oh yeah i forgot to put this
Let f be a function that is twice differentiable for all real numbers. The table above gives values of f for selected ponts on the closed interval 2 <or= x <or= 13
and yes this is from the AP test... my teacher is making us do all of them from the test.
Homework Statement
(x, f(x))
(2,1)
(3,4)
(5,-2)
(8,3)
(13,6)
A) Estimate f '(4). Show work.
B) Evaluate the Intergral from 2 to 13 of (3 - 5f '(x))dx. show work
C) Use left riemann sum with subintervals indicated bye the data in the table to apporoximate the intergral from 2 to 13 of...
Homework Statement
A diver leaps from the edge of a diving platform into a pool. At time t seconds after she leaps, the horizontal distance from the front edge of the platform to the diver's shoulders is given by x(t), and the vertical distance from the water surface to her shoulders is given...
Telescoping series -
(b sub 1 - b sub 2)+(b sub 2 - b sub 3)+(b sub 3 - b sub 4)+ ...
Sum = (b sub 1) - lim (b sub n+1)
So with the telescoping series I get
3[ lim (1/8) - 1/(x+9)]
But that's not right... umm...
are you sure that is a telescoping series?
(1/8 -...
Sum of convergent series HELP!
Homework Statement
Find the sum of the convergent series -
the sum of 6 / (n+7)(n+9) from n=1 to infinity (∞)
A) 31/24
B) 45/56
C) 8/11
D) 17/24
E) 23/24
2. The attempt at a solution
I was looking in the book and they had one example that was kinda...