What is the period of the function g(x)=2cos(7x+5)+1

Mathematics

2 answers:

svp [43]3 years ago

8 0

Answer:

2π/7

Step-by-step explanation:

A cosine wave is:

y = A cos(2π/T x + B) + C

where A is the amplitude,

T is the period,

B is the horizontal shift,

and C is the vertical shift.

In this case:

7 = 2π/T

T = 2π/7

KIM [24]3 years ago

4 0

Answer:

The period the la function is with the formula that will be explained below

Step-by-step explanation:

The period is calculated with this formula:

2 π

The absolute value is the distance between a number and zero, therefore the distance between zero and 7 is therefore 7; therefore we finally have:

Periodo:

2 π

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What was Mike's average rate of descent over his last three hours?

Romashka [77]

Answer:

The average rate of descent over the last 3 hours is 1000 ft/h.

Step-by-step explanation:

Rate of Change

It's usually referred to as to the variation that one magnitude has in reference to another. The reference magnitude can be time t. The rate of change is calculated as the slope of the curve that represents the function.

The image shows the variation of Mike's height above sea level in feet with time in hours. We need to calculate the rate of change in the last three hours (from 7 to 10).

The rate of change can be calculated with the slope of the line, which formula is:

$\displaystyle m=\frac{h_2-h_1}{t_2-t_1}$