Question

Find the equation of the line that is tangent to the curve y=√x and is parallel to the line y= 3x -6

Music is been played in two opposite galleries with certain group of people. In the first gallery a group of 4 singers were singing and in the second gallery 9 singers were singing. The two galleries are separated by the distance of 70 m. Where should a person stand for hearing the same intensity of the singers voice? (Hint: The ratio of the sound intensity is equal to the square of the ratio of their corresponding distances).

• Show that the relation R in the set Z of all integer  defined

Number of numbers between 100 to 500 which are divisible by 7 but not 21

Use Principle of Mathematical Induction to prove that:n^2-1 is divisible by 8 whenever n is an odd positive integer.

e

How can this question be solve using simplex method;

A dietician has to develop a special diet using two foods P and Q. Each packet (containing 30kg) of food P containing 12 units of calcium, 4 units of iron, 6 units of cholesterol and 6 units of vitamin A. Each packet of the sane quantity of foods Q contain 3 units of calcium, 20 units of iron, 4 units of cholesterol and 3 units of vitamin A. The diet require at least 240 units of calcium, at least 460 units of iron and at most 300 units of cholesterol. How many packet of each food should be use to minimize the amount of vitamin A in the diet. What is the minimum amount of vitamin A.