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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

NL
Answered by Nikhil L. Maths tutor
3715 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) .

JC
Answered by Joshua C. Maths tutor
3439 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...

DN
Answered by Danielle N. Physics tutor
1798 Views

How should I structure my personal statement?

It is important to remember that your personal statement should be 'personal'. Therefore, whilst you will need to tick boxes that the admissions tutors are looking for, it should also say somethi...

JP
1502 Views

Evaluate the role of technology in prolonging the First World War (IB History Exam Question)

The Examiner is looking for a nuanced but strong answer.
Technology's rapid development during WW1 gave rise to the belief that it would cut the war short. However, each technological innovation was ...

TB
Answered by Tim B. History tutor
4032 Views

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