Project #36934 - Intergration

 

1.

 

A) Find area of the largest rectangle with lower base on x axis and upper vertices on the parabolc y=27-x^2

 

B) A rectangular garden 450ft^2 in area is to be fenced off against rabbits. If one side of the garden is protected by a barn wall find the minimum amount of fencing needed

 

2. y= x/x^2+4

 

3. Find the area bounded by f(x)= 16-x^2 and the x axis from x=1 to x=3 using 4 rectangles. (s and S – this is just a approximation.)

 

4. Find the area bounded by f(x)= 3x+4 and the x axis from x=1 to x=6 using the limit of sum process with n rectangles (long method)

 

5. If dy/dx = x^2+4 and y(2)=3 find y(x)

 

6.

 

7.Find the area bounded by y=4x-x^2 and the x axis

 

8.  A) ∫(cosx + sec^2 4x) dx

 

     B) ∫ dx/(2x^2)^3

 

9. ∫

 

10 du

 

11.

 

12.

 

13.  dx

 

14.  dx

 

15.  set up

 

16.

 

17. Given  f(x)dx=-4 and  find

 

A)                   B)       C)

 

Subject Mathematics
Due By (Pacific Time) 08/01/2014 10:00 pm
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