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Chapter 1: Q25E (page 7)

Sketch a rough graph of the outdoor temperature as a function of time during typical spring day.

Short Answer

Expert verified

From midnight to morning, the temperature decreases slightly. And from morning to noon, it increases at a faster rate due to sunlight. From evening onwards, the temperature starts decreasing.

Step by step solution

01

Find the variation in temperature on a spring day

From midnight to morning, the temperature decreases slightly. And from morning to noon, it increases at a faster rate due to sunlight. From evening onwards, the temperature starts decreasing.

02

Sketch the variation of temperature with time

The graph below represents the variation of temperature on a spring day.

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Most popular questions from this chapter

7-14 determine whether the equation or table defines \(y\) as a function of \(x\).

12. \(2x - \left| y \right| = 0\)

Temperature readings \(T\) (in \(^\circ F\) ) were recorded every two hours from midnight to 2:00 PM in Atlanta on a day in June. The time \(t\) was measured in hours from midnight.

\(t\)

0

2

4

6

8

10

12

14

\(T\)

74

69

68

66

70

78

82

86

(a) Use the readings to sketch a rough graph of T as a function of \(t\).

(b) Use your graph to estimate the temperature at 9:00 AM.

A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 in. by 20in. by cutting out equal squares of side \(x\) at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function \(x\).

15-18 determine whether the curve is the graph of a function of \(x\). If it is, state the domain and range of the function.

16.

Sketch the graph of the function

\(g\left( x \right) = \left| {\left| x \right| - {\bf{1}}} \right|\)
See all solutions

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