HELP me with my calculus assignmat. Please help me and get a medal. Just the first ten question. 1 to 10.
Show your work.
the first one looks like this when you rewrite without the radicals:\[\frac{ x ^{\frac{ 9 }{ 7 }} }{ x ^{\frac{ 6 }{ 5 }} }\]In order to combine those you need a common denominator between the 7 in the numerator's power and the 5 in the denominator's power. That common denominator is 35. So like this:
\[\frac{ x ^{\frac{ 45 }{ 35 }} }{ x ^{\frac{ 42 }{ 35 }} }\]the rule then is to subtract the power in the denominator from the power in the numerator, like this:
\[x ^{\frac{ 45 }{ 35 }-\frac{ 42 }{ 35 }}\]which gives you \[x ^{\frac{ 3 }{ 35 }}\]which as a single radical is this:\[\sqrt[35]{x ^{3}}\]
the second one you will begin by factoring out a single x, leaving you with\[x(6x ^{2}-17x+5)\]Factoring the remaining polynomial gives you factors of\[(x-\frac{ 5 }{ 2 })(x-\frac{ 1 }{ 3 })\]so factoring completely you get this\[x(x-\frac{ 5 }{ 2 })(x-\frac{ 1 }{3 })\]
Can't find the zeros of #3 because they are nonreal complex. I cannot even seem to find them on my graphing calculator. It seems to me that the range though goes from negative infinity to 49.12
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