Recent content by jackscholar

Would that be used in the present value annuity equation where n=1 like so.. P.V.=5000*(1-(1.055)^-1)/0.055?

Homework Statement A business is paying off a debt by paying an installment of $8000 at the end of each year. Interest is being charged at 5.5%. What is the outstanding debt if the business has just paid an installment and there remain 15 further installments of $8000 and a final repayment of...

How would I calculate the volume of one of the horns using a triple integral, though?

I am trying to determine the volume for Torricelli's Trumpet. I've done it the conventional way but have been want to prove it using the triple integral method. I stumbled across a website which stated a few things and got to the answer but it didn't explain how. I have proved the surface area...

Homework Statement I have a graph 1/x^2=y^2+z^2 where z=rsin(θ) and y=rcos(θ) where 0≤r≤1 and 0≤θ≤2∏ on the zy-plane The end result is attached (sorry, I'm not aware of how to use Latex :[ ) I can kind of understand how they determined the first bounds for the integral: the lowest x...

I was looking into norms but I tried it and it didn't work out but now I see where I went wrong. Thank you very much.

Homework Statement I've recently been completing an assessment on Torricelli's Trumpet and was told to look into the geometry aspect. I've been following this website: http://www.palmbeachstate.edu/honors/documents/jeansergejoseph.pdf I understand all the steps but am not privvy to how they...

That is what I wrote in regards to Simon Bridge. To uniquely specify a conic section you need five points, don't you? How do I determine the distances between those two points? The constant is equal to the major axis length, isn't it. In determining the major axis length I would be able to...

Well, in my textbook the examples always say "describe the locus of z(x,y) given that... and there will be an example such as the |z-2i|+|z+1|=4 the problem with what I've done is that it doesn't have an axis length and I don't know if I need one or how to find one.

Homework Statement The question simply states that the focals are (0,2) and (2,-1) and I need to form an equation from it. I know that in complex form this would be |z-(0-2i)| + |z-(-2+i)| or more simply |z+2i|+|z+2-i|. Is this right?

4/3∏r^3

Homework Statement An inflated hot air balloon can be considered as a perfect sphere woth diameter of 30m. When the hatch is opened, the hot air is lost at a rate of 118m^3/s. For the first 5 seconds, the balloon maintains its spherical shape, but then it begins to collapse. At what rate is...

The prices for bananes that a fruit shop would have to pay to keep them in stock have a mean of $1.35/kg and a standard deviation of 18 cents. The owner will not pay more than a certain price, but manages to keep stock 8% of the time. What is the maximum price the ownwer will pay? I found...

It was the best I could do given the diagram I had copied. Sorry for any inconvenience.

So it then becomes 64∏sin(2θ). After that it is differentiated to become 128∏cos(2θ)=0. Therefore once re-arranged it becomes cos(2θ)=0, then apply the inverse of cos to both sides and divide by two...this gives ∏/4? Does this also apply to 3∏/4, 5∏/4, 7∏/4...(2n-1)∏/4 or something like that?