Maths Questions and Answers List

Verify that ∫2x-1/2x+3 dx = x-log |(2x+3)2|+C .
Maths | (1 Answers)
Show that for a ≥ 1,f(x) = √3 sin x - cos x - 2ax + b is decreasing in R.
Maths | (1 Answers)
Find dy/dx when x and y are connected by the relation tan-1 (x2+y2)= a
Maths | (1 Answers)
Find the points of local maxima, local minima and the points of inflection of the function f(x) = x5-5x4+5x3-1.
Maths | (1 Answers)
If the sum of the hypotenuse and a side of a right angled triangle is given, show that the area of the triangle is maximum when the angle between them is π/3 .
Maths | (1 Answers)
Find dy/dx when x and y are connected by the relation if x = ex/y, prove that dy/dx = x-y/x log x .
Maths | (1 Answers)
Find dy/dx when x and y are connected by the relation sin(xy) x/y = x2 - y.
Maths | (1 Answers)
Prove that f(x) = sin x + √3 cos x has maximum value at x = π/6
Maths | (1 Answers)
Show that f(x) = tan-1(sinx + cosx) is an increasing function in (0,π/4) .
Maths | (1 Answers)
Two men A and 8 start with velocities v at the same time from the junction of two roads inclined at 45° to each other.
Maths | (1 Answers)
Find the approximate value of (1.999)5.
Maths | (1 Answers)
Find an angle θ,0< θ< π/2, which increases twice as fast as its sine.
Maths | (1 Answers)
A kite is moving horizontally at a height of 151.5 meters. If the speed of kite is 10m/s,
Maths | (1 Answers)
Find dy/dx when x and y are connected by the relation (x2 + y2)2 = xy.
Maths | (1 Answers)
Find dy/dx when x and y are connected by the relation if ax2 + 2hxy + by2 + 2gx + 2fy + c = 0, then show that dy/dx.dx/dy = 1.
Maths | (1 Answers)
Find dy/dx when x and y are connected by the relation sec(x+y) = xy.
Maths | (1 Answers)
Differentiate x/sinx w.r.t.x sin x.
Maths | (1 Answers)
If A = [2, λ, -3, 0, 2, 5, 1, 1, 3|, then A-1 exists if
Maths | (1 Answers)
If A and B are invertible matrices, then which of the following is not correct ?
Maths | (1 Answers)
If x = 3 sin t - sin 3t, y = cos t - cos 3t, find dy/dx at t = π/3.
Maths | (1 Answers)
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