 3.7.1: Using Related Rates In Exercises 14, assume that and are both diffe...
 3.7.2: Using Related Rates In Exercises 14, assume that and are both diffe...
 3.7.3: Using Related Rates In Exercises 14, assume that and are both diffe...
 3.7.4: Using Related Rates In Exercises 14, assume that and are both diffe...
 3.7.5: Moving Point In Exercises 58, a point is moving along the graph of ...
 3.7.6: Moving Point In Exercises 58, a point is moving along the graph of ...
 3.7.7: Moving Point In Exercises 58, a point is moving along the graph of ...
 3.7.8: Moving Point In Exercises 58, a point is moving along the graph of ...
 3.7.9: Related Rates Consider the linear function If changes at a constant...
 3.7.10: Related Rates In your own words, state the guidelines for solving r...
 3.7.11: Area The radius of a circle is increasing at a rate of 4 centimeter...
 3.7.12: Area The included angle of the two sides of constant equal length o...
 3.7.13: Volume The radius of a sphere is increasing at a rate of 3 inches p...
 3.7.14: Volume A spherical balloon is inflated with gas at the rate of 800 ...
 3.7.15: Volume All edges of a cube are expanding at a rate of 6 centimeters...
 3.7.16: Surface Area All edges of a cube are expanding at a rate of 6 centi...
 3.7.17: Volume At a sand and gravel plant, sand is falling off a conveyor a...
 3.7.18: Depth A conical tank (with vertex down) is 10 feet across the top a...
 3.7.19: Depth A swimming pool is 12 meters long, 6 meters wide, 1 meter dee...
 3.7.20: Depth A trough is 12 feet long and 3 feet across the top (see figur...
 3.7.21: Moving Ladder A ladder 25 feet long is leaning against the wall of ...
 3.7.22: Construction A construction worker pulls a fivemeter plank up the ...
 3.7.23: Construction A winch at the top of a 12meter building pulls a pipe...
 3.7.24: Boating A boat is pulled into a dock by means of a winch 12 feet ab...
 3.7.25: Air Traffic Control An air traffic controller spots two planes at t...
 3.7.26: Air Traffic Control An airplane is flying at an altitude of 5 miles...
 3.7.27: Sports A baseball diamond has the shape of a square with sides 90 f...
 3.7.28: Sports For the baseball diamond in Exercise 27, suppose the player ...
 3.7.29: Shadow Length A man 6 feet tall walks at a rate of 5 feet per secon...
 3.7.30: Shadow Length Repeat Exercise 29 for a man 6 feet tall walking at a...
 3.7.31: Machine Design The endpoints of a movable rod of length 1 meter hav...
 3.7.32: Machine Design Repeat Exercise 31 for a position function of Use th...
 3.7.33: Evaporation As a spherical raindrop falls, it reaches a layer of dr...
 3.7.34: Electricity The combined electrical resistance of two resistors and...
 3.7.35: Adiabatic Expansion When a certain polyatomic gas undergoes adiabat...
 3.7.36: Roadway Design Cars on a certain roadway travel on a circular arc o...
 3.7.37: Angle of Elevation A balloon rises at a rate of 4 meters per second...
 3.7.38: Angle of Elevation An airplane flies at an altitude of 5 miles towa...
 3.7.39: Relative Humidity When the dewpoint is Fahrenheit, the relative hum...
 3.7.40: Linear vs. Angular Speed A patrol car is parked 50 feet from a long...
 3.7.41: Linear vs. Angular Speed A wheel of radius 30 centimeters revolves ...
 3.7.42: Flight Control An airplane is flying in still air with an airspeed ...
 3.7.43: Security Camera A security camera is centered 50 feet above a 100f...
 3.7.44: HOW DO YOU SEE IT? Using the graph of (a) determine whether is posi...
 3.7.45: Find the acceleration of the top of the ladder described in Exercis...
 3.7.46: Find the acceleration of the boat in Exercise 24(a) when there is a...
 3.7.47: Think About It Describe the relationship between the rate of change...
 3.7.48: Moving Shadow A ball is dropped from a height of 20 meters, 12 mete...
 3.7.49: Geometry Consider the rectangle shown in the figure. (a) Find the a...
Solutions for Chapter 3.7: Related Rates
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 3.7: Related Rates
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. Since 49 problems in chapter 3.7: Related Rates have been answered, more than 43615 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. Chapter 3.7: Related Rates includes 49 full stepbystep solutions.

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

Complex fraction
See Compound fraction.

Continuous function
A function that is continuous on its entire domain

Direct variation
See Power function.

Exponential growth function
Growth modeled by ƒ(x) = a ? b a > 0, b > 1 .

Factoring (a polynomial)
Writing a polynomial as a product of two or more polynomial factors.

Focal axis
The line through the focus and perpendicular to the directrix of a conic.

Initial side of an angle
See Angle.

kth term of a sequence
The kth expression in the sequence

Line of travel
The path along which an object travels

Objective function
See Linear programming problem.

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Origin
The number zero on a number line, or the point where the x and yaxes cross in the Cartesian coordinate system, or the point where the x, y, and zaxes cross in Cartesian threedimensional space

Orthogonal vectors
Two vectors u and v with u x v = 0.

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

Present value of an annuity T
he net amount of your money put into an annuity.

Projection of u onto v
The vector projv u = au # vƒvƒb2v

Reciprocal identity
An identity that equates a trigonometric function with the reciprocal of another trigonometricfunction.

Sequence of partial sums
The sequence {Sn} , where Sn is the nth partial sum of the series, that is, the sum of the first n terms of the series.

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>.