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Make y the subject of the equation: t=(y+2)/(4-y)

Multiply by 4-y => t(4-y)=y+2 Expand the brackets => 4t-ty=y+2 Get all the y's on the same side => 4t-2=ty+y Factor out the y => 4t-2=(t+1)y Divide by t+1 => (4t-2)/(t+1)=y
CM
Answered by Christopher M. • Maths tutor
3920 Views

Find the stationary pointsof the following: (y = x^3 - x^2 -16 x -17) and determine if each point is a maximum or minimum.

Notes; *Stationary (Turning) points are the points on the graph which are lowest or highest. (maximum or minima). *The gradient at a stationary point is zero. Steps: 1. Differentiate the function once to fin...
CM
Answered by Charlie M. • Maths tutor
4218 Views

find the value of dy/dx at the point (1,1) of the equation e^(2x)ln(y)=x+y-2

find dy/dx, algebraically manipulate the expression to get dy/dx in terms of x and y and then subsitute in the given point.
JG
Answered by James G. • Maths tutor
8537 Views

Given that x=ln(t) and y=4t^3,a) find an expression for dy/dx, b)and the value of t when d2y/dx2 =0.48. Give your answer to 2 decimal place.

a) Firstly, differentiate x and y with respect to t. Giving you dx/dt = 1/t and dy/dt = 12t 2 dy/dx is found using the chain rule: dy/dx = dy/dt x dt/dx = 12t 3 b) You will need to differentiate dy/dx again ...
SW
Answered by Sara W. • Maths tutor
3836 Views

solve the inequality 5x + 3> 3x - 6

5x +3 > 3x -6 2x +3 > -6 (-3x from both sides) 2x > -9 (-3 from both sides) x > -4.5 (divide by two on both sides)
AL
Answered by Anna L. • Maths tutor
5242 Views