CEEB TOOM: Txoj Cai Trapezoidal overestimates ib nkhaus uas yog concave thiab underestimates functionsuas yog concave down. EX 1: Kwv yees thaj tsam hauv qab ntawm lub sijhawm [0, 3] siv txoj cai Trapezoidal nrog n=5 trapezoids. Qhov kwv yees thaj tsam ntawm qhov nkhaus thiab xaxis yog qhov suav ntawm plaub lub trapezoids.
Koj paub li cas yog tias tus lej trapezoidal overestimate lossis underestimate?
Yog li yog txoj cai trapezoidal underestimates cheeb tsam thaum lub nkhaus yog concave down, thiab overestimates cheeb tsam thaum lub nkhaus yog concave, ces nws ua rau kev txiav txim siab tias txoj cai trapezoidal yuav nrhiav tau ib cheeb tsam thaum lub nkhaus yog ib tug txoj kab ncaj nraim, lossis thaum muaj nuj nqi yog ib txoj kab ua haujlwm.
Puas yog cov txiaj ntsig trapezoidal ib tus lej Riemann?
Txoj Cai Trapezoid yog ib daim ntawv ntawm Riemann's Summs, tab sis nws siv trapezoids tsis yog duab plaub. Tsis tas li ntawd, qhov no piav qhia vim li cas kev koom ua ke ua haujlwm, kev koom ua ke yuav siv sij hawm qhov txwv raws li tus naj npawb ntawm cov duab mus txog infinity.
Dab tsi yog tus lej trapezoidal hauv kev suav lej?
Nyob rau hauv Calculus, "Trapezoidal Rule" yog ib txoj cai tseem ceeb ntawm kev sib koom ua ke. Lub npe trapezoidal yog vim hais tias thaum lub cheeb tsam nyob rau hauv lub nkhaus raug soj ntsuam, ces tag nrho cov cheeb tsam muab faib ua me me trapezoids es tsis txhob ntawm cov duab plaub.
Qhov txawv ntawm txoj cai trapezoidal thiab Simpson txoj cai yog dab tsi?
Ob txoj cai siv dav rau thaj chaw kwv yees yog txoj cai trapezoidal thiab Simpson txoj cai. … Cov nuj nqis muaj nuj nqi ntawm ob lub ntsiab lus hauv lub sijhawm yog siv nyob rau hauv qhov kwv yees. Thaum Simpson txoj cai siv ib qho kev xaiv parabolic uas tsim nyog (saib Tshooj 4.6 ntawm cov ntawv nyeem) thiab siv lub luag haujlwm ntawm peb cov ntsiab lus.
