Question

We want to use the left Riemann Sum to approximate the area under the curve
f(x) = 2x2 - 1 between x = 1 and x = 4 using n = 3 rectangles.
What is the width of each rectangle?
A- 1
B- 1/2
C- 3
D- 4

Which expression is the approximation?
A- f(1) delta x + f(2) delta x + f(3) delta x
B- f(2) delta x + f(3) delta x + f(4) delta x
C- f(1) delta x + f(1.5) delta x + f(2) delta x + f(2.5 delta x
D- f(1) delta x +f(2) delta x + f(3) delta x + f(4) delta x

What is the height of the first ( leftmost) rectangle?
A- 1
B- 7
C- -1/2
D- 0

What is the approximate area?
A-22
B-55
C-56
D-127/2

What will be the value for deltax?
A- 1/2
B-2
C- 4
D-1