 3.10.1: Assign variables and restate the following problem in terms of know...
 3.10.2: What is the relation between dV /dt and dr/dt if V = 4 3 r3?
 3.10.3: In Questions 3 and 4, water pours into a cylindrical glass of radiu...
 3.10.4: Restate this question in terms of dV /dt and dh/dt: At what rate is...
 3.10.5: In Exercises 58, assume that the radius r of a sphere is expanding ...
 3.10.6: In Exercises 58, assume that the radius r of a sphere is expanding ...
 3.10.7: In Exercises 58, assume that the radius r of a sphere is expanding ...
 3.10.8: In Exercises 58, assume that the radius r of a sphere is expanding ...
 3.10.9: In Exercises 912, refer to a 5m ladder sliding down a wall, as in ...
 3.10.10: In Exercises 912, refer to a 5m ladder sliding down a wall, as in ...
 3.10.11: In Exercises 912, refer to a 5m ladder sliding down a wall, as in ...
 3.10.12: In Exercises 912, refer to a 5m ladder sliding down a wall, as in ...
 3.10.13: A conical tank has height 3 m and radius 2 m at the top. Water flow...
 3.10.14: Follow the same setup as in Exercise 13, but assume that the water...
 3.10.15: The radius r and height h of a circular cone change at a rate of 2 ...
 3.10.16: A road perpendicular to a highway leads to a farmhouse located 2 km...
 3.10.17: A man of height 1.8 m walks away from a 5m lamppost at a speed of ...
 3.10.18: As Claudia walks away from a 264cm lamppost, the tip of her shadow...
 3.10.19: At a given moment, a plane passes directly above a radar station at...
 3.10.20: In the setting of Exercise 19, let be the angle that the line throu...
 3.10.21: A hot air balloon rising vertically is tracked by an observer locat...
 3.10.22: Alaser pointer is placed on a platform that rotates at a rate of 20...
 3.10.23: A rocket travels vertically at a speed of 1200 km/h. The rocket is ...
 3.10.24: Using a telescope, you track a rocket that was launched 4 km away, ...
 3.10.25: A police car traveling south toward Sioux Falls at 160 km/h pursues...
 3.10.26: A car travels down a highway at 25 m/s. An observer stands 150 m fr...
 3.10.27: In the setting of Example 5, at a certain moment, the tractors spee...
 3.10.28: Placido pulls a rope attached to a wagon through a pulley at a rate...
 3.10.29: Julian is jogging around a circular track of radius 50 m. In a coor...
 3.10.30: A particle moves counterclockwise around the ellipse with equation ...
 3.10.31: In Exercises 31 and 32, assume that the pressure P (in kilopascals)...
 3.10.32: In Exercises 31 and 32, assume that the pressure P (in kilopascals)...
 3.10.33: The base x of the right triangle in Figure 14 increases at a rate o...
 3.10.34: Two parallel paths 15 m apart run eastwest through the woods. Brook...
 3.10.35: A particle travels along a curve y = f (x) as in Figure 15. Let L(t...
 3.10.36: Let be the angle in Figure 15, where P = (x, f (x)). In the setting...
 3.10.37: A baseball player runs from home plate toward first base at 20 ft/s...
 3.10.38: Player 1 runs to first base at a speed of 20 ft/s, while Player 2 r...
 3.10.39: The conical watering pail in Figure 17 has a grid of holes. Water f...
 3.10.40: A bowl contains water that evaporates at a rate proportional to the...
 3.10.41: A roller coaster has the shape of the graph in Figure 19. Show that...
 3.10.42: Two trains leave a station at t = 0 and travel with constant veloci...
 3.10.43: As the wheel of radius r cm in Figure 20 rotates, the rod of length...
 3.10.44: A spectator seated 300 m away from the center of a circular track o...
 3.10.45: A cylindrical tank of radius R and length L lying horizontally as i...
Solutions for Chapter 3.10: Related Rates
Full solutions for Calculus: Early Transcendentals  3rd Edition
ISBN: 9781464114885
Solutions for Chapter 3.10: Related Rates
Get Full SolutionsCalculus: Early Transcendentals was written by and is associated to the ISBN: 9781464114885. This expansive textbook survival guide covers the following chapters and their solutions. Since 45 problems in chapter 3.10: Related Rates have been answered, more than 40076 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 3. Chapter 3.10: Related Rates includes 45 full stepbystep solutions.

Aphelion
The farthest point from the Sun in a planet’s orbit

Compounded annually
See Compounded k times per year.

Compounded continuously
Interest compounded using the formula A = Pert

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Domain of a function
The set of all input values for a function

Elements of a matrix
See Matrix element.

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Inverse cotangent function
The function y = cot1 x

Magnitude of a real number
See Absolute value of a real number

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Natural exponential function
The function ƒ1x2 = ex.

Ordinary annuity
An annuity in which deposits are made at the same time interest is posted.

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

Richter scale
A logarithmic scale used in measuring the intensity of an earthquake.

Scalar
A real number.

Solve a system
To find all solutions of a system.

Stretch of factor c
A transformation of a graph obtained by multiplying all the xcoordinates (horizontal stretch) by the constant 1/c, or all of the ycoordinates (vertical stretch) of the points by a constant c, c, > 1.

Trigonometric form of a complex number
r(cos ? + i sin ?)

Vertical stretch or shrink
See Stretch, Shrink.

xintercept
A point that lies on both the graph and the xaxis,.