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Test was much easier than 05H...Saw a 49 point increase and that was with 3NCS...

37. A band piece lasts 5 min 35 s when played at a 63 beats/min tempo. What tempo is needed if the piece duration is 6 min. ANS: 59
46. A 55 gal barrel is 45 in tall. What minimum number of 12 in tall buckets of similar shape to the barrel are needed if the contents of 3 barrels are transferred to the buckets. ANS: 159
50.
58.
59.

Thanks.

50. Well look at the picture. There is a frustum, small cone, and big cone

[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

Volume of big cone = [unparseable or potentially dangerous latex formula]

Volume of Frustum = [unparseable or potentially dangerous latex formula]

Volume of small cone = [unparseable or potentially dangerous latex formula]

It is given that the volume of small cone = volume of frustum

So,
[TI 89 SOLVER]

[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

Now, store this algebraic val. of x in your calc.

Notice that the volume of the big cone minus the volume of the small cone is equal to the volume of the frustum.

So,
[TI 89 SOLVER]

[unparseable or potentially dangerous latex formula]

[unparseable or potentially dangerous latex formula]

Now, plug in this value of z and solve the first equation AGAIN.
So,
[TI 89 SOLVER]

[unparseable or potentially dangerous latex formula]

You get [unparseable or potentially dangerous latex formula]

59: SKIP - no use doin it (unless ur nsguy)

Why? It's pretty easy.


First, take the derivative of the function, which is:
[unparseable or potentially dangerous latex formula]


Now, since the maximum point, where the slope is zero, is located at x = 6, we plug in 6 for x, and solve for n, which should get you 6.00

[quote="darksaber21"]Why? It's pretty easy.


First, take the derivative of the function, which is:
[unparseable or potentially dangerous latex formula]


Now, since the maximum point, where the slope is zero, is located at x = 6, we plug in 6 for x, and solve for n, which should get you 6.00[/quotet

Whoops! Typed the derivative wrong onto my calculator...
For 59, I read z-axis as x-axis so I thought the problem was simple as [unparseable or potentially dangerous latex formula]. I still don't get how to do it though.

Ok what does it mean by the x-z plane on 59??? I mean I have heard of the x-y plane

I think I was looking at the wrong problem this whole time, hehe.... sorry.

The x-z plane is the plane coming in and out of the page that is parallel with the x-axis on the page.

I know what an x-z plane is. Do you just find the region revolved around the axis and divide that by 2?

Can someone answer my question?