Hi im stuck on 3 questions from my maths txt book.
questions 7,11, and 12
answers are
7: 0.41
11: 0.94
12: 0.92
my answer for 7 comes up as 5.75, 11 and 12 are off aswell.
thx in advance all help is appreciated.
I'll show you how to do #7. The following questions can be done by the same method:
is to be approximated by 2 stripes:
1. Divide the interval [0, 2] into 2 equal parts: [0, 1], (1, 2]. The length of each part is 1.
2. Calculate
3. Calculate the area of the 2 trapezoids:
Since the upper border of the trapezoids is allways above the curve this value must be slightly too large.
4. The exact value is
sweet thx , these are just a breeze now
i needed to check were im rushing figured out 11. working on 12 now
F(1)=1
F(2)=1/4
F(3)=1/9
F(4)=1/16
F(5)=1/25
h=5-1/4 = 1
1/2((1+1/25)+2(1/4 +1/9+1/16))
= 0.9436....
thx alot they dont seem much of a challenge now.