Question

trapezoidal rule

Answer 1

solve:
\[\int\limits_{9}^{16}\sqrt{x}\]

Answer 2

this is my approach but its not getting me the right answer:
\[\int\limits_{9}^{16{x}}\sqrt{x}\approx \int\limits_{9}^{10}\sqrt{x}+ \int\limits_{10}^{11}\sqrt{x}+\int\limits_{11}^{12}\sqrt{x}+\int\limits_{12}^{13}\sqrt{x}+\int\limits_{13}^{14}\sqrt{x}+\int\limits_{14}^{15}\sqrt{x}+\int\limits_{15}^{16}\sqrt{x}\]

Answer 3

\[\approx 1/2(3+\sqrt{10}) + 1/2(\sqrt{10}+\sqrt{11}) + 1/2(\sqrt{11}+\sqrt{12}) + 1/2(\sqrt{12}+\sqrt{13}) + 1/2(\sqrt{13}+\sqrt{14}) + 1/2(\sqrt{14}+\sqrt{15}) +1/2(\sqrt{15}+4)\]

Answer 4

Hi and, please write down the problem.

Answer 5

solve using the trapezoidal rule:
\[\int\limits_{9}^{16}\sqrt{x}\]

rounding to three significant figures

Answer 6

into how many sub intervals?

Answer 7

my answer is 20.9 and the answer in the text book is 27.9

Answer 8

i dont know where i went wrong this time

Answer 9

8 sub intervals

Answer 10

sorry 7 intervals

Answer 11

I got 24.66
http://www.wolframalpha.com/input/?i=%281%2F2%29%28sqrt%289%29%2B2sqrt%2810%29%2B2sqrt%2811%29%2B2sqrt%2812%29%2B2sqrt%2813%29%2B2sqrt%2814%29%2B2sqrt%2815%29%2Bsqrt%2816%29%29

Answer 12

Could you post the complete question exactly like what you have on your book?

Answer 13

ok one second

Answer 14

(a)complete this table of values for the function\[y=\sqrt{x}\]

x 9 10 11 12 13 14 15 16
y

(b) use the trapezoidal rule with the eight function values above to estimate \[\int\limits_{9}^{16}\sqrt{x} \]

give your answers correct to three significant figures

Answer 15

wait you answer is right lol i rechecked the answer its 24.7

Answer 16

:D

Answer 17

sorry lol can u see where i went wrong

Answer 18

I am not sure, but it seems you forgot to add one of the expression when you plug in into your calculator.

Answer 19

ok ill try it out again

Answer 20

lol your right i left out one expression its 1 o clock in the morning lol im doing alot of stupid mistakes