Construct a circuit diagram for the following Boolean Function:
(BC + A)(A'B' + C') + A'B'C'
Using laws of Boolean Algebra, simplify the function and draw the simplified circuit.
From the following information, find the equation of the Hyperbola and the equation of its Transverse Axis:
Focus: (- 2, 1), Directrix: 2x - 3y + 1 = 0, e =
Find the maximum value of the cylinder which can be inscribed in a sphere of radius cm. (Leave the answer in terms of )
Find the Karl Pearson's co-efficient of correlation between x and y for the following data:
x | 16 | 18 | 21 | 20 | 22 | 26 | 27 | 15 |
y | 22 | 25 | 24 | 26 | 25 | 30 | 33 | 14 |
= = = 0.894
x | y | dx = x - 20 | dy = y - 20 | dx2 | dy2 | dx dy |
16 | 22 | - 4 | - 3 | 16 | 9 | 12 |
18 | 25 | - 2 | 0 | 4 | 0 | 0 |
21 | 24 | 1 | - 1 | 1 | 1 | - 1 |
20 | 26 | 0 | 1 | 0 | 1 | 0 |
22 | 25 | 2 | 0 | 4 | 0 | 0 |
26 | 30 | 6 | 5 | 36 | 25 | 30 |
27 | 33 | 7 | 8 | 49 | 64 | 56 |
15 | 14 | - 5 | - 11 | 25 | 121 | 55 |
5 | - 1 | 135 | 221 | 152 |