All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. Assume that f integrable over [3; 3]

Prove that Prim's algorithm produces a minimum spanning tree of a connected weighted graph. Ans: Suppose G be a connected, weighted graph. At each iteration of Prim's algorithm

Example determines the first four derivatives for following. y = cos x Solution: Again, let's just do so

The top of the new rectangular Big Gig Thingamajig is 80 inches long and 62 inches wide. What is the top''s perimeter?

You know the experation for the area of a circle of radius R. It is Pi*R 2 . But what about the formula for the area of an ellipse of semiminor axis of length A and semimajor

Sketch the graph of y = ( x 1) 2  4 . Solution Now, it is a parabola .Though, we haven't gotten that far yet and thus we will have to select

Solve 6 sin ( x/2)= 1 on [20,30] Solution Let's first work out calculator of the way since that isn't where the difference comes into play. sin( x/2)= 1/6 ⇒x/2= sin

 Set builder notation, A={2,3,5,7,11} B={1,3,5,7,9} C={10,20,30,40,......100...
A={2,3,5,7,11} B={1,3,5,7,9} C={10,20,30,40,......100} D={8,16,24,32,40} E={W,O,R,K} F={Red,Blue,Green} G={March,May} H={Jose,John,Joshua,Javier} I={3,6,9,12,15}

Megan bought x pounds of coffee in which cost $3 per pound and 18 pounds of coffee at $2.50 per pound for the company picnic. Find out the total number of pounds of coffee purchase

