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Chapter 1: Q26E (page 7)

Sketch a rough graph of a number of hours of daylight as a function of the time of year.

Short Answer

Expert verified

In a year, June 21 is the longest day, and December 22 is the shortest day. Therefore, the maximum sunlight is received on June 21, whereas the least sunlight is received on December 22.

Step by step solution

01

Find the variation in temperature  

In a year, June 21 is the longest day, and December 22 is the shortest day. Therefore, the maximum sunlight is received on June 21, whereas the least sunlight is received on December 22.

02

Sketch the variation of temperature 

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

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Most popular questions from this chapter

77-78 Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your reasoning.

78.

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

14.

An electricity company charges its customers a base rate of $10 a month, plus 6 cents per kilowatt-hour (kWh) for the first 1200 kWh and 7 cents per kWh for all usage over 1200 kWh. Express the monthly cost E as a function of the amount x of electricity used. Then graph the function E for \(0 \le x \le 2000\).

79-80 the graph of a function defined for \(x \ge 0\) is given. Complete the graph for \(x < 0\) to make (a) an even function and (b) an odd function.

79.

A tank hold 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaning in the tank (in gallons) after t minutes.

t(min)

5

10

15

20

25

30

V(gal)

694

444

250

111

28

0

(a) If P is the point (15, 250) on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with \(t = {\bf{5}},\;{\bf{10}}{\rm{,}}\,{\bf{20}}{\rm{,}}\,{\bf{25}}{\rm{,}}\,{\bf{and}}\,\,{\bf{30}}\).

(b) Estimate the slope of the tangent line at P by averaging the slopes of two secant ines.

(c) Use a graph of V to estimate the slope of the tangent line at P. (This slope represents the rate at which the water is flowing from the tank after 15 minutes.)
See all solutions

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