MTH301 Midterm Short Questions

MTH301 · Current Mid term paper · Subjective Question

Q21. Suppose the surface f (x,y,z) has continuous partial derivatives at the point (a,b,c). Write down the equation of tangent plane at this point

Q22. Evaluate the following double integral

(12 xy x dy dx

Q23. Evaluate the following double integral

(3 x y dx dy

Q24. Let f(x, y, z) = xy2 ez

Find the gradient of f.

Q25. Find, Equation of Tangent plane to the surface f(x, y, z) = x2 + y2 + z -9 at the point (1, 2, 3)

Q26. Use double integral in rectangular co-ordinates to compute area of the region bounded by the curves y = x2 and y

x