 1.8.1: In 13, find the following: (a) f(g(x)) (b) g(f(x)) (c) f(f(x))f(x) ...
 1.8.2: In 13, find the following: (a) f(g(x)) (b) g(f(x)) (c) f(f(x))f(x) ...
 1.8.3: In 13, find the following: (a) f(g(x)) (b) g(f(x)) (c) f(f(x))f(x) ...
 1.8.4: Let f(x) = x2 and g(x) = 3x 1. Find the following: (a) f(2) + g(2) ...
 1.8.5: For g(x) = x2 + 2x + 3, find and simplify: (a) g(2 + h) (b) g(2) (c...
 1.8.6: If f(x) = x2 + 1, find and simplify: (a) f(t + 1) (b) f(t2 + 1) (c)...
 1.8.7: For the functions f and g in 710, find (a) f(g(1)) (b) g(f(1)) (c) ...
 1.8.8: For the functions f and g in 710, find (a) f(g(1)) (b) g(f(1)) (c) ...
 1.8.9: For the functions f and g in 710, find (a) f(g(1)) (b) g(f(1)) (c) ...
 1.8.10: For the functions f and g in 710, find (a) f(g(1)) (b) g(f(1)) (c) ...
 1.8.11: Use Table 1.37 to find: (a) f(g(1)) (b) g(f(1)) (c) f(g(4)) (d) g(f...
 1.8.12: Use Table 1.38 to find: (a) f(g(0)) (b) f(g(1)) (c) f(g(2)) (d) g(f...
 1.8.13: Make a table of values for each of the following functions using Ta...
 1.8.14: Use the variable u for the inside function to express each of the f...
 1.8.15: Use the variable u for the inside function to express each of the f...
 1.8.16: Simplify the quantities in 1619 using m(z) = z2. m(z + 1) m(z) 1
 1.8.17: Simplify the quantities in 1619 using m(z) = z2. m(z + h) m(z) 1
 1.8.18: Simplify the quantities in 1619 using m(z) = z2. m(z) m(z h) 1
 1.8.19: Simplify the quantities in 1619 using m(z) = z2. m(z+h)m(zh) 2
 1.8.20: For 2025, use the graphs in Figure 1.80. Estimate f(g(1)). 2
 1.8.21: For 2025, use the graphs in Figure 1.80. Estimate g(f(1)). 2
 1.8.22: For 2025, use the graphs in Figure 1.80. Estimate f(g(4)). 2
 1.8.23: For 2025, use the graphs in Figure 1.80. Estimate g(f(4)). 2
 1.8.24: For 2025, use the graphs in Figure 1.80. Estimate f(f(2)). 2
 1.8.25: For 2025, use the graphs in Figure 1.80. Estimate g(g(2)). 2
 1.8.26: For 2629, use the graphs in Figure 1.81. Estimate f(g(1)). 2
 1.8.27: For 2629, use the graphs in Figure 1.81. Estimate g(f(2)). 2
 1.8.28: For 2629, use the graphs in Figure 1.81. Estimate f(f(1)). 2
 1.8.29: For 2629, use the graphs in Figure 1.81. Estimate f(g(3)). 3
 1.8.30: Using Table 1.39, create a table of values for f(g(x)) and for g(f(...
 1.8.31: A tree of height y meters has, on average, B branches, where B = y1...
 1.8.32: In 3235, use Figure 1.82 to estimate the function value or explain ...
 1.8.33: In 3235, use Figure 1.82 to estimate the function value or explain ...
 1.8.34: In 3235, use Figure 1.82 to estimate the function value or explain ...
 1.8.35: In 3235, use Figure 1.82 to estimate the function value or explain ...
 1.8.36: The Heaviside step function, H, is graphed in Figure 1.83. Graph th...
 1.8.37: In 3742, use Figure 1.84 to graph the function. y = f(x) + 1 3
 1.8.38: In 3742, use Figure 1.84 to graph the function. y = f(x 2) 3
 1.8.39: In 3742, use Figure 1.84 to graph the function. y = 3f(x) 4
 1.8.40: In 3742, use Figure 1.84 to graph the function. y = f(x + 1) 2 4
 1.8.41: In 3742, use Figure 1.84 to graph the function. y = f(x) + 3 4
 1.8.42: In 3742, use Figure 1.84 to graph the function. y = 2f(x 1) 4
 1.8.43: For the functions f in 4345, graph: (a) f(x +2) (b) f(x 1) (c) f(x)...
 1.8.44: For the functions f in 4345, graph: (a) f(x +2) (b) f(x 1) (c) f(x)...
 1.8.45: For the functions f in 4345, graph: (a) f(x +2) (b) f(x 1) (c) f(x)...
 1.8.46: In 4651, use Figure 1.85 to graph the function. y = f(x) + 2 4
 1.8.47: In 4651, use Figure 1.85 to graph the function. y = 2f(x) 4
 1.8.48: In 4651, use Figure 1.85 to graph the function. y = f(x 1) 4
 1.8.49: In 4651, use Figure 1.85 to graph the function. y = 3f(x) 5
 1.8.50: In 4651, use Figure 1.85 to graph the function. y = 2f(x) 1 5
 1.8.51: In 4651, use Figure 1.85 to graph the function. y = 2 f(x) 5
 1.8.52: Morphine, a painrelieving drug, is administered to a patient intra...
 1.8.53: (a) Write an equation for a graph obtained by vertically stretching...
 1.8.54: The volume of the balloon t minutes after inflation began. 5
 1.8.55: The volume of the balloon if its radius were twice as big. 5
 1.8.56: The time that has elapsed when the radius of the balloon is 30 feet. 5
 1.8.57: The time that has elapsed when the volume of the balloon is 10,000 ...
Solutions for Chapter 1.8: NEW FUNCTIONS FROM OLD
Full solutions for Applied Calculus  5th Edition
ISBN: 9781118174920
Solutions for Chapter 1.8: NEW FUNCTIONS FROM OLD
Get Full SolutionsChapter 1.8: NEW FUNCTIONS FROM OLD includes 57 full stepbystep solutions. Applied Calculus was written by Patricia and is associated to the ISBN: 9781118174920. This textbook survival guide was created for the textbook: Applied Calculus, edition: 5. Since 57 problems in chapter 1.8: NEW FUNCTIONS FROM OLD have been answered, more than 7018 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions.

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

Ambiguous case
The case in which two sides and a nonincluded angle can determine two different triangles

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

Annual percentage yield (APY)
The rate that would give the same return if interest were computed just once a year

Component form of a vector
If a vector’s representative in standard position has a terminal point (a,b) (or (a, b, c)) , then (a,b) (or (a, b, c)) is the component form of the vector, and a and b are the horizontal and vertical components of the vector (or a, b, and c are the x, y, and zcomponents of the vector, respectively)

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.

Hyperboloid of revolution
A surface generated by rotating a hyperbola about its transverse axis, p. 607.

Identity
An equation that is always true throughout its domain.

Intermediate Value Theorem
If ƒ is a polynomial function and a < b , then ƒ assumes every value between ƒ(a) and ƒ(b).

Invertible linear system
A system of n linear equations in n variables whose coefficient matrix has a nonzero determinant.

Linear function
A function that can be written in the form ƒ(x) = mx + b, where and b are real numbers

Logistic growth function
A model of population growth: ƒ1x2 = c 1 + a # bx or ƒ1x2 = c1 + aekx, where a, b, c, and k are positive with b < 1. c is the limit to growth

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

Numerical model
A model determined by analyzing numbers or data in order to gain insight into a phenomenon, p. 64.

Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

Quadrant
Any one of the four parts into which a plane is divided by the perpendicular coordinate axes.

Quadratic formula
The formula x = b 2b2  4ac2a used to solve ax 2 + bx + c = 0.

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Real number
Any number that can be written as a decimal.

Upper bound for real zeros
A number d is an upper bound for the set of real zeros of ƒ if ƒ(x) ? 0 whenever x > d.
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