The differential equation whose solution represents the family y = ae3x + bex is given by
None of the above
A curve is drawn to pass through the points given by the following table.
x | 1 | 1.5 | 2 | 2.5 | 3 | 3.5 | 4 |
y | 2 | 2.4 | 2.7 | 2.8 | 3 | 2.6 | 2.1 |
Using Simpson's 1/3rd rule, estimate the area bounded by the curve, the x-axis and the lines x = 1, x = 4
7.47 sq units
7.76 sq units
7.78 sq units
7.82 sq units
Which of these methods for numerical integration is also called as parabolic formula?
Simpson's one-third rule
Simpson's three-eighth's rule
Trapezoidal rule
None of the above
Calculate by Trapezoidal rule an approximate value of by taking seven equidistant ordinates
98
97.2
100
115
D.
115
We know the trapezoidal rule
Now,
x | - 3 | - 2 | - 1 | 0 | 1 | 2 | 3 |
x4 | 81 | 16 | 1 | 0 | 1 | 16 | 81 |