572, use a graphing utility to graph the function and...
 4.69: In Exercises 6572, use a graphing utility to graph the function and...
 4.70: In Exercises 6572, use a graphing utility to graph the function and...
 4.71: In Exercises 6572, use a graphing utility to graph the function and...
 4.72: In Exercises 6572, use a graphing utility to graph the function and...
 4.73: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.74: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.75: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.76: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.77: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.78: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.79: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.80: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.81: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.82: In Exercises 7382, analyze and sketch a graph of the function. Labe...
 4.83: A rancher has 400 feet of fencing with which to enclose two adjacen...
 4.84: Find the dimensions of the rectangle of maximum area, with sides pa...
 4.85: A right triangle in the first quadrant has the coordinate axes as s...
 4.86: The wall of a building is to be braced by a beam that must pass ove...
 4.87: A meteorologist measures the atmospheric pressure (in kilograms per...
 4.88: Consider the function for positive integer values of (a) For what v...
 4.89: Find the length of the longest pipe that can be carried level aroun...
 4.90: A hallway of width 6 feet meets a hallway of width 9 feet at right ...
 4.91: Find the volume of the largest right circular cone that can be insc...
 4.92: Find the volume of the largest right circular cylinder that can be ...
 4.93: In Exercises 93 and 94, use the information to evaluate and compare...
 4.94: In Exercises 93 and 94, use the information to evaluate and compare...
 4.95: In Exercises 95 and 96, find the differential of the given function.
 4.96: In Exercises 95 and 96, find the differential of the given function.
 4.97: The radius of a sphere is measured as 9 centimeters, with a possibl...
 4.98: A company finds that the demand for its commodity is where is the p...
 4.99: The profit for a company is where is sales. Approximate the change ...
Solutions for Chapter 4: Applications of Differentiation
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 4: Applications of Differentiation
Get Full SolutionsSince 99 problems in chapter 4: Applications of Differentiation have been answered, more than 45568 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 4: Applications of Differentiation includes 99 full stepbystep solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6.

Bias
A flaw in the design of a sampling process that systematically causes the sample to differ from the population with respect to the statistic being measured. Undercoverage bias results when the sample systematically excludes one or more segments of the population. Voluntary response bias results when a sample consists only of those who volunteer their responses. Response bias results when the sampling design intentionally or unintentionally influences the responses

Circle graph
A circular graphical display of categorical data

Directed line segment
See Arrow.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Geometric series
A series whose terms form a geometric sequence.

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Instantaneous rate of change
See Derivative at x = a.

Logarithmic regression
See Natural logarithmic regression

Maximum rvalue
The value of r at the point on the graph of a polar equation that has the maximum distance from the pole

Median (of a data set)
The middle number (or the mean of the two middle numbers) if the data are listed in order.

Negative association
A relationship between two variables in which higher values of one variable are generally associated with lower values of the other variable.

Newton’s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Opens upward or downward
A parabola y = ax 2 + bx + c opens upward if a > 0 and opens downward if a < 0.

Polynomial function
A function in which ƒ(x)is a polynomial in x, p. 158.

Powerreducing identity
A trigonometric identity that reduces the power to which the trigonometric functions are raised.

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Radicand
See Radical.

RRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the righthand end point of each subinterval.

Statistic
A number that measures a quantitative variable for a sample from a population.

Whole numbers
The numbers 0, 1, 2, 3, ... .