HSC Commerce कक्षा ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions for Business Mathematics and Statistics

Calculate the correlation coefficient from the following data:

∑X = 125, ∑Y = 100, ∑X² = 650, ∑Y² = 436, ∑XY = 520, N = 25

Determine whether the following function is odd or even?

f(x) = `((a^x - 1)/(a^x + 1))`

Determine whether the following function is odd or even?

f(x) = `log (x^2 + sqrt(x^2 + 1))`

Determine whether the following function is odd or even?

f(x) = sin x + cos x

Determine whether the following function is odd or even?

f(x) = x² – |x|

Determine whether the following function is odd or even?

f(x) = x + x²

Let f be defined by f(x) = x³ – kx² + 2x, x ∈ R. Find k, if ‘f’ is an odd function.

If f(x) = `x^3 - 1/x^3`, then show that `"f"(x) + "f"(1/x)` = 0

If f(x) = `((x + 1)/(x - 1))`, then prove that f(f(x)) = x.

For f(x) = `(x - 1)/(3x + 1)`, write the expressions of `"f"(1/x) and 1/("f"(x))`

If f(x) = e^x and g(x) = log_e x then find (f + g)(1)

If f(x) = e^x and g(x) = log_e x then find (fg)(1).

If f(x) = e^x and g(x) = log_e x then find (3f) (1).

If f(x) = e^x and g(x) = log_e x then find (5g)(1).

Draw the graph of the following function:

f(x) = 16 – x²

Draw the graph of the following function:

f(x) = |x – 2|

Draw the graph of the following function:

f(x) = x |x|

Draw the graph of the following function:

f(x) = e^2x

Draw the graph of the following function:

f(x) = e^-2x

Draw the graph of the following function:

f(x) = `|x|/x`