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If a curve has equation y = (-8/3)x^3 - 2x^2 + 4x + 18, find the two x coordinates of the stationary points of this curve.

The first step in solving this question is to differentiate equation y with respect to x. To differentiate a given 'x' term in an equation use the following method --> xⁿ becomes nx^(n-1...

Answered by Robyn T. • Maths tutor

3322 Views

Why does the breathing rate not return to normal after vigorous exercise?

During vigorous exercise, muscles are not supplied with enough oxygen. This means that cells have to respire anaerobically. Anaerobic respiration involves no oxygen. This leads to a build-up of lactic aci...

Answered by Sadia Halimah A. • Biology tutor

24573 Views

A curve has equation y=x^2 + 2x +5. Find the coordinates of the point at which the gradient is equal to 1.

dy/dx= 2x+2 , gradient is equal to 1 so dy/dx also equals 1.1=2x+2-1=2xx=-1/2plug this value of x into the equation to get y=17/4

Answered by Nikhil L. • Maths tutor

3834 Views

Find the derivative, dy/dx, of y = 8xcos(3x).

Let u= 8x then du/dx = 8Let v= cos(3x) then dv/dx = -3sin(3x)Therefore using the product rule: dy/dx = (cos(3x))(8) + (8x)(-3sin(3x))So dy/dx = 8cos(3x) - 24xsin(3x) .

Answered by Joshua C. • Maths tutor

3534 Views

what is a standing wave and how is it formed ?

A standing wave is the interference of two sinusoidal waves travelling in opposite directions, confining the wave and its energy to a fixed position, creating nodes and anti nodes .
nodes - points w...

Answered by Danielle N. • Physics tutor

1885 Views