RAM : With an Equation or a table
1. Given the equation: y = x2 + 1 and the interval [0,2]
Estimate the area under the curve with 4 partitions using:
a. LRAM
b. MRAM:
c. RRAM:
2. Given the equation: y = 2 x + 1 and the interval [0,2]
Estimate the area under the curve with 4 partitions using:
a. LRAM:
b. MRAM:
c. RRAM:
3. f(x) is a continuous function. Selected values of f(x) are given in the table below.
x
-1 0
1.5 3
4
f(x) 5
7
2
6
1
a. Use LRAM to approximate the area under the curve on the interval [ –1, 4].
b. Use RRAM to approximate the area under the curve on the interval [ –1, 4].