If a vertical line drawn through a graph crosses it only once, the relation is a function.. . True . False
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Additive inverse is the number you add to a given number to make the sum zero. The addition of both the number must be zero to make both numbers additive inverse.. The additive inverse of the given complex number is
Addictive Inverse-Additive inverse is the number you add to a given number to make the sum zero. The addition of both the number must be zero to make both numbers additive inverse.
Let an example, if we take the number 10 and add -10 to it. Thus -10 is the additive inverse of the number 10.
Here, the given number is a complex number. A complex number is a number of the form a + bi, where a and b are real numbers. The given function is,
The additive inverse of the above number is,
Add both and check by equating with zero,
Hence, the additive inverse of the given complex number is .
For more about the additive inverse, follow the link below-brainly.com/question/13715269
Answer:
Step-by-step explanation:
In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)
This diagram will help us visualize the problem better.
So we start by determining what data we already know:
Height=6in
Diameter=3.8in
Radius = 1.9 in (because the radius is half the length of the diameter)
The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:
which yields:
with this information we can start solving the problem.
First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:
where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.
Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:
or
We can now take the derivative to this formula so we get:
Which simplifies to:
We can now substitute the data provided by the problem to get:
which yields:
