<h3>
Answer: ds/dt = 11</h3>
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Work Shown:
Before we can use derivatives, we need to find the value of s when (x,y) = (15,20)
s^2 = x^2+y^2
s^2 = 15^2+20^2
s^2 = 225+400
s^2 = 625
s = sqrt(625)
s = 25
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Now we can apply the derivative to both sides to get the following. Don't forget to use the chain rule.
s^2 = x^2 + y^2
d/dt[s^2] = d/dt[x^2 + y^2]
d/dt[s^2] = d/dt[x^2] + d/dt[y^2]
2s*ds/dt = 2x*dx/dt + 2y*dy/dt
2(25)*ds/dt = 2(15)*5 + 2(20)*(10)
50*ds/dt = 150 + 400
50*ds/dt = 550
ds/dt = 550/50
ds/dt = 11
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Side note: The information t = 40 is never used. It's just extra info.
P=33+6.71
= 39.71
add 33+ 6.71
Answer:
-6
Step-by-step explanation:
next step is
-10 +4
you move the 4 to the other side
that equals -6
The answer 274 because anything divided by one is itself
Answer:
Theory
Step-by-step explanation:
Take any 18 objects
For example in this case
Take 18 chocolates
means one sixth , which practically means how many groups of 6 can be formed
So, Try to divide 18 into groups of 6
Count how many such groups are formed(it will be 3)
So one sixth of 18 is 3
That is, 18 comprises of 3 groups, each group containing 6 chocolates