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.
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Answer:
Step-by-step explanation:
Let be "C" the circumference of the circle (in feet) and "r" the radius of the circle (in feet).
Based on the information provided in the problem, you know that the circumference of the circle is always as large as its radius.
Notice that this indicates a multiplication. Then, this means that the circumference of the circle is always equal to by "r".
Based on this, you can write the following formula that expresses the circumference "C" in terms of the radius "r":