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find dy/dx of x^1/2 + 4/(x^1/2) + 4

This can be rewritten as x^1/2 + 4x^-1/2+ 4, hence dy/dx = (1/2)x^-1/2 - 2x^-3/2

Answered by Olufayojimi O. • Maths tutor

3368 Views

A farmer has 30 boxes of eggs. There are 6 eggs in each box. Write, as a ratio, the number of eggs in two boxes to the total number of eggs. Give your answer in its simplest form.

The question asked for the ratio between the number of eggs in 2 boxes and the total number of eggs. From the question we know that the total number of eggs is the same as the number of eggs in 30 boxes. ...

Answered by Olufayojimi O. • Maths tutor

12884 Views

(a) By using a suitable trigonometrical identity, solve the equation tan(2x-π/6)^2 =11-sec(2x-π/6)giving all values of x in radians to two decimal places in the interval 0<=x <=π .

say (2x-π/6)=qtan²q = sec²q-1so sec²q-1= 11 - sec q sec²q + sec q -12 = 0(sec q -3) (sec q + 4) = 0sec q = 3 or -4because 0<=x<= πso -π/6 <= q <= 11...

Answered by Zhaohui Z. • Maths tutor

8778 Views

There are 895 litres of petrol in Mr Turners petrol tank, he uses 19.7 litres of petrol a day. Estimate the number of days it will take him to use all the petrol in the tank.

895 is approximately 90019.7 is approximately 20 900/20 = 45 it will take approximately 45 days to use all the oil in the tank

Answered by Henry T. • Maths tutor

2896 Views

Solve the following equation: 7x + 6 = -5x - 42

First, we gather like terms: 7x + 5x = -42 - 6 This gives: 12x = -48Now we can divide both sides by 12 to solve for x: 12x/12 = -48/12This gives: x = -4

Answered by Kyle Y. • Maths tutor

4041 Views