34. Find the average rate of change for x 0.5 to 35 for the following temperatures in degrees Fahrenheit
1 answer:
The average rate of change between the interval x = 0.5 to x = 3.5 is: 5.
x = 3.5 represents 3.5 hours after noon.
<h3>How to Find Average Rate of Change Over an Interval</h3>Given an interval of x = a to x = b, the average rate of change over the given interval of a function can be calculated using the formula below:
Given table representing the function as shown in the image attached below, let's determine the average rate of change for x = 0.5 to x = 3.5.
a = 0.5
f(a) = 47 (from the table, when x = 0.5, y = 47)
b = 3.5
f(b) = 62 (from the table, when x = 3.5, y = 62)
Plug the values into
Average rate of change =
Average rate of change = 5
x = 3.5 represents 3.5 hours after noon.
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Answer:
The value of Cos (-Ф) .
Step-by-step explanation:
Given Trigonometric function as :
sin( - Ф ) =
- sin Ф =
So, sin Ф =
Now, as sin Ф =
So , =
So, perpendicular = 3
And hypotenuse = 5
Now,<u> From Pythagoras Theorem</u>
Base ² = Hypotenuse² - Perpendicular²
Or, Base ² = 5² - 3²
Or, Base ² = 25 - 9
Or, Base ² = 16
∴ Base =
I.e Base = 4
Now, Cos Ф =
So, Cos Ф =
Now , Since
Cos ( - Ф ) = Cos Ф
So, Cos ( - Ф ) = Cos Ф =
Hence The value of Cos (-Ф) . Answer