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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<u>the question is </u> Calculate the value of the copper in the coin
Step 1
Find the volume of the coin
we know that
the volume of a cylinder is equal to
where
r is the radius of the coin
h is the thickness of the coin
in this problem we have
Diameter=19 mm=1.9 cm
r=D/2------> r=1.9/2=0.95 cm
h=1.5 mm=0.15 cm
substitute the values in the formula
Step 2
<u>Find the mass of copper in the coin</u>
we know that
the density is equal to
Solve for the mass
we have
substitute in the formula
Step 3
<u>Find the cost</u>
we know that
the market price of the copper is $2.15 per pound
1 pound=453.592 grams
convert gram to pounds
3.785 gr=3.785/453.592=0.0083 pounds
0.0083*$2.15=$0.018=$0.02
therefore
<u>the answer is</u>
$0.02
Answer:
The Answer is
Step-by-step explanation:
Let me know if i got this right...? :)