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Differentiate xcos(x) with respect to x.

How do we know which method of differentiation to use in this example?
Well in ‘xos(x)’, we have 2 different functions: ‘x’ and ‘cos(x)’. Therefore, we must differentiate using the p...

Answered by Oliver S. • Maths tutor

4612 Views

The length of a rectangle is five times the width. The area of the rectangle is 1620 cm(squared) Work out the width of the rectangle.

If the length is 5 times the width we can say that length=5a if width=a. We know the equation for: the area of a rectangle= length x width.In this case: area= 5a x a= 5a² and from the question ...

Answered by Sophie J. • Maths tutor

9714 Views

Solve the simultaneous equation: 3x-12y=6 , 18y=9x+10y

To solve this question, we must first understand what a simultaneous equation is = an equation where the variables have the same values. So in this example, x and y are the same in both ...

Answered by Paulina P. • Maths tutor

3193 Views

At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the game.

The ratio of men to women at the game is 13:5. The difference between the number of men and women is 4152. Subtract 5 from 13 to work out the difference between the ratio value of men and women. 13-5=8. D...

Answered by James B. • Maths tutor

8168 Views

A particle P is projected vertically upwards from a point 20m above the ground with velocity 18m/s, no external forces act on it other than gravity. What will its speed be right before it hits the ground? Give your answer to one decimal place.

To start off we should list what we have and what we want to find. The initial velocity u= 18 m/s (taking upwards to be the positive direction). Acceleration a= - 9.8 m/s² (negative since gravi...

Answered by Jenny N. • Maths tutor

4346 Views