\( \int \left( \frac{1}{7} - 6x - x^2 \right) \, dx \)
The sum of mean and variance of a given set is 15/2 and their number of trials is 10, then find the value of variance?
The differential equation dy/dx=√1-y2/y determines a family of circles with
Solve for x, given \( \tan^{-1}\left(\frac{1 - x}{1 + x}\right) = \frac{1}{2} \tan^{-1}(x) \)
If \(1+ (√1+x) tanx = 1+ (√1-x)\) then \(sin4x\) is ?
If x dy= y(dx + ydy), x(1)=1, y(x)>0, then y (-3) is?
The principal value of sin-1(sin 3ℼ/4) is?
Solution of sinx + sin5x = sin 3x in (0,ℼ/2) are..?
Solution of \( (1 + xy) \, y \, dx + (1 - xy) \, x \, dy = 0 \) is?
Variance of first 2n natural numbers?
Rolle Theorem f(x) = sin x + cos x. Find c ε [0,2,π]
Differentiate \(tan^{-1}(\frac{\sqrt{1+x^2}-1}{x}) \,w.r.t\,\,cos^{-1}(\frac{\sqrt(1+\sqrt{1+x^2})}{2\sqrt({i}+x^2)})\)
Mean + Variance = 1.8, n = 5, Find p(probability of success).
Find variance of first 2n natural numbers.