 3.4.1: In Exercises 16, find two positive numbers satisfying the given req...
 3.4.2: In Exercises 16, find two positive numbers satisfying the given req...
 3.4.3: In Exercises 16, find two positive numbers satisfying the given req...
 3.4.4: In Exercises 16, find two positive numbers satisfying the given req...
 3.4.5: In Exercises 16, find two positive numbers satisfying the given req...
 3.4.6: In Exercises 16, find two positive numbers satisfying the given req...
 3.4.7: What positive number minimizes the sum of and its reciprocal?
 3.4.8: The difference of two numbers is 50. Find the two numbers such that...
 3.4.9: In Exercises 9 and 10, find the length and width of a rectangle tha...
 3.4.10: In Exercises 9 and 10, find the length and width of a rectangle tha...
 3.4.11: In Exercises 11 and 12, find the length and width of the rectangle ...
 3.4.12: In Exercises 11 and 12, find the length and width of the rectangle ...
 3.4.13: Maximum Area A rancher has 200 feet of fencing to enclose two adjac...
 3.4.14: Area A dairy farmer plans to enclose a rectangular pasture adjacent...
 3.4.15: Maximum Volume (a) Verify that each of the rectangular solids shown...
 3.4.16: Maximum Volume Determine the dimensions of a rectangular solid (wit...
 3.4.17: Maximum Area A Norman window is constructed by adjoining a semicirc...
 3.4.18: Volume An open box is to be made from a sixinch by sixinch square...
 3.4.19: Volume An open box is to be made from a twofoot by threefoot rect...
 3.4.20: Minimum Surface Area A net enclosure for golf practice is open at o...
 3.4.21: Gardening A home gardener estimates that if she plants 16 apple tre...
 3.4.22: Area A rectangular page is to contain 36 square inches of print. Th...
 3.4.23: Area A rectangular page is to contain 30 square inches of print. Th...
 3.4.24: Maximum Area A rectangle is bounded by the and axes and the graph o...
 3.4.25: Minimum Length A right triangle is formed in the first quadrant by ...
 3.4.26: Maximum Area A rectangle is bounded by the xaxis and the semicircl...
 3.4.27: Area Find the dimensions of the largest rectangle that can be inscr...
 3.4.28: Volume You are designing a soft drink container that has the shape ...
 3.4.29: Volume Find the volume of the largest right circular cylinder that ...
 3.4.30: Maximum Volume Find the volume of the largest right circular cone t...
 3.4.31: In Exercises 31 and 32, find the points on the graph of the functio...
 3.4.32: In Exercises 31 and 32, find the points on the graph of the functio...
 3.4.33: Maximum Volume A rectangular package to be sent by a postal service...
 3.4.34: Minimum Surface Area A solid is formed by adjoining two hemispheres...
 3.4.35: Minimum Area The combined perimeter of a circle and a square is 16....
 3.4.36: Minimum Area The combined perimeter of an equilateral triangle and ...
 3.4.37: Minimum Time You are in a boat 2 miles from the nearest point on th...
 3.4.38: Maximum Area An indoor physical fitness room consists of a rectangu...
 3.4.39: Farming A strawberry farmer will receive $4 per bushel of strawberr...
 3.4.40: Beam Strength A wooden beam has a rectangular cross section of heig...
 3.4.41: Maximum Area Use a graphing utility to graph the primary equation a...
 3.4.42: Area Four feet of wire is to be used to form a square and a circle....
Solutions for Chapter 3.4: Optimization Problems
Full solutions for Brief Calculus: An Applied Approach  7th Edition
ISBN: 9780618547197
Solutions for Chapter 3.4: Optimization Problems
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Brief Calculus: An Applied Approach , edition: 7. Chapter 3.4: Optimization Problems includes 42 full stepbystep solutions. Since 42 problems in chapter 3.4: Optimization Problems have been answered, more than 22618 students have viewed full stepbystep solutions from this chapter. Brief Calculus: An Applied Approach was written by and is associated to the ISBN: 9780618547197.

Addition property of inequality
If u < v , then u + w < v + w

Annuity
A sequence of equal periodic payments.

Conditional probability
The probability of an event A given that an event B has already occurred

Dependent variable
Variable representing the range value of a function (usually y)

Equivalent systems of equations
Systems of equations that have the same solution.

Horizontal component
See Component form of a vector.

Minute
Angle measure equal to 1/60 of a degree.

Obtuse triangle
A triangle in which one angle is greater than 90°.

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

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

Ordered set
A set is ordered if it is possible to compare any two elements and say that one element is “less than” or “greater than” the other.

Parallelogram representation of vector addition
Geometric representation of vector addition using the parallelogram determined by the position vectors.

Phase shift
See Sinusoid.

Row echelon form
A matrix in which rows consisting of all 0’s occur only at the bottom of the matrix, the first nonzero entry in any row with nonzero entries is 1, and the leading 1’s move to the right as we move down the rows.

Series
A finite or infinite sum of terms.

Shrink of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal shrink) by the constant 1/c or all of the ycoordinates (vertical shrink) by the constant c, 0 < c < 1.

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

Solution of a system in two variables
An ordered pair of real numbers that satisfies all of the equations or inequalities in the system

Solve an equation or inequality
To find all solutions of the equation or inequality

Xmax
The xvalue of the right side of the viewing window,.