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Solve the equation 8x^6 + 7x^3 -1 = 0

The first thing to recognise is this is a quadratic in disguise, therefore we can rewrite the equation in terms of a new variable y. Where y=x 3 The equation then becomes 8y 2 +7y-1=0 . We then factorise thi...
KP
Answered by Kelan P. • Maths tutor
8536 Views

Integrate sinxcosx dx

Since the question is a trigonometry question, we shall use integration by recognisation, in which case, we found out that the derivative of sin x is cos x.Therefore by chain rule, we can integrate the funct...
HL
Answered by Harris L. • Maths tutor
5436 Views

How can 'for' be translated correctly in French?

When translating for in French, we have to take into consideration the three prepositions which can be used: d epuis, pendant and pour . The one which is selected depends on the situation and the action bein...
LC
Answered by Lauren C. • French tutor
2780 Views

How do I find the square root of a complex number?

Say you want to find the square root of the complex number 3+2i. We can assume that the answer we want will be in the form a+bi. It follows then, that you can also write 3+2i as (a+bi) 2 . Expanding this giv...
DC
10493 Views

To what extent is Shakespeare's The Tempest a play about authority and power?

From the Master's opening commands to the Boatswain to "speak to the mariners" to Prospero's final mitigated imperative in the Epilogue asking the audience to "set [him] free" through app...
RR
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