SOLUTION: 1. A box with a square base has a surface area (including the top) of 3m^2. Express the volume V of the box as a function of the width w of the base.
2. A stone is thrown into
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Question 296390: 1. A box with a square base has a surface area (including the top) of 3m^2. Express the volume V of the box as a function of the width w of the base.
2. A stone is thrown into a lake and t seconds after the splash the diameter of the circle of ripples is t meters.
a)Express the circumference C of this circle as a function of t.
b)Express the area A of this circle as a function of t.
3. Water is flowing at a rate of 5m^3/s into a conical tank.
a)Find the volume V of the water as a function of the water level h.
b)Find h as a function of the time t during which water has been flowing into the tank.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
1. A box with a square base has a surface area (including the top) of 3m^2.
Express the volume V of the box as a function of the width w of the base.
Let h = the height of the box
S.A:
2(w^2) + 4(wh) = 3
4wh = 3 - 2w^2
h =
Vol
v = L*W*h
square base so
v = w^2*h
Replace h with
v = w^2()
Cancel w
v = w()
v =
:
:
2. A stone is thrown into a lake and t seconds after the splash the diameter
of the circle of ripples is t meters.
a)Express the circumference C of this circle as a function of t.
b)Express the area A of this circle as a function of t.
:
:
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