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Given that y=π/6 at x=0 solve the differential equation,dy/dx=(e^x)cosec2ycosecy

This question challenges a students skills with integration and trigonometry a very common question on Core 4 papers that can leave students struggling. First we use our knowledge that cosecy=1/siny and mult...
OL
Answered by Oliver L. • Maths tutor
13671 Views

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-x 2 =16-2x and rearrange to get x 2 -8x+16=0 so (x-4) 2 =0.Repeated root so line is tangent to the curve at x=4, y=16-2(4)=8 that is the p...
DM
Answered by David M. • Maths tutor
4127 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=8x 2 + 2x -1 differentiate:dy/dx = 16x -2x -2 set equal to 0 and solve for x16x -2x -2 = 016x -2/ x 2 =016x= 2/ x 2 16x 3 =28x 3 =1x 3 =1/8x=1/2note: x cannot be ...
PR
Answered by Pavan R. • Maths tutor
10317 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. Follow...
AP
13595 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 Londre...
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Answered by Meg R. • Spanish tutor
3013 Views