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y= ln(4x-7)+18 y= a(x^2 +b)^1/2
At x=2 dy/dx = dy/dx and y =y
At x =2 y = ln(8-7) +18 y = ln 1 +18 y =18
At x = 2 18=a(4 +b)^1/2 18/(4+b)^1/2= a
y=ln(4x-7)+18dy/dx= 4/(4x...

a) Integrate the given expression using integration laws we have learnt to give [(x^4)/4 + (3(x^2))/2 + 2x ] and you do not need a +c constant as we have limits.b) Substitute the limits into the equation ...

Firstly rearrange the quadratic such that the coefficient of x² is positive (already done in this example) and the quadratic is in the form of ax² +bx + c, then solve for ...

Firstly the equation of this decomposition should be worked out to be the following
KClO₄(s) --> KCl(s) + 2O₂(g)
The enthalpy of formation has been given for both KClO<...

For N to be not divisible by 3, N can either be of the form 3k + 1 (1,4...) or 3k + 2 (2,5...), where k is an integer.
The proof can then be done by checking both 3k + 1 and 3k + 2 when N is squared...