گاما رو نصب کن!

{{ number }}
اعلان ها
اعلان جدیدی وجود ندارد!
کاربر جدید

جستجو

پربازدیدها: #{{ tag.title }}

جستجوهای پرتکرار

میتونی لایو بذاری!

The diagram shows the curve $y = \surd \left( {1 + {x^3}} \right)$. Region $A$ is bounded by the curve and the lines $x = 0$, $x = 2$ and $y = 0$. Region $B$ is bounded by the curve and the lines $x = 0$ and $y = 3$.

a) Use the trapezium rule with two intervals to find an approximation to the area of region $A$. Give your answer correct to 2 decimal places.

b) Deduce an approximation to the area of region $B$ and explain why this approximation under estimates the true area of region $B$.

پاسخ تشریحی :
نمایش پاسخ

a) Show or imply correct ordinates $1$, $\sqrt 2 $ or $1.414$, $3$

Use correct formula, or equivalent, with $h = 1$

Obtain $3.41$

b) Obtain 6 – 3.41 and hence 2.59, following their answer to (a) provided less than 6

Refer, in some form, to two line segments replacing curve and conclude with clear justification of given result that answer is an under-estimate.

تحلیل ویدئویی تست

تحلیل ویدئویی برای این تست ثبت نشده است!