document.write( "Question 63961: determine the critical numbers and the critical points for each of the following functions\r
\n" ); document.write( "\n" ); document.write( "A. f(x)= x^3 + 13x^2 + 7x - 165\r
\n" ); document.write( "\n" ); document.write( "B. g(x)= X^3 +6x^2 - 13x - 42\r
\n" ); document.write( "\n" ); document.write( "C. h(x)= x^3-10x^2 + 7x + 18\r
\n" ); document.write( "\n" ); document.write( "THESE PROBLEMS ARE TOUGH....I REALLY NEED HELP WITH THEM...I TRIED DOING THEM BUT THE ANSWERS AREN'T RIGHT BECAUSE I KNOW THERE ARE SUPPOSED TO BE 2 ANSWERS 4 EACH BUT IM NOT SURE HOW TO GET THE SECOND NUMBER...PLEASE HELP...THANK YOU
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #44623 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
determine the critical numbers and the critical points for each of the following functions\r
\n" ); document.write( "\n" ); document.write( "A. f(x)= x^3 + 13x^2 + 7x - 165
\n" ); document.write( "f'(x)=3x^2+26x+7
\n" ); document.write( "0=3x^2+26x+7
\n" ); document.write( "Use the quadratic formula:
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F2a\" a=3, b=26, and c=7
\n" ); document.write( "\"x=%28-26%2B-sqrt%28%2826%29%5E2-4%283%29%287%29%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%28-26%2B-sqrt%28676-84%29%29%2F6\"
\n" ); document.write( "\"x=%28-26%2B-sqrt%28592%29%29%2F6\"
\n" ); document.write( "\"x=%28-26%2B-sqrt%2816%29%2Asqrt%2837%29%29%2F6\"
\n" ); document.write( "\"x=%28-26-4sqrt%2837%29%29%2F6\" and \"x=%28-26%2B4sqrt%2837%29%29%2F6\"
\n" ); document.write( "\"x=2%28-13-2sqrt%2837%29%29%2F%282%283%29%29\" and \"x=2%28-13%2B2sqrt%2837%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%28-13-2sqrt%2837%29%29%2F3\" and \"x=%28-13%2B2sqrt%2837%29%29%2F3\"
\n" ); document.write( ":
\n" ); document.write( "B. g(x)= X^3 +6x^2 - 13x - 42
\n" ); document.write( "g'(x)=3x^2+12x-13
\n" ); document.write( "0=3x^2+12x-13
\n" ); document.write( "Use the quadratic formula, a=3, b=12, and c=-13
\n" ); document.write( "\"x=%28-12%2B-sqrt%28%2812%29%5E2-4%283%29%28-13%29%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%28-12%2B-sqrt%28144%2B156%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%28-12%2B-sqrt%28300%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%28-12%2B-sqrt%28100%29%2Asqrt%283%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%28-12-10sqrt%283%29%29%2F%282%283%29%29\" and \"x=%28-12%2B10sqrt%283%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=2%28-6-5sqrt%283%29%29%2F%282%283%29%29\" and \"x=2%28-6%2B5sqrt%283%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%28-6-5sqrt%283%29%29%2F3\" and \"x=%28-6%2B5sqrt%283%29%29%2F3\"
\n" ); document.write( ":
\n" ); document.write( "C. h(x)= x^3-10x^2 + 7x + 18
\n" ); document.write( "h'(x)=3x^2-20x+7
\n" ); document.write( "0=3x^2-20x+7
\n" ); document.write( "Use the quadratic formula a=3, b=-20, and c=7
\n" ); document.write( "\"x=%28-%28-20%29%2B-sqrt%28%28-20%29%5E2-4%283%29%287%29%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%2820%2B-sqrt%28400-84%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%2820%2B-sqrt%28316%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%2820%2B-sqrt%284%29%2Asqrt%2879%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%2820-2sqrt%2879%29%29%2F%282%283%29%29\" or \"x=%2820%2B2sqrt%2879%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=2%2810-sqrt%2879%29%29%2F%282%283%29%29\" or \"x=2%2810%2Bsqrt%2879%29%29%2F%282%283%29%29\"
\n" ); document.write( "\"x=%2810-sqrt%2879%29%29%2F3\" or \"x=%2810%2Bsqrt%2879%29%29%2F3\"
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "
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