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Integrate the following function: f(x) = ln(x)

∫ln(x)dx = xln(x) - ∫x/x dx = xln(x) - x + C
CE
Answered by Callum E. • Maths tutor
3955 Views

Solve the simultaneous equations 3x+5y=7, 2x-3y=11

Multiply the first equation by 2, and the second by 3: 6x+10y=14 6x-9y=33 Subtract the second from the first: 19y=-19 solve for y: y=-1 plug in to first equation and solve for x: 6x+10*(-1)=14 6x=24 x=4
JB
Answered by Jamie B. • Maths tutor
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Why is the differential of a constant zero?

Any constant (say k) can be rewritten as kx 0 since x 0 =1. When you differentiate this, the 0 which is the power of the x term gets dragged to the front and is multiplied with the rest of the expression (ac...
JC
Answered by Jawad C. • Maths tutor
4487 Views

How do you check if a graph ever touches the x-axis?

At the x-axis, y is always zero at any point. If you want to fnd out whether or not a graph reaches the x-axis, then substitute y=0 into the equation and find the value of x. If it solves, then we know it do...
JC
Answered by Jawad C. • Maths tutor
20017 Views

How do you find the maximum/minimum value of an equation?

When finding the maximum or minimum of an equation, make sure you rearrange an equation to make y the subject of the equation i.e. y=_________. You can then differentiate with respect to x and then set the d...
JC
Answered by Jawad C. • Maths tutor
7749 Views