Important / Practice questions of Mathematics 1 | M1 PYQ | UEC Journalism Society

Important/Practice Questions

Define radius of curvature. Find the curvature, the radius of curvature and the centre of the circle of curvature for the curve y=x² - 6x + 10 at (3,1).

Discuss the necessary and sufficient conditions for a function to have an extremum Find the absolute maximum and minimum values of the function f(x,y)=3x²+ y²-x over the region 2x² + y² ≤1 .

Find the volume of the solid in the first octant bounded by the paraboloid := 36-4x²-9y²

Explain consistency of homogenous system of linear equations. For what values of A and ú the following equations x+y+z = 6,x+2y+3z = 10,x+2y+Az = ú have no solution, a unique solution and infinite number of solution.

Verify Rolle's Theorem for the Function f(x) = (x-a)^m (x-b)^n in [a,b] where m, n are positive integer .

Discuss Maxima and minima U = x³y² (1-x-y)

Expand Log↓e x in power of (x-1) and hence evaluate log↓e 11 correct to 4 decimal places

Find the first order partial derivate, of the function F(x,y) = sin(2x+y) at point (x, y) from the first Principal .

Find the volume bounded by the surface 42 = 16-x² - y² and the plane z = 0.

Find general solution and singular solution of y=-px+x⁴p² .

Prove that eigen values of an idempotent matrix are either zero or unity.

Find the maxima or minima of the function sinx + siny + sin(x + y).

* Questions will be updated , check regularly.

* Because of change in syllabus some questions can be of M2 also So please check your syllabus before attempting these questions .

* Practice your MST questions also .

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