A particle is moving along the curve y=22x+1−−−−−√y=22x+1. As the particle passes through the point (4,6)(4,6), its xx-coordinat
e increases at a rate of 44 units per second. Find the rate of change of the distance from the particle to the origin at this instant?
1 answer:
Answer:
the rate of change of the distance from the particle to the origin at this instant = 3.33unit/secs
Step-by-step explanation:
The approach to solve the question involves , concept of rate of change in differentiation, implicit differentiation and appropriate substitution were made to get the rate of change of distance.
The steps are as shown in the attached file.
You might be interested in
<u>Answer:</u>
The correct answer option is D.
<u>Step-by-step-explanation:</u>
We are given the following two functions:
and
We are to find so we will subtract the function g from function f, arrange the like terms together and combine them like shown below to get:
Therefore, is equal to
so the correct answer option is D.
.
Answer:
25 minutes
Step-by-step explanation:
Let the amount of time, in minutes, be x.
For Container A, we can write:
200 + 6x [since it has 200 and is being filled with 6 per minute]
For Container B, we can write:
500 - 6x [since it has 500 and is being drained with 6 per minute]
To find, we equate them and solve for x:
<em>So, in 25 minutes (m), the two containers will have same amount of water</em>