 3.1: Find the local and absolute extreme values of the function on the g...
 3.2: Find the local and absolute extreme values of the function on the g...
 3.3: Find the local and absolute extreme values of the function on the g...
 3.4: Find the local and absolute extreme values of the function on the g...
 3.5: Find the local and absolute extreme values of the function on the g...
 3.6: Find the local and absolute extreme values of the function on the g...
 3.7: Find the limit
 3.8: Find the limit
 3.9: Find the limit
 3.10: Find the limit
 3.11: Find the limit
 3.12: Find the limit
 3.13: Sketch the graph of a function that satisfies the given conditions
 3.14: Sketch the graph of a function that satisfies the given conditions
 3.15: Sketch the graph of a function that satisfies the given conditions
 3.16: The figure shows the graph of the derivative of a function . (a) On...
 3.17: Use the guidelines of Section 3.5 to sketch the curve.
 3.18: Use the guidelines of Section 3.5 to sketch the curve.
 3.19: Use the guidelines of Section 3.5 to sketch the curve.
 3.20: Use the guidelines of Section 3.5 to sketch the curve.
 3.21: Use the guidelines of Section 3.5 to sketch the curve.
 3.22: Use the guidelines of Section 3.5 to sketch the curve.
 3.23: Use the guidelines of Section 3.5 to sketch the curve.
 3.24: Use the guidelines of Section 3.5 to sketch the curve.
 3.25: Use the guidelines of Section 3.5 to sketch the curve.
 3.26: Use the guidelines of Section 3.5 to sketch the curve.
 3.27: Use the guidelines of Section 3.5 to sketch the curve.
 3.28: Use the guidelines of Section 3.5 to sketch the curve.
 3.29: Produce graphs of that reveal all the important aspects of the curv...
 3.30: Produce graphs of that reveal all the important aspects of the curv...
 3.31: Produce graphs of that reveal all the important aspects of the curv...
 3.32: Produce graphs of that reveal all the important aspects of the curv...
 3.33: Show that the equation has exactly one real root
 3.34: Suppose that is continuous on , and
 3.35: By applying the Mean Value Theorem to the function on the interval ...
 3.36: For what values of the constants and is a point of inflection of th...
 3.37: Let , where is twice differentiable for all , for all , and is conc...
 3.38: Find two positive integers such that the sum of the first number an...
 3.39: Show that the shortest distance from the point to the straight line is
 3.40: Find the point on the hyperbola that is closest to the poin
 3.41: Find the smallest possible area of an isosceles triangle that is ci...
 3.42: Find the volume of the largest circular cone that can be inscribed ...
 3.43: In , lies on , , cm, and cm. Where should a point be chosen on so t...
 3.44: Solve Exercise 43 when cm
 3.45: The velocity of a wave of length in deep water is where and are kno...
 3.46: A metal storage tank with volume is to be constructed in the shape ...
 3.47: A hockey team plays in an arena with a seating capacity of 15,000 s...
 3.48: A manufacturer determines that the cost of making units of a commod...
 3.49: Use Newtons method to find the root of the equation in the interval...
 3.50: Use Newtons method to find all roots of the equation correct to six...
 3.51: Use Newtons method to find the absolute maximum value of the functi...
 3.52: Use the guidelines in Section 3.5 to sketch the curve , . Use Newto...
 3.61: Use a graphing device to draw a graph of the function , , and use t...
 3.62: Investigate the family of curves given by In particular you should ...
 3.63: A canister is dropped from a helicopter m above the ground. Its par...
 3.64: In an automobile race along a straight road, car A passed car B twi...
 3.65: A rectangular beam will be cut from a cylindrical log of radius 10 ...
 3.66: If a projectile is fired with an initial velocity at an angle of in...
Solutions for Chapter 3: Single Variable Calculus 7th Edition
Full solutions for Single Variable Calculus  7th Edition
ISBN: 9780538497831
Solutions for Chapter 3
Get Full SolutionsThis textbook survival guide was created for the textbook: Single Variable Calculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Since 58 problems in chapter 3 have been answered, more than 5003 students have viewed full stepbystep solutions from this chapter. Single Variable Calculus was written by and is associated to the ISBN: 9780538497831. Chapter 3 includes 58 full stepbystep solutions.

Complex plane
A coordinate plane used to represent the complex numbers. The xaxis of the complex plane is called the real axis and the yaxis is the imaginary axis

Compounded annually
See Compounded k times per year.

Directrix of a parabola, ellipse, or hyperbola
A line used to determine the conic

Elimination method
A method of solving a system of linear equations

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Fitting a line or curve to data
Finding a line or curve that comes close to passing through all the points in a scatter plot.

Focal length of a parabola
The directed distance from the vertex to the focus.

Graph of parametric equations
The set of all points in the coordinate plane corresponding to the ordered pairs determined by the parametric equations.

Identity
An equation that is always true throughout its domain.

Implied domain
The domain of a functionâ€™s algebraic expression.

Inverse cotangent function
The function y = cot1 x

Line of symmetry
A line over which a graph is the mirror image of itself

nth power of a
The number with n factors of a , where n is the exponent and a is the base.

Placebo
In an experimental study, an inactive treatment that is equivalent to the active treatment in every respect except for the factor about which an inference is to be made. Subjects in a blind experiment do not know if they have been given the active treatment or the placebo.

Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.

Simple harmonic motion
Motion described by d = a sin wt or d = a cos wt

Slant line
A line that is neither horizontal nor vertical

Spiral of Archimedes
The graph of the polar curve.

Standard form of a polar equation of a conic
r = ke 1 e cos ? or r = ke 1 e sin ? ,

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