 3.2.1: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.2: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.3: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.4: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.5: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.6: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.7: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.8: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.9: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.10: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.11: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.12: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.13: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.14: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.15: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.16: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.17: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.18: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.19: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.20: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.21: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.22: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.23: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.24: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.25: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.26: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.27: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.28: Differentiate the functions in 128. Assume that A, B, and C are con...
 3.2.29: In 2934, find the relative rate of change, f(t)/f(t), of the functi...
 3.2.30: In 2934, find the relative rate of change, f(t)/f(t), of the functi...
 3.2.31: In 2934, find the relative rate of change, f(t)/f(t), of the functi...
 3.2.32: In 2934, find the relative rate of change, f(t)/f(t), of the functi...
 3.2.33: In 2934, find the relative rate of change, f(t)/f(t), of the functi...
 3.2.34: In 2934, find the relative rate of change, f(t)/f(t), of the functi...
 3.2.35: For f(t) = 42et, find f(1), f(0), and f(1). Graph f(t), and draw ta...
 3.2.36: Find the equation of the tangent line to the graph of y = 3x at x =...
 3.2.37: Find the equation of the tangent line to y = e2t at t = 0. Check by...
 3.2.38: Find the equation of the tangent line to f(x) = 10e0.2x at x = 4.
 3.2.39: A fish population is approximated by P(t) = 10e0.6t, where t is in ...
 3.2.40: The worlds population3 is about f(t) = 6.91e0.011t billion, where t...
 3.2.41: The demand curve for a product is given by q = f(p) = 10,000e0.25p ...
 3.2.42: The value of an automobile purchased in 2009 can be approximated by...
 3.2.43: A newDVDis available for sale in a store one week after its release...
 3.2.44: In 2009, the population of Hungary4 was approximated by P = 9.906(0...
 3.2.45: With t in years since January 1, 2010, the population P of Slim Cha...
 3.2.46: With a yearly inflation rate of 5%, prices are given by P = P0(1.05...
 3.2.47: Find the value of c in Figure 3.16, where the line l tangent to the...
 3.2.48: At a time t hours after it was administered, the concentration of a...
 3.2.49: The cost of producing a quantity, q, of a product is given by C(q) ...
 3.2.50: Carbon14 is a radioactive isotope used to date objects. If A0 repr...
 3.2.51: For the cost function C = 1000+300lnq (in dollars), find the cost a...
 3.2.52: In 2009, the population of Mexico was 111 million and growing 1.13%...
 3.2.53: In 2009, the population, P, of Indiawas 1.166 billion and growing a...
 3.2.54: (a) Find the equation of the tangent line to y = lnx at x = 1. (b) ...
 3.2.55: Find the quadratic polynomial g(x) = ax2 + bx + c which best fits t...
Solutions for Chapter 3.2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 3.2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Get Full SolutionsThis textbook survival guide was created for the textbook: Applied Calculus, edition: 5. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 3.2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS includes 55 full stepbystep solutions. Applied Calculus was written by and is associated to the ISBN: 9781118174920. Since 55 problems in chapter 3.2: EXPONENTIAL AND LOGARITHMIC FUNCTIONS have been answered, more than 35176 students have viewed full stepbystep solutions from this chapter.

Algebraic model
An equation that relates variable quantities associated with phenomena being studied

Characteristic polynomial of a square matrix A
det(xIn  A), where A is an n x n matrix

Compounded k times per year
Interest compounded using the formula A = Pa1 + rkbkt where k = 1 is compounded annually, k = 4 is compounded quarterly k = 12 is compounded monthly, etc.

Constant
A letter or symbol that stands for a specific number,

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

equation of a hyperbola
(x  h)2 a2  (y  k)2 b2 = 1 or (y  k)2 a2  (x  h)2 b2 = 1

Function
A relation that associates each value in the domain with exactly one value in the range.

Imaginary part of a complex number
See Complex number.

Law of cosines
a2 = b2 + c2  2bc cos A, b2 = a2 + c2  2ac cos B, c2 = a2 + b2  2ab cos C

Lemniscate
A graph of a polar equation of the form r2 = a2 sin 2u or r 2 = a2 cos 2u.

Line graph
A graph of data in which consecutive data points are connected by line segments

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

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

Remainder theorem
If a polynomial f(x) is divided by x  c , the remainder is ƒ(c)

Residual
The difference y1  (ax 1 + b), where (x1, y1)is a point in a scatter plot and y = ax + b is a line that fits the set of data.

RRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the righthand end point of each subinterval.

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

Symmetric property of equality
If a = b, then b = a

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.

zaxis
Usually the third dimension in Cartesian space.