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Solve the simultaneous equations 2x - 3y = 24 (1) ; 6x + 2y = -5 (2)

The objective of this question is to solve for x and y. Since we cannot directly eliminate x or y, find the lowest common multiple for x in both equations by comparing 2x in equation 1 with 6x in equation...

AS
Answered by Araba S. Maths tutor
8720 Views

Find f''(x), Given that f(x)=5x^3 - 6x^(4/3) + 2x - 3

In order to get from f(x) to f''(x) we need to differentiate the function f(x) with respect to x and then differentiate the resulting function with respect to x again. When differentiating f(x), split the...

AB
Answered by Alexey B. Maths tutor
8029 Views

Judy bought a car for £12,000. She bought the car 4 years ago. Each year the car depreciated by 10%. How much was is the car worth now?

First of all remember to never be intimidated by a question. Don't read a question and say "I don't know," start with what you do know. In this case we know that every year the £12,00 initial va...

NK
Answered by Nicolas K. Maths tutor
4912 Views

A particle A rests on a smooth inclined plane, it is connected to a particle B by a light inextensible string that is passed over a fixed smooth pulley at the top of the plane. B hangs freely. Find the acceleration of the system and tension in the string.

Full Question: A particle A of mass 2.5kg is at rest on a smooth inclined plane at an angle of 25 degrees, it is connected to a particle B of mass 1.5kg by a light inextensible string which lies along a l...

KW
Answered by Kyle W. Maths tutor
10955 Views

Edexcel C3 June 2015 Q1: tan(x)=p, where p is a constant. Using standard trigonometric identities, find the following in terms of p. a) tan(2x). b) cos(x). c) cot(x-45).

a) tan(A+B)=(tanA+tanB)/(1-tanAtanB) So, tan(2x)=[tan(x)+tan(x)]/[1-(tanx)(tanx)]. Therefore, tan(2x)=[2tan(x)]/[1-tan^2(x)] = 2p/(1-p^2). b) cos(x)=1/sec(x). Using other trigonometric identities, we know...

LR
Answered by Liam R. Maths tutor
16091 Views

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