Math Is Fun Forum

Find the foci and vertices for y^2/36+x^2/9=1
I got it as(0,4) and vertices (12,9)
I used the (x-h) and (y-k) form and found the ans.

But, my teacher told it is wrong. Does anybody knows this?

If the points (a,2a) (2a,a), (a,a)and enclose a triangle of area 18 sq units, the centroid of the
triangle is

I tried this problem by finding the area, perimeter, side and then atlast the equation of median
and then find the centroid, and got the ans (4,4)

But my teacher says it is wrong

I dont know wat is wrong?? is tere any other method to solve this?

Determine the area of the region bounded by the curve f(x) = 2x^2 + 10, and the line f(x) = 4x + 16, x = -2 and x = 5.

I need the solution step by step does any body knows ??

Determine the area bounded by the curves f(x) = xe^(-x2), f(x) = x + 2, x = 3 and y-axis

anybody know how to do this?

(1) For its 2010 tax year, Ilex Corporation has ordinary income of $240,000, a short-term capital loss of $60,000, and a long-term capital gain of $20,000. Calculate Ilex Corporation's tax liability for 2010.

(2) Fisafolia Corporation has gross income from operations of $220,000 and operating expenses of $160,000 for 2010. The corporation also has $20,000 in dividends from publicly traded domestic corporations (ownership in all corporations was less than 20 percent). a. a. Calculate the corporation's dividends received deduction for 2010. b. Assume that instead of $220,000, Fisafolia Corporation has gross income from operations of $135,000. Calculate the corporation's dividends received deduction for 2010.

(3) Beech Corporation, an accrual basis taxpayer, was organized and began business on July 1, 2010. During 2010, the corporation incurred the following expenses: State fees for incorporation $ 500 Legal and accounting fees incident to organization 1,800 Expenses for the sale of stock 2,100 Organizational meeting expenses 750 Assuming that Beech Corporation does not elect to expense but chooses to amortize organizational-expenditures over 15 years, calculate the corporation's deduction for its calendar tax year 2010.

(4) Citradoria Corporation is a regular corporation that contributes $35,000 cash to qualified charitable organizations during 2010. The corporation has net operating income of $140,000 before deducting the contributions, and dividends received from domestic corporations (ownership in all corporations is less than 20 percent) in the amount of $20,000. a. What is the amount of Citradoria Corporation's allowable deduction for charitable contributions for the current year?
b. What may the corporation do with any excess amount of contributions?

(5) Cedar Corporation has an S corporation election in effect. During the 2010 calendar tax year, the corporation had ordinary taxable income of $200,000, and on January 15, 2010, the corporation paid dividends to shareholders in the amount of $120,000. How much taxable income, in total, must the shareholders of the corporation report on their 2010 tax returns? Explain your answer.

(6) Bill and Guilda each own 50 percent of the stock of Radiata Corporation, an S corporation. Guilda's basis in her stock is $25,000. On July 31, 2010, Bill sells his stock, with a basis of $40,000, to Loraine for $50,000. For the 2010 tax year, Radiata Corporation has a loss of $100,375. a. Calculate the amount of the corporation's loss that may be deducted by Bill on his 2010 tax return. b. Calculate the amount of the corporation's loss that may be deducted by Guilda on her 2010 tax return. c. Calculate the amount of the corporation's loss that may be deducted by Loraine on her 2010 tax return.

(7) Grevilla Gerporation is a manufacturing company. The corporation has accumulated earnings of $950,000, and it can establish reasonable needs for $400,000 of that amount. Calculate the amount of the accumulated earnings tax (if any) that Grevilla Corporation is subject to for this year.

(8) Cypress Corporation has regular taxable income of $170,000 (assume annual gross receipts are greater than $5 million) and regular tax liability of $49,550 for 2010. The corporation also has tax preference items amounting to $105,000. Calculate Cypress Corporation's alternative minimum tax liability. Assume Cypress Corporation is not a "small corporation."

Suppose that an airline oers daily non stop flights as follows: there are three flights from New York
to Miami, two flights from Miami to New York, one flight from Miami to Chicago, two flights from
Chicago to Miami, 3 flights from Chicago to New York, 3 flights from New York to Chicago, one
flight from New York to Houston, and one flights from Houston to New York, two
flights from Houston toMiami, and one flight from Miami to Houston.
(a) Draw a graph to represent airline routes, in which each vertex represents a city and an edge joining
two vertices represents the existence of a non stop flight between those two cities.
(b) Find the beta index of the graph you found in part (a).

(1) Prove that tan(x/2+pi/4) =sec x+ tanx
(2)Solve cos 2x =-1/2  for x. Give a general formula for all of the solutions. List six specific solutions.
(3) Given the function  f(x) = (3x^2+2x+2)/(x+3)
A)    Find all x and y intercepts.
B)    Find all of the asymptotes.
C)    Draw a number line to determine when the graph is above and below the x axis.