Here's a list that might help:
Odd functions: sinx, tanx, cotx, cscx
Even functions: cosx, secx
If two lines are parallel to one another, then their slopes are identical. The slope in the line above is 3/4. Therefore, a line parallel to that line will also have a slope of 3/4, it will just have a different y-intercept.
Answer:
The relationship between flying time in seconds in the number of times the insect beats its wings:
Step-by-step explanation:
The slope-intercept form of the line equation

where
- m is the rate of change or slope
In our case,
Let 'x' be the flying time in seconds
Ley 'y' be the number of times the insect beats its wings
Given that a certain insect can beat its wings 120 times per second.
It indicates that the rate of change or slope = m = 120
In our case the y-intercept b = 0, as there is no initial condition mentioned here.
Now, substituting m = 120 and b = 0 in the slope-intercept form
y = mx+b
y = 120x+0
y = 120x
Therefore, the relationship between flying time in seconds in the number of times the insect beats its wings:
The image of the function when translated up is f'(x) = 3x + 5
<h3>How to translate the function up?</h3>
The function is given as:
f(x) = 3x
The rule of the function of a translation of 5 units up is represented as;
f'(x) = f(x) + 5
So, we have:
f'(x) = 3x + 5
Hence, the image of the function when translated up is f'(x) = 3x + 5
Read more about translation at:
brainly.com/question/4289712
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Answer:
70 is answer
Step-by-step explanation:
Given that a function in x is

we have to find f'(7)
we know by derivative rule derivative of a function is

For finding out at 7 we replace x by 7

=
So f'(7) = 70
answer is 70