If both the coefficients of regression between x and y are 0.8 and 0.2, then the coefficient of correlation between them will be
0.4
0.6
0.3
0.5
Which of the following function is inverse of itself
g(x) = 5log(x)
h(x) = 2x(x - 1)
None of the above
Let f : R R be a differentiable function and f(1) = 4. Then, the value of is
8f'(1)
4f'(1)
2f'(1)
f'(1)
If f''(x) = - f(x) and g(x) = f'(x) anf F(x) = and given that F(5) = 5, then the value of F(10) is
15
0
5
10
A function g defined for all real x > 0 satisfies g(1) = 1, g'(x2) = x3 for all x > 0, then value of g(4) is
3
None of these
The value of is
None of these
D.
None of these
A particle moving on a curve has the position at a time t is given by x = f'(t)sin(t) + f'(t)cos(t), y = f'(t)cos(t) - f'(t)sin(t), where f is a twice differentiable function. Then, the velocity of the particle at time t is
f'(t) + f''(t)
f'(t) - f''(t)
f'(t) + f'''(t)
f'(t) - f''(t)