<span>dA/dx = 100 - 4x & the 2nd derivative is -4 [i.e. -ve]
so setting dA/dx to zero will give a maxima
100 - 4x = 0
so x = 25 m
in other words, a rectangle with a given perimeter has the maximum area when it is a square</span>
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Using the given formula speed = distance over time:
Speed = 70 miles / 3 hours
Speed = 23.33 miles per hour
Convert miles per hour to meters per hour:
1 mile = 1609 meters:
23.33 miles x 1690 meters = 37,543.33 meters per hour.
Now convert meters per hour to meters per second:
1 hour = 3600 seconds:
37,543.33 / 3600 = 10.4 meters per second.
The numbera are 14 and 56
Use <u>elimination</u><u>.</u>
Add the equations by columns to get the third equation,
The new equation has only one unknown, so .
Now plug in the fact that into one of the equations and solve for y (I will pick 2nd equation),
.
The value of and .
Hope this helps :)
Part A
The graph passes through .
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points.
Using and .
We obtain the slope to be
Using and .
We obtain the slope to be
.
Since the slope is not constant(the same) everywhere, the function is non-linear.
Part B
A linear function is of the form
where is the slope and is the y-intercept.
An example is
A linear function can also be of the form,
where and are constants.
An example is
A non linear function contains at least one of the following,
- Product of and
- Trigonometric function
- Exponential functions
- Logarithmic functions
- A degree which is not equal to or .
An example is or or etc