 3.1: Explain why or why not Determine whether the following statements a...
 3.2: 25. Slopes and tangent lines from the definition f 1x2 = 4x2  7x +...
 3.3: 25. Slopes and tangent lines from the definition f 1x2 = 5x3 + x; P...
 3.4: 25. Slopes and tangent lines from the definition f 1x2 = x + 3 2x +...
 3.5: 25. Slopes and tangent lines from the definition f 1x2 = 1 223x + 1...
 3.6: Calculating average and instantaneous velocities Suppose the height...
 3.7: Population of the United States The population of the United States...
 3.8: Growth rate of bacteria Suppose the following graph represents the ...
 3.9: Velocity of a skydiver Assume the graph represents the distance (in...
 3.10: 1011. Using the definition of the derivative Use the definition of ...
 3.11: 1011. Using the definition of the derivative Use the definition of ...
 3.12: Sketching a derivative graph Sketch a graph of f _ for the function...
 3.13: Sketching a derivative graph Sketch a graph of g_ for the function ...
 3.14: Matching functions and derivatives Match the functions in ad with t...
 3.15: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.16: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.17: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.18: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.19: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.20: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.21: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.22: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.23: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.24: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.25: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.26: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.27: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.28: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.29: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.30: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.31: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.32: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.33: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.34: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.35: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.36: 1536. Evaluating derivatives Evaluate and simplify the following de...
 3.37: 3739. Implicit differentiation Calculate y1x2 for the following rel...
 3.38: 3739. Implicit differentiation Calculate y1x2 for the following rel...
 3.39: 3739. Implicit differentiation Calculate y1x2 for the following rel...
 3.40: Quadratic functions a. Show that if 1a, f 1a22 is any point on the ...
 3.41: 4144. Tangent lines Find an equation of the line tangent to the fol...
 3.42: 4144. Tangent lines Find an equation of the line tangent to the fol...
 3.43: 4144. Tangent lines Find an equation of the line tangent to the fol...
 3.44: 4144. Tangent lines Find an equation of the line tangent to the fol...
 3.45: Horizontal/vertical tangent lines For what value(s) of x is the lin...
 3.46: A parabola property Let f 1x2 = x2. a. Show that f 1x2  f 1y2 x  ...
 3.47: 4748. Higherorder derivatives Find y, y, and y for the following f...
 3.48: 4748. Higherorder derivatives Find y, y, and y for the following f...
 3.49: 4952. Derivative formulas Evaluate the following derivatives. Expre...
 3.50: 4952. Derivative formulas Evaluate the following derivatives. Expre...
 3.51: 4952. Derivative formulas Evaluate the following derivatives. Expre...
 3.52: 4952. Derivative formulas Evaluate the following derivatives. Expre...
 3.53: Finding derivatives from a table Find the values of the following d...
 3.54: 5455. Limits The following limits represent the derivative of a fun...
 3.55: 5455. Limits The following limits represent the derivative of a fun...
 3.56: 5657. Derivative of the inverse at a point Consider the following f...
 3.57: 5657. Derivative of the inverse at a point Consider the following f...
 3.58: 5859. Derivative of the inverse Find the derivative of the inverse ...
 3.59: 5859. Derivative of the inverse Find the derivative of the inverse ...
 3.60: A function and its inverse function The function f 1x2 = x x + 1 is...
 3.61: Derivative of the inverse in two ways Let f 1x2 = sin x, f 1 1x2 =...
 3.62: 6263. Derivatives from a graph If possible, evaluate the following ...
 3.63: 6263. Derivatives from a graph If possible, evaluate the following ...
 3.64: Velocity of a probe A small probe is launched vertically from the g...
 3.65: Marginal and average cost Suppose the cost of producing x lawn mowe...
 3.66: Marginal and average cost Suppose a company produces fly rods. Assu...
 3.67: Population growth Suppose p1t2 = 1.7t3 + 72t2 + 7200t + 80,000 is ...
 3.68: Position of a piston The distance between the head of a piston and ...
 3.69: Boat rates Two boats leave a dock at the same time. One boat travel...
 3.70: Rate of inflation of a balloon A spherical balloon is inflated at a...
 3.71: Rate of descent of a hotair balloon A rope is attached to the bott...
 3.72: Filling a tank Water flows into a conical tank at a rate of 2 ft3>m...
 3.73: Angle of elevation A jet flies horizontally 500 ft directly above a...
 3.74: Viewing angle A man whose eye level is 6 ft above the ground walks ...
Solutions for Chapter 3: Calculus: Early Transcendentals 2nd Edition
Full solutions for Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321947345
Solutions for Chapter 3
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 2. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321947345. Chapter 3 includes 74 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 74 problems in chapter 3 have been answered, more than 57303 students have viewed full stepbystep solutions from this chapter.

Acceleration due to gravity
g ? 32 ft/sec2 ? 9.8 m/sec

Binomial probability
In an experiment with two possible outcomes, the probability of one outcome occurring k times in n independent trials is P1E2 = n!k!1n  k2!pk11  p) nk where p is the probability of the outcome occurring once

Closed interval
An interval that includes its endpoints

Compounded monthly
See Compounded k times per year.

Domain of validity of an identity
The set of values of the variable for which both sides of the identity are defined

Histogram
A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

Identity function
The function ƒ(x) = x.

Inverse cosecant function
The function y = csc1 x

kth term of a sequence
The kth expression in the sequence

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

Linear programming problem
A method of solving certain problems involving maximizing or minimizing a function of two variables (called an objective function) subject to restrictions (called constraints)

Multiplication principle of probability
If A and B are independent events, then P(A and B) = P(A) # P(B). If Adepends on B, then P(A and B) = P(AB) # P(B)

Multiplicative inverse of a matrix
See Inverse of a matrix

Parametric curve
The graph of parametric equations.

Product of complex numbers
(a + bi)(c + di) = (ac  bd) + (ad + bc)i

Projectile motion
The movement of an object that is subject only to the force of gravity

Transverse axis
The line segment whose endpoints are the vertices of a hyperbola.

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

Vector equation for a line in space
The line through P0(x 0, y0, z0) in the direction of the nonzero vector V = <a, b, c> has vector equation r = r0 + tv , where r = <x,y,z>.

Zoom out
A procedure of a graphing utility used to view more of the coordinate plane (used, for example, to find theend behavior of a function).