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.
Verify Lagrange's Mean value theorem for the function f(x) = in the interval [1, 4].
Given,
(i) f(x) is continuous in [1, 4]
(ii) f(x) is differentiable in (1, 4)
Therefore, all the conditions of Lagrange's Mean value theorem are satidfied.
Squaring both sides,
Clearly c = 3/2 lies between 1 and 4.
Lagrange's Mean Value theorem is verified.
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 |