Tuesday, June 23, 2009

Math HW2

Here's for the people without 6th ed and those who are too lazy to look into their 6th eds. :P

Find the center, vertices, foci, and extremities of the minor axis of the ellipse. Draw a sketch of the ellipse, and show the foci.
10. 9x^2+4y^2-18x+16y-11=0

Find an equation of the ellipse having the given properties, and draw a sketch of the ellipse.
20. Foci at (-5,0) and (5,0) and for which the constant referred to in Definition 10.2.1 is 20.

28. Foci at (2,3) and (2,-7) and the length of the semiminor axis is two-thirds of the length of the semimajor axis.

32. The orbit of the earth around the sun is elliptical in shape with the sun at one focus and a semimajor axis of length 92.9 million miles. If the distance between the foci is 3.16 million miles, find (a) how close the earth gets tothe sun and (b) the greatest possible distance between the earth and the sun.

34. The arch of a bridge is in the shape of a semiellipse having a horizontal span of 40 m and a height of 16 m at its center. How high is the arch 9 m to the right or left of the center?

Please comment if there are errors. :D

1 comment:

  1. hello, damn this is a really old post, but woop~ Is there a chance that you can tell me what textbook this is?

    I've been searching for those questions, but the textbook is what I do not know.

    I hope someone will reply or even remember what book this is >.<

    ReplyDelete