Solution of sinx + sin5x = sin 3x in (0,ℼ/2) are..?
Differentiate tan−1(1+x2−1x) w.r.t cos−1((1+1+x2)2(i+x2))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)})tan−1(x1+x2−1)w.r.tcos−1(2(i+x2)(1+1+x2))
Variance of first 2n natural numbers?
Solution of (1+xy) y dx+ (1-xy)x dy=0 is?
If 1+(√1+x)tanx=1+(√1−x)1+ (√1+x) tanx = 1+ (√1-x)1+(√1+x)tanx=1+(√1−x) then sin4xsin4xsin4x 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
Find the coordinates of the point where the line through A (9, 4 , 1) and B (5, 1, 6) crosses X axis ?
Lim x -> 0 x.cot4x / (sin2x cot2(2x))
Solve for x, given tan-1 (1 - x/1 + x) = ½ tan-1x
If a, b, c are position vectors of points A, B, C respectively, with 2a + 3b -5c = 0 , then the ratio in which point C divides segment AB is
For three simple statements p, q, and r, p → (q ˅ r) is logically equivalent to
If surrounding air is kept at 20 °C and body cools from 80 °C to 70 °C in 5 minutes, then the temperature of the body after 15 minutes will be
The equation of the line perpendicular to 2x – 3y + 5 = 0 and making an intercept 3 with positive Y-axis is
With reference to the principal values, if sin-1x + sin-1y + sin-1z = 3π2\frac {3π}{2}23π, then x100 + y100 + z100 =?
If the standard deviation of first n natural numbers is 2, then the value of n is
lim(x→0)(1+tanx1+sinx)cosecx(\frac {1+tanx}{1+sinx})^{cosec x}(1+sinx1+tanx)cosecx = ?