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Chapter 1: Q12E (page 9)

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

Short Answer

Expert verified

The required graph is as follows

Step by step solution

01

Describe the given information

It is required to sketch the graph of the number of hours of daylight as a function of the time of year.

02

Draw the graph of the number of hours of daylight as a function of the time of year

The graph for the number of hours of daylight as a function of time is sinusoidal with a time period equal to 1 year.

Draw the required graph as follows.

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Most popular questions from this chapter

Prove the statement using the \(\varepsilon ,\)\(\delta \)definition of a limit and illustrate with a diagram like a Figure 15.

\(\mathop {\lim }\limits_{x \to 3} \left( {1 + \frac{1}{3}x} \right) = 2\)

Find the domain and sketch the graph of the functions\(f\left( {\bf{x}} \right){\bf{ = }}\left\{ \begin{array}{l}{\bf{ - 1}},{\bf{x}} \le {\bf{ - 1}}\\{\bf{3x + 2,}}\left| {\bf{x}} \right| < {\bf{1}}\\{\bf{7 - 2x,x}} \ge {\bf{1}}\end{array} \right.\).

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions and then applying the appropriate transformations.

\(y = \left| x \right| - 2\)

Evaluate the difference quotient for the given function. Simplify your answer.

\(f\left( x \right) = {x^3}\), \(\frac{{f\left( {a + h} \right) - f\left( a \right)}}{h}\)

Prove the statement using the\(\varepsilon \), \(\delta \)definition of a limit.

\(\mathop {\lim }\limits_{x \to 0} {x^2} = 0\)
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