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A curve has equation y = f(x) and passes through the point (4, 22). Given that f ′(x) = 3x^2 – 3x^(1/2) – 7, use integration to find f(x), giving each term in its simplest form.

Firstly we can use the difference rule to split f'(x) into three components which we can consider separately. Then using the knowledge that the integral of x^n is 1/(n+1)*x^(n+1) we get the expression for f(...
AS
Answered by Abbey S. • Maths tutor
4607 Views

y = 4x/(x^2+5). a) Find dy/dx, writing your answer as a single fraction in its simplest form. b) Hence find the set of values of x for which dy/dx < 0

a) We need to differentiate this equation using the quotient rule (Given that it is a fraction with an x term on both the top and bottom of the fraction). We assign the numerator and denominator as follows: ...
JF
Answered by James F. • Maths tutor
8564 Views

To what extent is online retailing essential to a firm’s success?

On the one hand, online retailing is essential to a firm’s success, as seen by Amazon’s rise to being one of the world’s largest businesses. Online retailing often reduces a business’ costs, as there is less...
JW
2335 Views

Con el uso de ejemplos, da tu opinión sobre las películas de hoy

Intro: Hoy en día, el cine es una parte esencial de la vida cultural de un país -nuevas maneras de pensar y de considerar aspectos de la sociedad moderna Las películas de Hollywood:-el genero más popular de ...
FV
Answered by Francesca V. • Spanish tutor
3754 Views

What tenses can the 'If' clause followed by Present Indicative trigger?

There are essentially 3 different types of 'If' clauses that you will ever need in Spanish.The first one is when the 'Si' clause (Spanish 'If' clause) is used to describe a situation that may well be fulfill...
YB
Answered by Yasmin B. • Spanish tutor
2290 Views