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3 years ago

using the graph shown below, identify the maximum and minimum values, the midline, the amplitude, the., and the rate constant

Mathematics

1 answer:

vitfil [10]3 years ago

3 0

Answer:

maximum: 40
minimum: -10
midline: 15
amplitude: 25
rate constant: ??

Step-by-step explanation:

The maximum value is the y-coordinate of the most extreme point in the positive direction. On this graph, it is 40.

The minimum value is the y-coordinate of the most extreme point in the negative direction. On this graph, it is -10.

The midline is the line halfway between the maximum and minimum. Its y-coordinate is the average of the maximum and minimum: (40-10)/2 = 15.

The amplitude is the difference between the maximum and the midline:

40 -15 = 25.

The term "rate constant" is used for many things, but is rarely seen as a descriptor of a sine function. For that, you'll need to <em>consult your text</em> or other reference material. (Google turns up kinetic rate constants, chemical reaction rate constants, and others—nothing related to sine functions.)

The usual descriptors are frequency or period. (Frequency is the reciprocal of period.) On this graph, the period of the function is 6 units, so the frequency is 1/6 cycles per unit.

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tiny-mole [99]

Answer:

The equation of line a is y = x

The equation of line b is y = $\frac{2}{3}$ x

Step-by-step explanation:

The equation of the proportional is y = m x, where

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The rule of the slope of a line is m = $\frac{y2-y1}{x2-x1}$ , where

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→ Substitute them in the rule of the slope above

∵ m = $\frac{3-0}{3-0}=\frac{3}{3}$

∴ m = 1

→ Substitute in the form of the equation above

∴ y = (1)x

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∴ The equation of line a is y = x

∵ Line b passes through points (0, 0) and (3, 2)

∴ x1 = 0 and y1 = 0

∴ x2 = 3 and y2 = 2

→ Substitute them in the rule of the slope above

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∴ m = $\frac{2}{3}$

→ Substitute in the form of the equation above

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using the graph shown below, identify the maximum and minimum values, the midline, the amplitude, the., and the rate constant​

using the graph shown below, identify the maximum and minimum values, the midline, the amplitude, the., and the rate constant