 5.4.1: In 14, explain in words what the integral represents and give units...
 5.4.2: In 14, explain in words what the integral represents and give units...
 5.4.3: In 14, explain in words what the integral represents and give units...
 5.4.4: In 14, explain in words what the integral represents and give units...
 5.4.5: Oil leaks out of a tanker at a rate of r = f(t) gallons per minute,...
 5.4.6: Pollution is removed from a lake on day t at a rate of f(t) kg/day....
 5.4.7: Annual coal production in the US (in billion tons per year) is give...
 5.4.8: The following table gives the US emissions, H(t), of hydrofluorocar...
 5.4.9: World annual natural gas8 consumption, N, in millions of metric ton...
 5.4.10: Solar photovoltaic (PV) cells are the worlds fastestgrowing energy ...
 5.4.11: 1114 show the velocity, in cm/sec, of a particle moving along a num...
 5.4.12: 1114 show the velocity, in cm/sec, of a particle moving along a num...
 5.4.13: 1114 show the velocity, in cm/sec, of a particle moving along a num...
 5.4.14: 1114 show the velocity, in cm/sec, of a particle moving along a num...
 5.4.15: Your velocity is v(t) = ln(t2+1) ft/sec for t in seconds, 0 t 3. Fi...
 5.4.16: Figure 5.48 shows the length growth rate of a human fetus. (a) What...
 5.4.17: A forest fire covers 2000 acres at time t = 0. The fire is growing ...
 5.4.18: Water is pumped out of a holding tank at a rate of 5 5e0.12t liters...
 5.4.19: With t in seconds, the velocity of an object is v(t) = 10 + 8t t2 m...
 5.4.20: A bungee jumper leaps off the starting platform at time t = 0 and r...
 5.4.21: After a foreign substance is introduced into the blood, the rate at...
 5.4.22: Figure 5.49 gives your velocity during a trip starting from home. P...
 5.4.23: A bicyclist pedals along a straight road with velocity, v, given in...
 5.4.24: Figure 5.51 shows the rate of growth of two trees. If the two trees...
 5.4.25: (a) Write each of the following areas in Figure 5.52 from 2000 to 2...
 5.4.26: Decide when the value of the fund is projected to be a maximum usin...
 5.4.27: Express the projected increase in value of the fund from 2000 to 20...
 5.4.28: The rates of consumption of stores of protein and fat in the human ...
 5.4.29: Figure 5.55 shows the number of sales per month made by two salespe...
 5.4.30: The birth rate, B, in births per hour, of a bacteria population is ...
 5.4.31: Height velocity graphs are used by endocrinologists to follow the p...
 5.4.32: (a) If the body is bled 2 liters, how much blood is pumped during t...
 5.4.33: (a) If the body is bled 1 liter, how much blood is pumped during th...
 5.4.34: The amount of waste a company produces, W, in tons per week, is app...
 5.4.35: Figure 5.59 shows plasma concentration curves for two drugs used to...
 5.4.36: Figure 5.60 compares the concentration in blood plasma for two pain...
 5.4.37: Draw plasma concentration curves for two drugs A and B if product A...
 5.4.38: A twoday environmental cleanup started at 9 am on the first day. T...
 5.4.39: Suppose in that the workers were paid $10 per hour for work during ...
 5.4.40: At the site of a spill of radioactive iodine, radiation levels were...
 5.4.41: If you jump out of an airplane and your parachute fails to open, yo...
 5.4.42: The Montgolfier brothers (Joseph and Etienne) were eighteenthcentu...
Solutions for Chapter 5.4: INTERPRETATIONS OF THE DEFINITE INTEGRAL
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 5.4: INTERPRETATIONS OF THE DEFINITE INTEGRAL
Get Full SolutionsApplied Calculus was written by and is associated to the ISBN: 9781118174920. Chapter 5.4: INTERPRETATIONS OF THE DEFINITE INTEGRAL includes 42 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Since 42 problems in chapter 5.4: INTERPRETATIONS OF THE DEFINITE INTEGRAL have been answered, more than 35145 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5.

Associative properties
a + (b + c) = (a + b) + c, a(bc) = (ab)c.

Bounded above
A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

Degree of a polynomial (function)
The largest exponent on the variable in any of the terms of the polynomial (function)

Determinant
A number that is associated with a square matrix

equation of an ellipse
(x  h2) a2 + (y  k)2 b2 = 1 or (y  k)2 a2 + (x  h)2 b2 = 1

Graphical model
A visible representation of a numerical or algebraic model.

Leading coefficient
See Polynomial function in x

Leibniz notation
The notation dy/dx for the derivative of ƒ.

Length of a vector
See Magnitude of a vector.

Limit
limx:aƒ1x2 = L means that ƒ(x) gets arbitrarily close to L as x gets arbitrarily close (but not equal) to a

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

Logarithm
An expression of the form logb x (see Logarithmic function)

Logistic regression
A procedure for fitting a logistic curve to a set of data

NDER ƒ(a)
See Numerical derivative of ƒ at x = a.

Pointslope form (of a line)
y  y1 = m1x  x 12.

Power rule of logarithms
logb Rc = c logb R, R 7 0.

Quadratic regression
A procedure for fitting a quadratic function to a set of data.

Rational expression
An expression that can be written as a ratio of two polynomials.

Reciprocal function
The function ƒ(x) = 1x

Zero factor property
If ab = 0 , then either a = 0 or b = 0.