Search
Design a program that will print 7 random numbers using the while looping statement and modulo operator.
15. Let
f(x,y) { 0, x² < y < 2x² 1. otherwise
Verify the existence of partial derivatives fr(0,0) and f(0, 0), and the differentiability of fat (0,0).
If labor and capital can be substituted for each other
in the production of both commodities, when can
we say that one commodity is capital intensive and
the other labor intensive?
If the distance of an object is 23 cm in the focal length is -7 what is the distance of the image
A cylinder of mass m and radius R has a moment of inertia of 12mr2. The cylinder is released from rest at a height h on an inclined plane, and rolls down the plane without slipping. What is the velocity of the cylinder when it reaches the bottom of the incline?
A projectile is fired with an initial velocity of 60 m/sec. Upward at an angle of 30° to the horizontal from a point 80m above a level plain. What horizontal distance will it cover before it strikes the plain?
A 9 microcoulomb test charge moves along +x-axis at a speed of 300,000 m/s in the region of 0.75 T magnetic field. Determine the magnetic force on the charge if (a) the field is out of the page; (b) the field is into the page; (c) the field is
downward; (d) the field is upward; (e) the field is 30° above horizontal.
Two concentric solenoids carry currents in opposite directions. The inner solenoid has 50 turns per cm. The outer
solenoid has 20 turns per cm. The inner coil carries a current of 0.5 A. (a) Calculate the current needed in the
outer coil so that its fields cancels the field produced by the inner coil. (b) How large a field is produced by the
inner coil?
Consider the monopoly version of the hidden information problem. Suppose that both agents have the same cost function but different reservation levels of utility. How does the analysis change?
2. Starting from one oasis, a camel walks 25 km in a direction 30° South of West and then walks 30 km toward the North to a second oasis. What distance separates the two oases? You may use triangle method or component method.
