Verify the identity
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2 answers:
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Answer:
The differential equation becomes -
i.e.
Step-by-step explanation:
Given - The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
To find - Write a differential equation that describes the relationship.
Proof -
Rate of change of volume V with respect to time t is represented by
Now,
Given that,
The rate of change of the volume V of water in a tank with respect to time t is directly proportional to the cubed root of the volume.
⇒ ∝
Now,
We know that, when we have to remove the Proportionality sign , we just put a constant sign.
Let k be any constant.
So,
The differential equation becomes -
i.e.
Answer: If and
, then
Step-by-step explanation:
Let be "a", "b", and "c" all real numbers, the Transitive property of equalities states that :
If and
, then
You can observe that if two numbers are equal to the same number, then all this numbers are equal to each other.
For example, applying the Transitive property of equalities to:
and
You can equate them:
And solve for "x":
Answer:
Step-by-step explanation:
Given
Required
Factorize:
Express 18 as 6 * 3 and 12 as 6 * 2
Factor out 6
Factor out
Factor out f