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Is it possible to solve y equals 4Xto the power of 4 plus 2Xto the power of 2 plus 3?
Wiki User
∙ 13y ago
Not if you want REAL solutions:
y=4x^4 +2x^2 +3
t=x^2
therefore y=4t^2 +2t +3
Use discriminant: b^2-4ac=4-48=-44
this means there will be no REAL solutions (but there will be COMPLEX solutions-message me if you need this bit explained)
Wiki User
∙ 13y ago
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How do you find the area between the curves y24x and y2x using integration?
You need to be more accurate and precise in submitting problems of this nature. Regardless, I think I have it figured out. The functionsY2 = 4XY = 2XTo find area here you need bounds. The graph admits of only these bounds; 0 to 1. Y2 = 4X is the top function.Rewrite.Y2 = 4XY = sqrt(4X)Y = 4X 1/2------------------integrateint( 4X 1/2 - 2X) dx= (8/3)X 3/2 - X2----------------------------------insert bounds(8/3)(1) 3/2 - (0)2= 8/3======the area between these functions
How many words have two syllables or more in the Gettysburg Address?
In Abraham Lincoln's Gettysburg Address, there are 70 words with two syllables or more. Of those 70 words, these words are repeated more than once:people repeated 3xdedicate repeated 2xdedicated repeated 3xnation repeated 5xconceived repeated 2xrather repeated 2xdevotion repeated 2xTo find the entire list of words with two syllables or more, visit the Related Link. Copy the Address into Word or Notepad. Use Control+H to open the Find-Replace Box. Search for all two letter words... put the word in Find, and leave the Replace Box empty...search only for Whole Words (look under More button on Find-Replace box and tick Whole Words). Next look for 3 letter words and remove. Check for 4 letter words and after sounding out each one, remove all that don't apply. When you do 5 letter words, listen carefully to how they sound... for example, "their" is 1 syllable, but aware is 2 syllables. Use Word Count under Tools to see how many you found. If you have more than 70, look for more words that are 1 syllable.
