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Maths
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How do you do integration by parts?

When you see a complicated product, split it into the form u.v', where u and v' are algebraic expressions such as x^2. You can then use the formula: uv'=uv-integral(vu') which you would take between an...

AB
Answered by Andrew B. • Maths tutor
3054 Views

How do you calculate the area of a circle?

The equation is 2πr.  That is 2 x pi x the radius (not the diameter!)

NO
Answered by Nick O. • Maths tutor
3105 Views

The area of a square is 49cm^2. The perimeter of the square is equal to the circumference of a circle. Work out the radius of the circle. Give your answer to 1 decimal place.

Area of a square (As) = Side length (L)2

L = square root As

L = square root 49

L = 7 cm

Perimeter (P) = 4L

WD
Answered by William D. • Maths tutor
15159 Views

Find the equation of the normal line at the point H, where θ= π/6, on the curve with equations x=3sinθ and y=5cosθ

Step 1:

We begin solving this problem by finding the gradient of the tangent line at H, which is equal to dy/dx.

In this case, our curve has equations  x = 3sinθ and ...

PK
Answered by Pantelis K. • Maths tutor
8420 Views

Express (3x^2 - 3x - 2)/(x-1)(x-2) in partial fractions

Step 1:

When asked to exrpess something in partial fractions, we first compare the power of the numerator to the power of the denominator.

In our case we have that th...

PK
Answered by Pantelis K. • Maths tutor
18752 Views

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