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Solve n^2+n-90=0 to find the value of n?

Using the quadratic formula with a calculator a=1 b=1 c=-90 answers are n=-10 and n=9Factorising (n-9)(n+10)=0 answers are n=-10 and n=9
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Answered by Asher L. • Maths tutor
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Consider the curve y=x/(x+4)^0.5. (i) Show that the derivative of the curve is given by dy/dx= (x+8)/2(x+4)^3/2 and (ii) hence find the coordinates of the intersection between the left vertical asymptote and the line tangent to the curve at the origin.

The unsimplified form of the derivative can be obtained fairly easily with use of the quotient rule. The trick for simplification is to multiply top and bottom by (x+4)^0.5, this allows manipulation of the n...
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Answered by Seb R. • Maths tutor
3843 Views

Integrate 3x^4-4x^2+3/x

Firstly, integrate each term individually, starting off with the 3x^4. In order to integrate the index on the x term needs to be raised by 1, and the coefficient of the x should be divided by this new value....
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Answered by Muhammad R. • Maths tutor
4591 Views

Vous écrivez un article sur la qualité des collèges en Grande-Bretagne pour un magazine français. Décrivez : • pourquoi votre collège est un bon collège • un événement scolaire mémorable. Ecrivez environ 150 mots en français.

Mon collège est petit mais très beau. J’aime la plupart des profs parce qu’ils sont gentils et parfois drôles. De plus, les cours sont très intéressants. Ma matière préférée est la technologie parce qu’on fa...
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Answered by Anna S. • French tutor
6094 Views

How does Shakespeare use propoganda to maintain English nationalism

Shakespears Macbeth was written during the time of King James, who was the son of Mary Queen of the Scots. It was because of this Scottish heritage that there was anxiety within the public consensus of conte...
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