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Given an RC series circuit that has an emf source of 50 volts, a resistance of 20k ohms, a capacitance of 6 microfarad and the initial charge of the capacitor is 1 microcoulomb. What is the charge in the capacitor at the end of 0.01 second? What is the current in the circuit at the end of 0.05 seconds?
n the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the
angle α = angle BAD which minimizes the distance L, where L = AD + ED
n the right triangle ABC, AB = 2, BC = 4 and ED is a line parallel to AB. Find the
angle α = angle BAD which minimizes the distance L, where L = AD + ED
3. Find the angle of the largest right circular cone which can be inscribed in a sphere of
radius 9 inches.
4. A statue 10 feet high is standing on a base 13 feet high. If an observer’s eye is 5 feet
above the ground, how far should he stand from the base in order that the angle
between his lines of sight to the top and bottom of the statue is a maximum. (How far
should he stand to get the best view of the statue.
5. A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in
width and into a corridor at right angles to the passageway. If the horizontal width of
the girder is neglected, how wide must the corridor be in order that the girder can go
around the corner?
Show that the series 8/(n⁴+x⁴) is uniformly convergent for all real values of x. n=1 to infinity .
Town M and town N are connected by two roads while town N and town P are connected by five roads. How many different routes are there from town M to town P through town N? State your solution and explain
How many ways are possible in answering a true-false test of 5 questions? show your solution and answer
A bag being sold in a store comes in 3 different sizes. Each size is available in 6 different colors. How many different bags could be displayed by the store?
A die and a coin are tossed. How many outcomes are possible? show your solution
A room has 3 doors. In how many ways can an individual make a trip into this room and out again if he must enter and leave only by means of the doors? show your solution and explain
