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Find the area enclosed by the curve y = 3x - x^2 and the x-axis

Start with finding limits by setting 3x - x^2 = 0, then factorise x(3 - x) = 0. Therefore x = 0 or 3. The area is the integral of 3x - x^2 between x = 0 and 3, sub in 3 and 0 into 3(x^2)/2 - (x^3)/3, whic...

SB
Answered by Sam B. Maths tutor
17743 Views

Integrate 2x/[(x+1)(2x-4)

2x/[(x+1)(2x-4)] = [A/(x+1) + B/(2x-4)]x = A(x-2) + B(x+1)x = -1-1 = A(-3)A = 1/3x = 2 2 = B(3)B = 2/3 therefore.... 2x/[(x+1)(2x-4)] ...

LA
Answered by Lukas A. Maths tutor
4373 Views

How do you find the area of a sector of a circle if you know the radius and the angle in the centre?

You find the area of the circle (using radius2* π). You divide your angle by 360 (or by 2π). You multiply the 2 answers and you find the area of the sector.

JP
Answered by Jessica P. Maths tutor
3604 Views

How to solve a quadratic equation without a calculator?

You factorise it. First, you find a common factor between a, b and c. Then, you find the 2 numbers that multiplied give you c and added give you b. If a=1, then the additive inverse of those 2 numbers ar...

JP
Answered by Jessica P. Maths tutor
8908 Views

How do I draw the graph of a function that is unfamiliar to me?

 It is always important to be familiar with a variety of standard functions and their graphical representation, such as sine and cosine curves, as well as exponential, quadratic and other such functions. ...

MB
Answered by Marie B. Maths tutor
2700 Views

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