 4.1: In Exercises 16, you start with 500 items. How many do you have aft...
 4.2: In Exercises 16, you start with 500 items. How many do you have aft...
 4.3: In Exercises 16, you start with 500 items. How many do you have aft...
 4.4: In Exercises 16, you start with 500 items. How many do you have aft...
 4.5: In Exercises 16, you start with 500 items. How many do you have aft...
 4.6: In Exercises 16, you start with 500 items. How many do you have aft...
 4.7: Find a formula for P = f(t), the size of a population that begins i...
 4.8: Without a calculator or computer, match each exponential formula to...
 4.9: A quantity increases from 10 to 12. By what percent has it increase...
 4.10: Determine whether the function whose values are in Table 4.16 could...
 4.11: In 1114, could the function be linear or exponential or is it neith...
 4.12: In 1114, could the function be linear or exponential or is it neith...
 4.13: In 1114, could the function be linear or exponential or is it neith...
 4.14: In 1114, could the function be linear or exponential or is it neith...
 4.15: In 2010, the cost of a train ticket from Boston to New York was $95...
 4.16: . Radioactive gallium67 decays by 1.48% every hour; there are 100 ...
 4.17: A bank pays interest at the nominal rate of 4.2% per year. What is ...
 4.18: Explain the difference between linear and exponential growth. That ...
 4.19: In 1924, find formulas for the exponential functions satisfying the...
 4.20: In 1924, find formulas for the exponential functions satisfying the...
 4.21: In 1924, find formulas for the exponential functions satisfying the...
 4.22: In 1924, find formulas for the exponential functions satisfying the...
 4.23: In 1924, find formulas for the exponential functions satisfying the...
 4.24: In 1924, find formulas for the exponential functions satisfying the...
 4.25: Suppose f(3) = 5/8 and f(2) = 20. Find a formula for f assuming it ...
 4.26: For 2631, find formulas for the exponential functions.
 4.27: For 2631, find formulas for the exponential functions.
 4.28: For 2631, find formulas for the exponential functions.
 4.29: For 2631, find formulas for the exponential functions.
 4.30: For 2631, find formulas for the exponential functions.
 4.31: For 2631, find formulas for the exponential functions.
 4.32: Find possible formulas for the functions in Figure 4.42.
 4.33: Let P(t) be the population of a country, in millions, t years after...
 4.34: A population has size 100 at time t = 0, with t in years. (a) If th...
 4.35: Find the limits in 3540.lim x 257(0.93)x
 4.36: Find the limits in 3540.lim t 5.3e 0.12t
 4.37: Find the limits in 3540.lim x (15 5e3x)
 4.38: Find the limits in 3540.lim t (21(1.2)t + 5.1)
 4.39: Find the limits in 3540.lim x (7.2 2e 3x)
 4.40: Find the limits in 3540.lim x (5e7x + 1.5)
 4.41: In 1940, there were about 10 brown tree snakes per square mile on t...
 4.42: A 2010 Lexus LS costs $64,680. 24 Assume that the car depreciates a...
 4.43: Table 4.17 gives the approximate number of cell phone subscribers, ...
 4.44: Find the annual growth rates of a quantity which: (a) Doubles in si...
 4.45: In 4548, graph f(x), a function defined for all real numbers and sa...
 4.46: In 4548, graph f(x), a function defined for all real numbers and sa...
 4.47: In 4548, graph f(x), a function defined for all real numbers and sa...
 4.48: In 4548, graph f(x), a function defined for all real numbers and sa...
 4.49: The functions f(x)=( 1 2 ) x and g(x)=1/x are similar in that they ...
 4.50: In 5051, graph the function to find horizontal asymptotes.f(x)=8 2x
 4.51: In 5051, graph the function to find horizontal asymptotes.f(x)=3x2 + 2
 4.52: Without making any calculations, briefly describe the following inv...
 4.53: Without making any calculations, briefly describe in words what the...
 4.54: Without a calculator, match each of the following formulas to one o...
 4.55: If t is in years, the formulas for dollar balances of two different...
 4.56: Accion is a nonprofit microlending organization which makes small ...
 4.57: Write p(x) = 7e6x e (2ex) 1 10e4x in the form p(x) = aex. All const...
 4.58: In 5859, write each function in standard form. Note that one of the...
 4.59: In 5859, write each function in standard form. Note that one of the...
 4.60: 6061 concern ISO A and Bseries paper, commonly used in many count...
 4.61: 6061 concern ISO A and Bseries paper, commonly used in many count...
 4.62: The figure gives graphs of two functions, f and g. Explain why not ...
 4.63: Write a paragraph that compares the function f(x) = ax, where a > 1...
 4.64: 6467 use Figure 4.43, which shows f(x) = abx and g(x) = cdx on thre...
 4.65: 6467 use Figure 4.43, which shows f(x) = abx and g(x) = cdx on thre...
 4.66: 6467 use Figure 4.43, which shows f(x) = abx and g(x) = cdx on thre...
 4.67: 6467 use Figure 4.43, which shows f(x) = abx and g(x) = cdx on thre...
 4.68: On November 27, 1993, the New York Times reported that wildlife bio...
 4.69: (a) Using a computer or calculator, graph f(x)=2x. (b) Find the slo...
 4.70: Sales of energyefficient compact fluorescent lamps in China have b...
 4.71: Find possible formulas for the functions in 7173.V gives the value ...
 4.72: Find possible formulas for the functions in 7173.The exponential fu...
 4.73: Find possible formulas for the functions in 7173.The linear functio...
 4.74: An investment worth V = $2500 in year t = 0 earns 4.2% annual inter...
 4.75: A population is represented by P = 12,000e0.122t . Give the values ...
 4.76: This problem uses a calculator or computer to explore graphically t...
 4.77: Hong Kong shifted from British to Chinese rule in 1997. Figure 4.44...
 4.78: Before the AIDS epidemic, Botswana31 had a rapidly growing populati...
 4.79: 7980 use Figure 4.45, where t0 is the tcoordinate of the point of ...
 4.80: 7980 use Figure 4.45, where t0 is the tcoordinate of the point of ...
 4.81: It is a welldocumented fact that the earning power of men is highe...
 4.82: According to a letter to the New York Times on April 10, 1993, ... ...
 4.83: Pure water is not perfectly clearit has a bluish cast because it ab...
 4.84: Pure water is not perfectly clearit has a bluish cast because it ab...
Solutions for Chapter 4: EXPONENTIAL FUNCTIONS
Full solutions for Functions Modeling Change: A Preparation for Calculus  4th Edition
ISBN: 9780470484753
Solutions for Chapter 4: EXPONENTIAL FUNCTIONS
Get Full SolutionsChapter 4: EXPONENTIAL FUNCTIONS includes 84 full stepbystep solutions. Functions Modeling Change: A Preparation for Calculus was written by and is associated to the ISBN: 9780470484753. This textbook survival guide was created for the textbook: Functions Modeling Change: A Preparation for Calculus , edition: 4. This expansive textbook survival guide covers the following chapters and their solutions. Since 84 problems in chapter 4: EXPONENTIAL FUNCTIONS have been answered, more than 25143 students have viewed full stepbystep solutions from this chapter.

Compounded continuously
Interest compounded using the formula A = Pert

Divergence
A sequence or series diverges if it does not converge

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Histogram
A graph that visually represents the information in a frequency table using rectangular areas proportional to the frequencies.

Horizontal shrink or stretch
See Shrink, stretch.

Horizontal translation
A shift of a graph to the left or right.

Length of a vector
See Magnitude of a vector.

Logarithmic form
An equation written with logarithms instead of exponents

Newtonâ€™s law of cooling
T1t2 = Tm + 1T0  Tm2ekt

Observational study
A process for gathering data from a subset of a population through current or past observations. This differs from an experiment in that no treatment is imposed.

Open interval
An interval that does not include its endpoints.

Pythagorean
Theorem In a right triangle with sides a and b and hypotenuse c, c2 = a2 + b2

Rectangular coordinate system
See Cartesian coordinate system.

Rigid transformation
A transformation that leaves the basic shape of a graph unchanged.

Semiperimeter of a triangle
Onehalf of the sum of the lengths of the sides of a triangle.

Tangent
The function y = tan x

Unit circle
A circle with radius 1 centered at the origin.

Velocity
A vector that specifies the motion of an object in terms of its speed and direction.

ycoordinate
The directed distance from the xaxis xzplane to a point in a plane (space), or the second number in an ordered pair (triple), pp. 12, 629.

yintercept
A point that lies on both the graph and the yaxis.