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A portable space saving football goal has been launched to promote sport and activities for 3 to 5 year old children. Describe the properties of ABS that make it a suitable material for the football goal.

It is strong and lightweight, and so can be taken apart and stored in a car boot etc. for transport. ABS has a glossy finish which means it requires not protection for indoor or outdoor use. It is a hard ...

DD
2181 Views

How to I prepare for a Cambridge interview?

If you got an interview you are already halfway there - congratulations! The interviewers liked your application and think you have potential, so your job during the interview is just to try to convey tha...

LG
1744 Views

Show that the lines y=3x+7 and 2y–6x=8 are parallel. Do not use a graphical method.

y=3x+7 2y-6x=8
2y-6x=82y=8+6xy= 4+3xy=3x+4When both equations equal y they both have a 3 in front of their x meaning that they both have a gradient of 3.

JM
Answered by Jordan M. Maths tutor
3251 Views

Curves C1 and C2 have equations y= ln(4x-7)+18 and y= a(x^2 +b)^1/2 respectively, where a and b are positive constants. The point P lies on both curves and has x-coordinate 2. It is given that the gradient of C1 at P is equal to the gradient of C2 at P.

y= ln(4x-7)+18 y= a(x^2 +b)^1/2
At x=2 dy/dx = dy/dx and y =y
At x =2 y = ln(8-7) +18 y = ln 1 +18 y =18
At x = 2 18=a(4 +b)^1/2 18/(4+b)^1/2= a
y=ln(4x-7)+18dy/dx= 4/(4x...

JM
Answered by Jordan M. Maths tutor
9383 Views

Calculate the value of the definite integral (x^3 + 3x + 2) with limits x=2 and x=1

a) Integrate the given expression using integration laws we have learnt to give [(x^4)/4 + (3(x^2))/2 + 2x ] and you do not need a +c constant as we have limits.b) Substitute the limits into the equation ...

Answered by Maths tutor
3420 Views

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