Let L n denote the left-endpoint sum using n subintervals and let R n denote the corresponding right—endpoint sum. In the following exercises, compute the indicated left and right 5111115 for the given functions on the indicated interval. 15. R 6 for f ( x ) = 1 x ( x − 1 ) on [2, 5]
Let L n denote the left-endpoint sum using n subintervals and let R n denote the corresponding right—endpoint sum. In the following exercises, compute the indicated left and right 5111115 for the given functions on the indicated interval. 15. R 6 for f ( x ) = 1 x ( x − 1 ) on [2, 5]
Let Ln denote the left-endpoint sum using n subintervals and let Rn denote the corresponding right—endpoint sum. In the following exercises, compute the indicated left and right 5111115 for the given functions on the indicated interval.
Help evaluate each sum, considering f(x) = x2, g(x) = 3x, and h(x) = 2/x
Use rectangles to estimate the area under the graph of f(x) = 4 - x², above
the x-axis and from x = = 0 to x = 2 by dividing the interval [0, 2] into four subintervals.
Compute the left sum L₁: use the function values at the left-end point
of the each subinterval for the height of the rectangle. Shade the rectangles. Is L4
an underestimate or overestimate of the true area?
32
2
1
Y
0
1/2
Compute the right sum R4: use the function values at the right-end point
of the each subinterval for the height of the rectangle. Shade the rectangles. Is R4
an underestimate or overestimate of the true area?
Find the numerical value of the following expression by finding the pattern. Without using the summation function of the calculators. (1−1/4)(1−1/9)(1−1/16)(1−1/25)(1−1/36)...(1−1/1276900)