Three vectors a, b and c are given. Find the equation of a vector that lies in the plane of vector a and vector b and whose projection on vector c is 1/√3.
Differentiate \(tan^{-1}(\frac{\sqrt{1+x^2}-1}{x}) \,w.r.t\,\,cos^{-1}(\frac{\sqrt(1+\sqrt{1+x^2})}{2\sqrt({i}+x^2)})\)
Find variance of first 2n natural numbers.
Mean + Variance = 1.8, n = 5, Find p(probability of success).
-{tan(1/x) - (1/x)} + c
Rolle Theorem f(x) = sin x + cos x. Find c ε [0,2,π]
Variance of first 2n natural numbers?
Solution of (1+xy) y dx+ (1-xy)x dy=0 is?
The principal value of sin-1(sin 3ℼ/4) is?
If x dy= y(dx + ydy), x(1)=1, y(x)>0, then y (-3) is?
If \(1+ (√1+x) tanx = 1+ (√1-x)\) then \(sin4x\) is ?
The area spherical balloon of radius 6 cm increases at the rate of 2 then find the rate of increase in the volume.
Out of five siblings, what is the probability that the eldest and youngest children have the same gender?
If ax + by + c = 0 is normal to xy = 1, then determine if a and b are less than, greater than, or equal to zero.
Find the general solution of the differential equation: cosx (1 + cosy) dx - siny (1 + sinx) dy = 0