Marco G. GCSE Maths tutor, A Level Maths tutor, Mentoring Maths tutor...

Marco G.

Currently unavailable: for regular students

Degree: MSc Mathematics and Foundations of Computer Science (Masters) - Oxford, Oriel College University

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About me

Have memorised all the digits of Pi, but still working on their order.

Currently enrolled on an MSc in Mathematics and Foundations of Computer Science at Oxford University.

The focus of my lessons will be on providing you with the tools to independently work through problems.

Subjects offered

SubjectLevelMy prices
Further Mathematics A Level £20 /hr
Maths A Level £20 /hr
Maths GCSE £18 /hr
Maths IB £20 /hr
Maths 13 Plus £18 /hr
Maths 11 Plus £18 /hr

Qualifications

QualificationLevelGrade
MathematisBachelors Degree1st
Disclosure and Barring Service

CRB/DBS Standard

No

CRB/DBS Enhanced

No

Currently unavailable: for regular students

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Questions Marco has answered

What's the integral of x^2 +3/x, with respect to x?

A: x3/3 + 3ln(x) + A. Step-by-step solution: Integral (x2+3/x dx) = [as integrals preserve sums] integral (x2 dx) + integral (3/x dx) = [raise exponent by one, multiply by the reciprocal, add a constant] x3/3 + C + integral (3/x dx) = [3 is a constant, so we we can take it out of the integ...

A: x3/3 + 3ln(x) + A.

Step-by-step solution:

Integral (x2+3/x dx) =

[as integrals preserve sums]

integral (x2 dx) + integral (3/x dx) =

[raise exponent by one, multiply by the reciprocal, add a constant]

x3/3 + C + integral (3/x dx) =

[3 is a constant, so we we can take it out of the integral. The anti-derivative of 1/x dx is ln(x)+D, which is a standard result you need to know]

x3/3 + C + 3(ln(x) + D)=

[merge the constants into one constant]

x3/3 + 3ln(x) + A.

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11 months ago

258 views

What's the inverse of the function f=x+2?

If we apply a function and then its inverse, we should get back to where we started.  Suppose we start with an element x. If we apply f to it, we get to x+2. In order to get back to where we started (i.e. x), we need to subtract 2. Hence, the inverse of the function f is f-1=x-2.

If we apply a function and then its inverse, we should get back to where we started. 

Suppose we start with an element x. If we apply f to it, we get to x+2. In order to get back to where we started (i.e. x), we need to subtract 2.

Hence, the inverse of the function f is

f-1=x-2.

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11 months ago

298 views
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