Mathematical tools Questions

Find the derivative of:

The minimum value of is;

The value of using binomial approximation is;

The sum of the following arithmetic progression: 50, 46, 42, .... upto 10 terms is;

Which of the following statement is correct based on graph of y versus x as shown below?

What is the value of (sin30° cos15°) + (cos30° sin15°)?

Find angle (in degrees) subtended by a circular arc of radius 6 cm and length π cm at its centre.

Find the value of cos105° + cos75°.

is equal to

If acceleration due to gravity g at height h << R (where R is radius of earth) is , then using binomial theorem which is correct?

Using Binomial approximation find the value of (99)1/2.

Find value of e-∞

Calculate (1001)1/3.

Using integration, the work done by a variable force F = kx from x=0 to x=d is:

A vector A of magnitude 10 N makes an angle of 60° with the x-axis. Its x-component is:

The second derivative d²x/dt² represents which physical quantity (x = displacement, t = time)?

Which of the following is correct for small angles (θ in radians)?

The projection of vector A along vector B is:

The definite integral ∫₀² x dx equals:

If y = uv (product of two functions), then dy/dx by product rule is:

The value of sin 30° is:

î × î equals:

The integral ∫sin(x) dx is:

The angle between vectors A = î + ĵ and B = î - ĵ is:

For the function y = eˣ, the value of dy/dx is:

The derivative of sin(x) with respect to x is:

If A = 3î + 4ĵ, the magnitude of vector A is:

The integral ∫xⁿ dx (n ≠ -1) is:

If y = xⁿ, then dy/dx is:

The cross product of two vectors A and B inclined at angle θ has magnitude:

The dot product of two vectors A and B inclined at angle θ is:

The value of sin²θ + cos²θ is:

Find angle (in degrees) subtended by a circular arc of radius 6 cm and length π cm at its centre.

Find the value of cos105° + cos75°.

√(1 + sinθ) is equal to:

If acceleration due to gravity g at height h << R (where R is radius of earth) is gh = g0(1 + h/R)−2, then using binomial theorem which is correct?

Using Binomial approximation find the value of (99)1/2.

Find the value of e−∞.

If tanθ = 4/3, find the value of sinθ.

Calculate (1001)1/3.

The value of √101 using binomial approximation is;

The sum of the following arithmetic progression: 50, 46, 42, …. upto 10 terms is;

Which of the following statements is correct based on graph of y versus x as shown below?

If y = sinx & x = 3t then will be:

The value of ∫(x-1 )(x-2) dx is; (c = integration constant)