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