To graph: The equation y = 30 , 000 − 400 t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1 . The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Question

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Answer 1

Question

Chapter 1.2, Problem 43E

(a)

To determine

To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(b)

To determine

To calculate: The amount of oil in the tank on February 1, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(c)

To determine

To calculate: The amount of oil in the tank on February 15, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(d)

To determine

To calculate: The y-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(e)

To determine

To calculate: The t-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

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1. For each of the following, find the critical numbers of f, the intervals on which f is increasing or decreasing, and the relative maximum and minimum values of f. (a) f(x) = x² - 2x²+3 (b) f(x) = (x+1)5-5x-2 (c) f(x) = x2 x-9 2. For each of the following, find the intervals on which f is concave upward or downward and the inflection points of f. (a) f(x) = x - 2x²+3 (b) g(x) = x³- x (c) f(x)=x-6x3 + x-8 3. Find the relative maximum and minimum values of the following functions by using the Second Derivative Test. (a) f(x)=1+3x² - 2x3 (b) g(x) = 2x3 + 3x² - 12x-4

Answer 2

Question

Chapter 1.2, Problem 43E

(a)

To determine

To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(b)

To determine

To calculate: The amount of oil in the tank on February 1, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(c)

To determine

To calculate: The amount of oil in the tank on February 15, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(d)

To determine

To calculate: The y-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(e)

To determine

To calculate: The t-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

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Answer 3

Question

Chapter 1.2, Problem 43E

(a)

To determine

To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(b)

To determine

To calculate: The amount of oil in the tank on February 1, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(c)

To determine

To calculate: The amount of oil in the tank on February 15, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(d)

To determine

To calculate: The y-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(e)

To determine

To calculate: The t-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

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Answer 4

Question

Chapter 1.2, Problem 43E

(a)

To determine

To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(b)

To determine

To calculate: The amount of oil in the tank on February 1, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(c)

To determine

To calculate: The amount of oil in the tank on February 15, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(d)

To determine

To calculate: The y-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(e)

To determine

To calculate: The t-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

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Answer 5

Chapter 1.2, Problem 43E

(a)

To determine

To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(b)

To determine

To calculate: The amount of oil in the tank on February 1, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(c)

To determine

To calculate: The amount of oil in the tank on February 15, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(d)

To determine

To calculate: The y-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

(e)

To determine

To calculate: The t-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 6

Chapter 1.2, Problem 43E

(a)

To determine

To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 7

Chapter 1.2, Problem 43E

(a)

To determine

To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 8

(b)

To determine

To calculate: The amount of oil in the tank on February 1, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 9

(b)

To determine

To calculate: The amount of oil in the tank on February 1, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 10

(c)

To determine

To calculate: The amount of oil in the tank on February 15, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 11

(c)

To determine

To calculate: The amount of oil in the tank on February 15, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 12

(d)

To determine

To calculate: The y-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 13

(d)

To determine

To calculate: The y-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 14

(e)

To determine

To calculate: The t-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 15

(e)

To determine

To calculate: The t-intercept of the graph and its significance, if the equation is y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Answer 16

Expert Solution & Answer

Answer 17

Expert Solution & Answer

Answer 18

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Answer 19

To graph: The equation y = 30 , 000 − 400 t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1 . The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

Solution Summary: The graph of the equation y=30,000-400t is shown below.

To graph: The equation y=30,000−400t where y denotes the number of gallons of fuel oil in the tank and t denotes the number of days after January 1. The heating oil storage tank of an apartment was filled on January 1 but sometimes until March no more transfers of oil was made.

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Chapter 1 Solutions