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2 years ago

Discrete mathematics with applications 5th edition answers

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1 answer:

weqwewe [10]2 years ago

3 0

An example of Discrete mathematics with applications 5th edition are Is there a real number whose square is –1?

Fill in the blanks using a variable or variables to rewrite the given statement.

a. Is there a real number x such that _____?

<h3>What is Discrete mathematics about?</h3>

This is known to be some math questions that covers the areas of linear functions, exponential functions, etc., that are often made to broaden the student's level of math.

The solution is to:

The objective or solution is to fill in the blanks using a variable or variables using the following statement:

“Is there a real number whose square is –1?”

(a) Let the real number be x

The square of the number is x²

x² = -1

Therefore, “Is there a real number x ² = -1

Learn more about Discrete mathematics from

brainly.com/question/2285371

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2 years ago

At an ocean depth of 20 meters, a buoy bobs up and then down 2 meters from the ocean's depth. Four seconds pass from the time th

stiv31 [10]

The first and second coordinate points of the sine graph are;

(0, 20) and (2, 22)

<h3>Sine Graph expression</h3>

The general formula we will use to plot the graph is;

y = [Asin (2πx/t)] + ∅ (Note that sin is in radians)

where;

A is amplitude

t is period

∅ is phase shift

We are told that the buoy bobs up and then down 2 meters from the ocean's depth. This means that;

Amplitude; A = 2

Now, Four seconds pass from the time the buoy is at its highest point to when it is at its lowest point. Thus;

Period = 2 * 4 = 8 seconds

Assume at x = 0, the buoy is at normal ocean depth. Thus;

Phase shift; ∅ = 20

Thus, we have;

y = [2sin((2πx/8)] + 20

At x = 0, we have;

y = [2sin((2π*0/8)] + 20

y = 0 + 20

y = 20

Thus, first point is; (0, 20)

Since the second point must be a maximum or minimum value on the graph closest to the first point, then we put 2 for x to get the coordinate of the second point;

y = [2sin((2π*2/8)] + 20

y = [2sin(π/2)] + 20

In radians, sin(π/2) = 1. Thus;

y = (2 * 1) + 20

y = 22

Second point is (2, 22)

Using the first and second point coordinates, we will use sine tool to graph the function as attached below.

Read more about sine graph at; brainly.com/question/18055768