Do 51 and 2.5 then when you get that add 42 to your answer
The sum of 5 and 8 is 13.
Unknown number is x
So 13x=42
x=4
<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.
Answer:
15.63 cm^3
Step-by-step explanation:
Assuming that the ice cube is a perfect cube, then all of the sides are equal. There for, each side is 2.5 cm.
v = l*w*h
v = 2.5 * 2.5 * 2.5
v = 6.25 * 2.5
v = 15.625 cm^3
Answer:
Step-by-step explanation:
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