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Maths
A Level

What is integration?

Integration is the reverse of calculating the derivative in maths. We can use integration to determine the area under a graph between to x values. I will demonstrate a basic integration question to show y...

DH
Answered by Dorothy H. Maths tutor
3920 Views

Differentiate x^(4) + x^(1/2) + 3x^(5)

When considering a term in the form of xn, we use the rule nxn-1 when differentiating.

So, we multiply the power of x by the coefficient (number in front) of x and then minus ...

EP
Answered by Emily P. Maths tutor
3557 Views

Solve the simultaneous equations: x^2 + 8x + y^2; x - y = 10.

Label the two equations.

x2 + 8x + y2 = 84 (1)
x - y = 10 (2)

Rearrange (2) to get y = x - 10 and substitute for y in (1) to get x2 + 8x + (x - 10)

LT
Answered by Lewis T. Maths tutor
5279 Views

What is the binomial theorem and why is it true?

The binomial theorem is an algebraic formula for the expansion of powers of an expression with two terms (a binomial). For example, we can use it to calculate the polynomial expansion of, say, (1+x)^n for...

JC
Answered by Jacob C. Maths tutor
3530 Views

A curve C has the equation x^3 +x^2 -10x +8. Find the points at which C crosses the x axis.

Factorise: (x-2)(x+4)(x-1)

Set equal to 0: (x-2)(x+4)(x-1) = 0

Points are (2,0) (-4,0) (1,0)

WF
Answered by William F. Maths tutor
3461 Views

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