how to find cube root of 3.86 x 10 raise to power 7

Asked by Farooq Ahmad Shah | 1st Jun, 2015, 11:32: PM

Expert Answer:

x equals 35937 cross times 10 cubed x plus h equals 3.86 cross times 10 to the power of 7 equals 38600 cross times 10 cubed increment x equals 38600 cross times 10 cubed minus 35937 cross times 10 cubed equals 2663 cross times 10 cubed f left parenthesis x right parenthesis space equals space x to the power of bevelled 1 third end exponent f apostrophe left parenthesis x right parenthesis equals fraction numerator 1 over denominator 3 cube root of x squared end root end fraction f left parenthesis x plus h right parenthesis equals f left parenthesis x right parenthesis plus increment x. f apostrophe left parenthesis x right parenthesis f open parentheses 38600 cross times 10 cubed close parentheses equals f open parentheses 35937 cross times 10 cubed close parentheses plus 2663 cross times 10 cubed. fraction numerator 1 over denominator 3 cube root of open parentheses 35937 cross times 10 cubed close parentheses squared end root end fraction equals left parenthesis 33 cubed cross times 10 cubed right parenthesis to the power of bevelled 1 third end exponent plus 2663 cross times 10 cubed. fraction numerator 1 over denominator 3 cube root of open parentheses 35937 cross times 10 cubed close parentheses squared end root end fraction equals 33 cross times 10 plus 2663 cross times 10 cubed. fraction numerator 1 over denominator 3 cross times 33 squared cross times 10 squared end fraction equals 330 plus 2663 cross times 10 cubed. fraction numerator 1 over denominator 3 cross times 33 squared cross times 10 squared end fraction equals 330 plus fraction numerator 2663 over denominator 1089 cross times 3 cross times 100 end fraction equals 330 plus fraction numerator 2663 over denominator 3267 cross times 100 end fraction equals 330 plus fraction numerator 0.81 over denominator 100 end fraction equals 330 plus 0.0081 equals 330.0081

Answered by Prasenjit Paul | 2nd Jun, 2015, 12:18: PM