example of calculus problems

Define The graph of the function is as follows: f(x) is increasing, because Since 2 - 1 < 3 - 1 (ii) f is said to strictly increasing in the interval I if For example..

Verify mean value theorem for the function f (x) = (x - 4) (x - 6) (x - 8) in [4,..

Find the local maxima and local minima of the function f (x) = 2x 3 - 21x 2 + 36x - 20. Find also the local maximum and local minimum value..

Find the equation of the tangent to the curve which is parallel to the line 4x - 2y + 5 = ..

Solve the differential equation , ..

Let f(x) = x 2 -1, g(x) = 3x-1 Domain f = R Domain g = R fog (x) = f [g(x)] (range of g C domain of f ) = f(3x-1) = (3x-1) 2 - 1 = 9x 2 + 1 - 6x - 1 = 9x 2 - 6x Domain fog ..

is a proper rational function. This can be expressed as are the partial fractions. \ The given proper rational function is resolved into two simpler rational fractions. Note that the denominators of the rational functions are resolved into facto..

Sketch the curve y = - sin 2x ...

A balloon which always remain spherical is being inflated by pumping in 900 cubic centimetres of gas per second. Final the rate at which the radius of the balloon increasing when the radius is 15cm. Let r and V be the variables for radius and volume of the balloon respectively. We have to find ..