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 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)

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)

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 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 ?

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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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