 2.3.1: The distance to the ground, D, in feet, of a skydiver is a function...
 2.3.2: The cost, C, of a steak, in dollars, is a function of the weight, W...
 2.3.3: The number, N, of gallons of gas left in a gas tank is a function o...
 2.3.4: An employees pay, P, in dollars, for aweek is a function of the num...
 2.3.5: The time for a chemical reaction, T (in minutes), is a function of ...
 2.3.6: An economist is interested in how the price of a certain item affec...
 2.3.7: The cost, C = f(w), in dollars of buying a chemical is a function o...
 2.3.8: Figure 2.28 shows world solar energy output, in megawatts, as a fun...
 2.3.9: When you breathe, a muscle (called the diaphragm) reduces the press...
 2.3.10: On May 9, 2007, CBS Evening News had a 4.3 point rating. (Ratings m...
 2.3.11: A yam has just been taken out of the oven and is cooling off before...
 2.3.12: Let f(x) be the elevation in feet of the Mississippi River x miles ...
 2.3.13: Meteorologists define the temperature lapse rate to be dT/dz where ...
 2.3.14: Investing $1000 at an annual interest rate of r%, compounded contin...
 2.3.15: Table 2.8 shows world gold production,12 G = f(t), as a function of...
 2.3.16: The average weight, W, in pounds, of an adult is a function, W = f(...
 2.3.17: The cost, C (in dollars), to produce g gallons of a chemical can be...
 2.3.18: Let G be annual US government purchases, T be annual US tax revenue...
 2.3.19: The weight, W, in lbs, of a child is a function of its age, a, in y...
 2.3.20: A recent study reports that men who retired late developed Alzheime...
 2.3.21: The thickness, P, inmm, of pelican eggshells depends on the concent...
 2.3.22: Suppose that f(t) is a function with f(25) = 3.6 and f(25) = 0.2. E...
 2.3.23: For a function f(x), we know that f(20) = 68 and f(20) = 3. Estimat...
 2.3.24: (a) What are the units of g(24)? (b) What is the biological meaning...
 2.3.25: (a) Which is greater, g(20) or g(36)? (b) What does your answer say...
 2.3.26: Is the instantaneous weight growth rate greater or less than the av...
 2.3.27: Estimate (a) g(20) (b) g(36) (c) The average rate of change of weig...
 2.3.28: Annual net sales, in billion of dollars, for the Hershey Company, t...
 2.3.29: For some painkillers, the size of the dose, D, given depends on the...
 2.3.30: US meat14 production, M = f(t), in millions of metric tons, is a fu...
 2.3.31: The quantity, Q mg, of nicotine in the body t minutes after a cigar...
 2.3.32: A mutual fund is currently valued at $80 per share and its value pe...
 2.3.33: Figure 2.30 shows how the contraction velocity, v(x), of a muscle c...
 2.3.34: Figure 2.31 shows how the pumping rate of a persons heart changes a...
 2.3.35: Suppose C(r) is the total cost of paying off a car loan borrowed at...
 2.3.36: Which is being consumed at a greater rate, fat or protein, during t...
 2.3.37: The fat storage graph is linear for the first four weeks. What does...
 2.3.38: Estimate the rate of fat consumption after (a) 3weeks (b) 6weeks (c...
 2.3.39: What seems to happen during the sixth week? Why do you think this h...
 2.3.40: Figure 2.33 shows the derivatives of the protein and fat storage fu...
 2.3.41: A person with a certain liver disease first exhibits larger and lar...
 2.3.42: A companys revenue from car sales, C (in thousands of dollars), is ...
 2.3.43: A company making solar panels spends x dollars on materials, and th...
 2.3.44: For a new type of biofuel, scientists estimate that it takes A = f(...
 2.3.45: In 2011, the Greenland Ice Sheet was melting at a rate between 82 a...
 2.3.46: The area of Brazils rain forest, R = f(t), in million acres, is a f...
 2.3.47: The number of active Facebook users hit 175 million at the end of F...
 2.3.48: Estimate the relative rate of change of f(t) = t2 at t = 4. Use t =...
 2.3.49: Estimate the relative rate of change of f(t) = t2 at t = 10. Use t ...
 2.3.50: The world population in billions is predicted to be approximately P...
 2.3.51: The weight, w, in kilograms, of a baby is a function f(t) of her ag...
 2.3.52: Downloads of Apple Apps, D = g(t), in billions of downloads from iT...
 2.3.53: The number of barrels of oil produced from North Dakota oil wells i...
 2.3.54: During the 1970s and 1980s, the buildup of chlorofluorocarbons (CFC...
Solutions for Chapter 2.3: INTERPRETATIONS OF THE DERIVATIVE
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 2.3: INTERPRETATIONS OF THE DERIVATIVE
Get Full SolutionsChapter 2.3: INTERPRETATIONS OF THE DERIVATIVE includes 54 full stepbystep solutions. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. Since 54 problems in chapter 2.3: INTERPRETATIONS OF THE DERIVATIVE have been answered, more than 11320 students have viewed full stepbystep solutions from this chapter.

Angular speed
Speed of rotation, typically measured in radians or revolutions per unit time

Cycloid
The graph of the parametric equations

Doubleangle identity
An identity involving a trigonometric function of 2u

Equivalent vectors
Vectors with the same magnitude and direction.

Imaginary axis
See Complex plane.

Infinite sequence
A function whose domain is the set of all natural numbers.

Law of sines
sin A a = sin B b = sin C c

Limit at infinity
limx: qƒ1x2 = L means that ƒ1x2 gets arbitrarily close to L as x gets arbitrarily large; lim x: q ƒ1x2 means that gets arbitrarily close to L as gets arbitrarily large

Mathematical model
A mathematical structure that approximates phenomena for the purpose of studying or predicting their behavior

n factorial
For any positive integer n, n factorial is n! = n.(n  1) . (n  2) .... .3.2.1; zero factorial is 0! = 1

Outliers
Data items more than 1.5 times the IQR below the first quartile or above the third quartile.

Position vector of the point (a, b)
The vector <a,b>.

Reflection across the xaxis
x, y and (x,y) are reflections of each other across the xaxis.

Root of a number
See Principal nth root.

Solution of an equation or inequality
A value of the variable (or values of the variables) for which the equation or inequality is true

Speed
The magnitude of the velocity vector, given by distance/time.

Variation
See Power function.

Vector
An ordered pair <a, b> of real numbers in the plane, or an ordered triple <a, b, c> of real numbers in space. A vector has both magnitude and direction.

Weighted mean
A mean calculated in such a way that some elements of the data set have higher weights (that is, are counted more strongly in determining the mean) than others.

Xscl
The scale of the tick marks on the xaxis in a viewing window.
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