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A 1500 gallon tank primarily holds 600 gallons of water along with 5 lbs of salt dissolved into it. Water enters the tank at a rate of 9 gal/hr and the water entering the tank has
Find the area of a circle along with a radius of 6 inches. The formula for the area of a circle is A = πr 2 . Use 3.14 for π. Substitute 6 for r in the formula A = πr 2 and solve
What is a set? Explain various methods to represent a set in set theory. Define the following with the help of suitable examples. (i) Singleton Set
Two reservoirs of equal cross sectional areas (315 m 2 ) and at equal elevations are connected by a pipe of length 20 m and cross sectional area 3 m 2 . The reservoir on the left (
a doctor sees 3 boys to 5 girls in one week . If he sees 40 boys in one day then how many girls does he see that day
These can be expressed in terms of two fundamental operations of addition and multiplication. If a, b and c are any three real numbers, then; 1.
1) Compute the center of mass of the solid of unit density 1 bounded (in spherical coordinates) by p=1 and by φ is greater than or equal 0 and less than or equal pi/4
If the points (5, 4) and (x, y) are equidistant from the point (4, 5), prove that x 2 + y 2 - 8x - 10y +39 = 0. Ans : AP = PB AP 2 = PB 2 (5 - 4) 2 + (4 - 5) 2 = (x
find the no of solution of 2*3*4*5*6*6
Players and spectators enter a ballpark according to independent Poisson processes having respective rates 5 and 20 per hour. Starting at an arbitrary time, compute the probability
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