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Find the area enclosed between C, the curve y=6x-x^2, L, the line y=16-2x and the y axis.

First we need to find the intersection point(s) of L and C so set 6x-x²=16-2x and rearrange to get x²-8x+16=0 so (x-4)²=0.Repeated root so line is tangent to the curve at ...

Answered by David M. • Maths tutor

3417 Views

find the coordinates of the single stationary point of the curve with equation y=8x^2 + 2/x

rewrite the equation in a more helpful way:y=8x² + 2x^-1 differentiate:dy/dx = 16x -2x^-2set equal to 0 and solve for x16x -2x^-2= 016x -2/ x²=016x= 2/...

Answered by Pavan R. • Maths tutor

9111 Views

Evaluate the multi-store model of memory (4 marks).

The case study of HM, as reported by Milner (1966), can be used to evaluate this model. HM had both of his hippocampi and parts of the temporal lobe removed following a lifetime of epileptic seizures. Fol...

Answered by Alexandra P. • Psychology tutor

10426 Views

Cómo es el barrio en que vives?

In order to achieve the highest marks possible, it is important to include a wide range of tenses and interesting vocabulary in order to describe where you live. For example: Yo vivo en las afueras de Lon...

Answered by Meg R. • Spanish tutor

2080 Views

There are 720 boys and 700 girls in a school. The probability that a boy chosen at random studies French is 2/3 The probability that a girl chosen at random studies French is 3/5 . Work out the number of students in the school who study French.

To find out how many students take French, start by finding out how many boys take it, and then how many girls, and the sum of these will be the total number of students taking French.There are 720 boys, ...

Answered by Isabelle S. • Maths tutor

7038 Views