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Question 350476: Please help me solve this equation: Consider the function , .
a) Find the average value of f on the interval [1, 8].
b) Find c such that fave. = f (c).
c) Sketch the graph of f and a rectangle whose area is the same as the area under
the graph of f .
Click here to see answer by jsmallt9(3758) |
Question 350491: Aqueducts were once used to carry water from rivers using gravity. Water flowing too quickly might damage an aqueduct, but water flowing too slowly might not keep the aqueduct clear. One of the best and most common designs for an aqueduct was to raise it 3 meters for every kilometer in length. What is the slope of an aqueduct built with this design?
Click here to see answer by Alan3354(69443)  |
Question 350709: When a ball is thrown, its height in feet h after t seconds is given by the equation
h=vt-16t^2
where v is the initial upwards velocity in feet per second. If v=9 feet per second, find all values of t for which h=1 foot. Do not round any intermediate steps. Round your answer to 2 decimal places.
Click here to see answer by nerdybill(7384)  |
Question 350700: Please help me solve this equation:
Let R be the region enclosed by and the x-axis.
a. Find the area of the region R.
b. Find the volume of the solid generated by rotating R about the y-axis.
c. Find the volume of the solid generated by rotating R about the x-axis.
d. Set up, but DO NOT EVALUATE, a definite integral representing the volume
of the solid generated by rotating R about x = 2.
e. Set up, but DO NOT EVALUATE, a definite integral representing the volume
of the solid generated by rotating R about y = 2.
Click here to see answer by solver91311(24713)  |
Question 352094: volume of a square based box is 256cm^3.
1.)Find h in terms of l.
if the box has an opened top, find:
2.)the surface area, A in terms of l only
3.) dimensions of the box if the surface area is to be a minimum
4.) the minimum area.
Click here to see answer by Edwin McCravy(20054)  |
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