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Complete this substitution question: x^​3 - 25 = 103 - x^​3

Firstly, let's move the x^​3's onto the same side (and preferably keep them positive). Let's add x^​3 to both sides, which means the RHS will now read '2x^​3 - 25' and the LHS will read '103'. Next we want t...
AJ
Answered by Aoife J. • Maths tutor
3388 Views

What factors affect ionisation energy and how does each of them affect it?

atomic radius: the larger the atomic radius, the smaller the attraction of the outer shell electrons to the nucleus so the ionisation energy is lower reduced as atomic radius increases. 2. nuclear charge: th...
HO
Answered by Harriet O. • Chemistry tutor
23100 Views

Find, w.r.t to x, both the derivative and integral of y=6*sqrt(x)

Understand the question: 'w.r.t' stand for 'with respect to', so the qestions is asking for the dericative and integral to be calcuated in terms of x - so find dy/dx and (integral sign) y dx. Sqrt(x) is the ...
JR
Answered by Jake R. • Maths tutor
5276 Views

Solve the differential equation: (dy/dx) = 6xy^2

Start by recognising that this is a separable differential equation; it can be written with all of the x's on one side of the equals sign, and all of the y's on the other. The first step is to rearrange so t...
MJ
Answered by Michael J. • Maths tutor
10712 Views

intergrate xcos(2x) with respect to x

The function of x has two separate x terms multiplied by each other. Therefore, the appropriate way to integrate this function is by parts. The equation for integration by parts is [integral (u.dv/dx)] = uv ...
MI
Answered by Mark I. • Maths tutor
6765 Views