To classify: the function y = π x as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Question

The tides at Cape Capstan, New Brunswick, change the depth of water in the harbor. On one day in October, the tides have a high point of approximately 10 m at 2 p.m. and a low point of 1.2 m at 8:15 p.m. Select one of the equations below that correctly describes the height of the tide (h) as a function of the number of hours after noon, t. (All times are measured as hours after noon, so 2 p.m. would be 2 and 8:15 p.m. is represented as 8.25.) Justify your choice. Show your calculations. 4л -(t – 2) |+5.6 25 - (1 +1.125) |+5.6 25 125). A. h(t) = 4.4 cos В. НО) 3 4.4sin C. h(t) = 4.4 cos D. h(t) = 4.4 sin -(t +1.125) |+5.6 12 +5.6

Answer 1

Question

Chapter 1.2, Problem 2E

a.

To determine

To classify: the function y=πx as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

b.

To determine

To classify: the function y=xπ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

c.

To determine

To classify: the function y=x2(2−x3) as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

d.

To determine

To classify: the function y=tant−cost as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

e.

To determine

To classify: the function y=s1+s as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

f.

To determine

To classify: the function y=x3−11+x3 as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

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The tides at Cape Capstan, New Brunswick, change the depth of water in the harbor. On one day in October, the tides have a high point of approximately 10 m at 2 p.m. and a low point of 1.2 m at 8:15 p.m. Select one of the equations below that correctly describes the height of the tide (h) as a function of the number of hours after noon, t. (All times are measured as hours after noon, so 2 p.m. would be 2 and 8:15 p.m. is represented as 8.25.) Justify your choice. Show your calculations. 4л -(t – 2) |+5.6 25 - (1 +1.125) |+5.6 25 125). A. h(t) = 4.4 cos В. НО) 3 4.4sin C. h(t) = 4.4 cos D. h(t) = 4.4 sin -(t +1.125) |+5.6 12 +5.6

Coastal areas experience tides which is where the ocean periodically gets to high and low points. Tides can be modeled with a sinusoidal (sine or cosine) function. At one beach, the high tide is 10 feet above mean sea level and the low tide is 10 feet below see level. The length of time between high and low tide is 5 hours. If high tide is at time t = Ohours, give the function H(t) that describes the height of the tide relative to sea level t hours after the high tide.

Express the function by a formula The diameter of a cylindrical can as a functions if it's altitude if 18πsq.inches of metal are used.

Answer 2

Question

Chapter 1.2, Problem 2E

a.

To determine

To classify: the function y=πx as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

b.

To determine

To classify: the function y=xπ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

c.

To determine

To classify: the function y=x2(2−x3) as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

d.

To determine

To classify: the function y=tant−cost as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

e.

To determine

To classify: the function y=s1+s as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

f.

To determine

To classify: the function y=x3−11+x3 as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

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Answer 3

Question

Chapter 1.2, Problem 2E

a.

To determine

To classify: the function y=πx as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

b.

To determine

To classify: the function y=xπ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

c.

To determine

To classify: the function y=x2(2−x3) as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

d.

To determine

To classify: the function y=tant−cost as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

e.

To determine

To classify: the function y=s1+s as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

f.

To determine

To classify: the function y=x3−11+x3 as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

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Answer 4

Question

Chapter 1.2, Problem 2E

a.

To determine

To classify: the function y=πx as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

b.

To determine

To classify: the function y=xπ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

c.

To determine

To classify: the function y=x2(2−x3) as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

d.

To determine

To classify: the function y=tant−cost as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

e.

To determine

To classify: the function y=s1+s as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

f.

To determine

To classify: the function y=x3−11+x3 as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

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Answer 5

Chapter 1.2, Problem 2E

a.

To determine

To classify: the function y=πx as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

b.

To determine

To classify: the function y=xπ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

c.

To determine

To classify: the function y=x2(2−x3) as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

d.

To determine

To classify: the function y=tant−cost as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

e.

To determine

To classify: the function y=s1+s as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

f.

To determine

To classify: the function y=x3−11+x3 as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 6

Chapter 1.2, Problem 2E

a.

To determine

To classify: the function y=πx as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 7

Chapter 1.2, Problem 2E

a.

To determine

To classify: the function y=πx as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 8

b.

To determine

To classify: the function y=xπ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 9

b.

To determine

To classify: the function y=xπ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 10

c.

To determine

To classify: the function y=x2(2−x3) as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 11

c.

To determine

To classify: the function y=x2(2−x3) as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 12

d.

To determine

To classify: the function y=tant−cost as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 13

d.

To determine

To classify: the function y=tant−cost as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 14

e.

To determine

To classify: the function y=s1+s as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 15

e.

To determine

To classify: the function y=s1+s as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 16

f.

To determine

To classify: the function y=x3−11+x3 as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 17

f.

To determine

To classify: the function y=x3−11+x3 as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Answer 18

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Answer 19

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Answer 20

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Answer 22

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Answer 23

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Answer 29

Ch. 1.1 - Prob. 1E Ch. 1.1 - Prob. 2E Ch. 1.1 - Prob. 3E Ch. 1.1 - Prob. 4E Ch. 1.1 - Prob. 5E Ch. 1.1 - Prob. 6E Ch. 1.1 - Prob. 7E Ch. 1.1 - Prob. 8E Ch. 1.1 - Prob. 9E Ch. 1.1 - Prob. 10E

To classify: the function y = π x as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Solution Summary: The author enumerates the functions to be classified. Power, root, polynomial, rational, algebraic, trigonometric, and exponential functions.

Videos

To classify: the function y=πx as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

To classify: the function y=xπ as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

To classify: the function y=x2(2−x3) as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

To classify: the function y=tant−cost as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

To classify: the function y=s1+s as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

To classify: the function y=x3−11+x3 as power function, root function, polynomial, rational function, algebraic function, trigonometric function, exponential function or logarithmic function.

Chapter 1 Solutions