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Integrate ln(x).

For this you’ll want to use the integration by parts method. In this the form u use is:integral of udv = uv - integral of vduTherefore we can rewrite the integral as ln(x)*1 labelling 1 as dv and ln(x) as u....
ES
Answered by Euan S. • Maths tutor
1871 Views

The distance of a particle from its start point with respect to time is given by the equation s = 5t^2 + 2t + 4, what is the acceleration of the particle at time t?

To find the velocity from the displacement you must differentiate the function with respect to time.V = (5 2)t^(2-1) + (2 1)t^(1-1) + (4 0)V = 10t +2To find the acceleration you must differentiate the veloci...
LF
Answered by Louis F. • Maths tutor
1615 Views

Solve (x-1)^2-2(x-1)-3=0

Solving this equation would mean finding the values of x that satisfy it equating to zero. Therefore, to start, you must simplify the equation by expanding all the values to get (x^2-2x+1)-(2x-2)-3=0 [expand...
EL
Answered by Emily L. • Maths tutor
4531 Views

Eleven pet owners were asked how many pets they had in total. The results are given below. 1, 1, 2, 3, 4, 5, 5, 6, 6, 6, 7 - Two more owners are asked how many pets they have. Including their results the mean goes down to 4 but the mode is unchanged from

1, 1, 2, 3, 4, 5, 5, 6, 6, 6, 7 - n=11mean = 46/11mode= most common so 6after n=13, mean is 413*4=52so 52-46=64 and 2 works1 and 5 not as mode changes3 and 3 not as mode changes
RJ
Answered by Rishi J. • Maths tutor
2147 Views

An amount of money is split between three people: A, B, and C. C gets 50%, B get 3/9, a) what share does A get. A has £10 b) how much does B have? C spends 90% of his money c) how much total money is left between A, B and C?

a) 1/6b) £20c) £20+£10+(0.1*£30)= £33
TH
Answered by Tom H. • Maths tutor
2143 Views