Top answers

All subjects
All levels

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
3145 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
9115 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
3308 Views

What is osmosis?

Osmosis is the passive diffusion of water, which therefore, doesn't require any energy to occur. Typically water will move from an area of high concentration to an area of low concentration across a semi-...

MW
Answered by Matthew W. Biology tutor
2870 Views

Name the key differences between Eukaryotic and Prokaryotic cells?

Eukaryotic cells are typically belonging to multicellular organisms, with exceptions of algae and amoebae. These cells always have multiple linear chromosomes (genetic material) and contain a nucleus (hou...

MW
Answered by Matthew W. Biology tutor
1636 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences