GATE EE 2021 : Engineering Mathematics Quiz 6

 then y has a maximum at x = ____________

The partial differential equation

Consider a function f (x, y, z) given by


The partial derivative of this function with respect to x at the point, x = 2, y = 1 and z = 3 is ________

Find the absolute minimum value of a function, f(x) = 2x³ – 15x² + 36x + 1 in the interval [1, 5].

The area enclosed by the parabola x² = 8y and the line x – 2y + 8 = 0 is

Find by double integration the volume of the solid generated by revolving the ellipse about the x-axis.