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i) It is given that f(x)=(-5-33x)/((1+x)(1+5x)), express f(x) in the form A/(1+x) + B/(1+5x) where A,B are integers. ii) hence express the integral of f(x) between x=3 and x=0 in the form (p/q)ln4 where p,q are integers.

i) -7/(1+x) + 2/(1+5x) ii) (-31/5)ln4

DT
Answered by Damon T. • Maths tutor
4029 Views

find the integral of ((3x-2)/(6x^2-8x+3)) with respect to x between x=2 and x=1. (hint use substitution u=denominator)

(ln11)/4

DT
Answered by Damon T. • Maths tutor
4094 Views

Expand (x-5)(2x-3)

(x-5)(2x-3)= 2x2 -3x-10x+15

= 2x2 -13x + 15

SS
Answered by Sharone S. • Maths tutor
4866 Views

You are told that the y is proportional to x^2 and that when y=75, x=5. Find a formula for x in terms of y.

If we know that y is proportional to x2 then we using the given values we can write 75= 52 --> 75=25, however this is obviously not true but all that remains is to multiply the 5<...

JP
Answered by Jenieka P. • Maths tutor
3088 Views

1. (a) Express 7cosx - 24sin x in the form R cos (x + a), (b) hence what is the minimum value of this equation

(a) Rcos (x+a) = Rcosxcosa - Rsinxsina

7cosx - 24sinx = Rcosxcosa - Rsinxsina

Rcosa = 7,    Rsina = 24

Tan a = 24/7

       a = 1.287 (3 S.F.)

R2 

PB
Answered by Prashan B. • Maths tutor
13656 Views

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