Just a few checks and a few questions..yes or no will do from most answers thanks =P
1: d/dx of int between x and 1:t^2-2t+3
I got x^2-2x+3..hard huh...
2: find the area between x=3y and x=2+y^2
I got 1/6
3: find the volume of the region bounded by y=4-x^2 and y=0 which is rotated about the x axis:
i got 6pi
4: the base of a solid v is bounded by y=x^2 and y=2-x^2. find the volume if v has square cross sections
I got 32/15 (2.1333333333)
5: a particle has the velocity v(t)=t-1/4*t^2
a) Find: the displacement between 0 and 6 seconds:
b) Explain what this means
c) find the distance travelled between 0 and 6 seconds
d) find the average velocity between 0 and 4 seconds
b) it has arrived back at the starting point
d) help me with this one please
6) use simpsons rule with 4 subsections to approximate the area under sqrt(x-1) between 2 and 5.
I know the answer should be 14/3 however due to the errors in the small amount of subsections could my answer of 6.22 be counted as correct..please try this out yourself with only 4 subsections and see what you get.
7) find the error bound in the result above
i got 1.23596x10^-3, is this correct and can someone please provide the forumla for it too