H(x)=(8/(x−2)) and f(x)=((x^2 +3x+6)/(2x−4)) 1)Calculate the surface V_n of area limited by the the line x=6; x=6+n (n∈N^∗ ) and the curve of H(x) and f(x) in function of n. 2) Knowing that 1^2 +2^2 +...+n^2 =((n(n+1)(2n+1))/6) Deduct the value of S_n =V_1 +V_2 +...+V_(n ) in funtion of n . 3) Determinate the smallest integer n such that S


Question and Answers Forum

All Questions Topic List
None Questions
Previous in All Question Next in All Question
Previous in None Next in None
Question Number 137321 by mathocean1 last updated on 01/Apr/21

$H (x) = \frac{8}{x - 2} a n d f (x) = \frac{x^{2} + 3 x + 6}{2 x - 4}$ $1) C a l c u l a t e t h e s u r f a c e V_{n} o f$ $a r e a l i m i t e d b y t h e t h e l i n e$ $x = 6; x = 6 + n (n \in N^{*}) a n d t h e$ $c u r v e o f H (x) a n d f (x) i n f u n c t i o n$ $o f n .$ $2) K n o w i n g t h a t 1^{2} + 2^{2} + . . . + n^{2} = \frac{n (n + 1) (2 n + 1)}{6}$ $D e d u c t t h e v a l u e o f$ $S_{n} = V_{1} + V_{2} + . . . + V_{n} i n f u n t i o n$ $o f n .$ $3) D e t e r m i n a t e t h e s m a l l e s t$ $i n t e g e r n s u c h t h a t S_{n} > 100$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum