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Maths
A Level

Find the set of values of x for which 3x^2+8x-3<0.

This is a question involving inequalities. An inequality is a statement about real numbers involving one of the symbols >, ≥, ≤, <. In our question we have to find when function f(x)=3x^2+8x-3 is le...

HG
Answered by Huong Giang T. Maths tutor
19579 Views

A particle of mass 0.25 kg is moving with velocity (3i + 7j) m s–1, when it receives the impulse (5i – 3j) N s. Find the speed of the particle immediately after the impulse.

In order to answer this question, we must first understand the concept of impulse. When a force acts on an object, its momentum is being changed, and this change is defined as the impulse. Put simply, Imp...

AM
Answered by Aashish M. Maths tutor
7683 Views

The quadratic equation 2x^2 + 6x + 7 = 0 has roots A and B. Write down the value of A + B and the value of AB

Upon being told to find the roots of a quadratic we should investigate the various different ways of finding these roots. With experience you will learn to be able to find roots without many calculations ...

KD
Answered by Killian D. Maths tutor
8925 Views

Find dy/dx of y = a^x

To differentiate a function of the form y=a^x you need to use a neat little trick to rewrite a^x in the form of something you already know how to differentiate. Using the fact that e^ln(x) is equal to x, ...

TD
Answered by Tutor33284 D. Maths tutor
23102 Views

Show how '2sin(x)+sec(x+ π/6)=0' can be expressed as √3sin(x)cos(x)+cos^2(x)=0.

To do this question we must first be aware of a few trigonometric identities. 1. sec(x) = 1/cos(x). 2. cos(A + B) = cos(A)cos(B) - sin(A)sin(B). (double angle formula) 3 . sin^2(x) = 1 - cos^2(x) Before d...

RP
Answered by Ruadhan P. Maths tutor
9593 Views

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