Top answers

Differentiate with respect to x: x*cos(x)

Firstly, x cos(x) is a product of two functions of x. Therefore we can use the product rule to work out the derivative of the whole function. Differentiating each part makes it easier to visualize the formul...
SS
Answered by Stefan S. • Maths tutor
3706 Views

What is 2 1/5 + 1 3/4

First simplify both sides:2 1/5 = 11/5 1 3/4 = 7/4Then find common denominator by multiplying denominators:4/5 = 20Times denominators by opposite denominator (do to top and bottom):7/4 = 35/20 13/5 = 44/20Th...
HH
Answered by Harry H. • Maths tutor
4258 Views

The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.

We know the perimiter is split into the proportions 3:4:5 therefore by adding 3+4+5 we can work out what fraction of 72cm each side is.Thus 3/(3+4+5) = 3/12 = 1/4 is the fraction of 72 that belongs to the sh...
SD
Answered by Sefton d. • Maths tutor
12089 Views

Prove cosec2A-cot2A=tanA

Cosec2A - cot2A= tanA Left hand side=1/sin2A - cos2A/sin2A =(1- cos2A)/sin2A =(1-(1- 2 sin^2⁡ A)/ 2sinAcosA =(1-1 + ( 2 sin^2⁡ A))/ 2sinAcosA =sinA/cosA =tanA Therefore left hand side of the equation is equa...
ST
Answered by Sherin T. • Maths tutor
14183 Views

3n+2 <= 14 and 6n/(n^2+5) > 1 Find possible values of N

3n+2 is less then or equaled to 14. 6n divided by N squared + 5 is less then 1. First, we are going to deal with the equation on the left. From this equation, takeaway 2 from both sides to get 3n&lt;=12, div...
MA
Answered by MOHAMMAD A. • Maths tutor
4464 Views