calculus 2 questions!! urgent!!

[siabdelh]

Hi

I honestly have no clue on how to approach these questions and I dont understand them. I also have a midterm the following week. If someone can please show me how I would do these questions step by step I will be so grateful.

1-The iterated integral J = integral b=8, a= 1(integral b=41-x, a= 40/x, f(x,y) dy) dx is the double integral of f(x,y)

over a planar region R. Reversing the order , the integral is expressible in the form


J = integral b,a (integral b=8, a=c f(x,y) dx) dy + integral b=p, a=q (integral b=v, a=u f(x,y) dx) dy. Find a , c , p , and v.

2-Find the volume of the wedge cut from the first octant by the surface z = 45 - 5y^2 and the vertical plane x + y = 3.

3-Let f(x) be a function such that - 9 ≤ f"(x) ≤ 3 , for x∈[2 , 4] and let J= (integral b=4 , a= 2) dx.
Find the maximum absolute error involved in approximating the integral J

using the Trapezoid Rule T10.
[h=2][/h]

 

[stapel]

I honestly have no clue on how to approach these questions and I dont understand them.

Then the first step would be to study lessons over the necessary topics, so that you understand enough to know what the questions are asking and what techniques might be useful to apply. However, it will be helpful if you provide at least some guidelines for the information you need.

3-Let f(x) be a function such that - 9 ≤ f"(x) ≤ 3 , for x∈[2 , 4] and let J= (integral b=4 , a= 2) dx.
Find the maximum absolute error involved in approximating the integral J using the Trapezoid Rule T10.

Do you know what "the Trapezoid Rule" is? Do you know what is meant by "T10"? If so, please provide that information. If not, we can find you some lesson links.

1-The iterated integral J = integral b=8, a= 1(integral b=41-x, a= 40/x, f(x,y) dy) dx is the double integral of f(x,y) over a planar region R. Reversing the order , the integral is expressible in the form J = integral b,a (integral b=8, a=c f(x,y) dx) dy + integral b=p, a=q (integral b=v, a=u f(x,y) dx) dy. Find a , c , p , and v.

Do you know what "integrals" are? Do you know what "iterated" means? Do you know what a "planar region" is? Do you know how to "reverse the order" of integral limits?

2-Find the volume of the wedge cut from the first octant by the surface z = 45 - 5y^2 and the vertical plane x + y = 3.

Do you know what "octants" are? Have you ever found "area" or "volume" by integration?

Thank you!