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What is integration by parts, and how is it useful?

"Integration by parts" is one of several methods in our arsenal that we can use to integrate a function f ( x ). It involves expressing f ( x ) as the product of two other functions, which I will c...
AJ
Answered by Alexander J. • Maths tutor
3706 Views

What are the roots of 3x^2 + 13x + 4 ?

To find the roots, we solve the equation 3 x 2 + 13x + 4 = 0. We could try factorising the equation, which gives us (3x + 1)(x + 4) = 0 So the roots are x = -1/3 and x = -4. Alternatively, we could use the q...
NB
Answered by Nicholas B. • Maths tutor
11222 Views

Surd Calculations?

Surds are numbers left in 'square root form' (or 'cube root form' etc). They are therefore irrational numbers. Surds are the root of numbers and not whole numbers. Multiplication Example: √2 × √6 = √12 (= 2×...
NB
Answered by Nita B. • Maths tutor
13242 Views

Can you solve the following 2 simultaneous equations; y=6x-2 and x^2-4x+19=y?

y=6x-2 x 2 -4x+19 Both equations are equal to Y, hence can be substituted into each other; 6x-2= x^2-4x+19 Now we only have X terms in our equations Bring all the like X terms together, and make equation equ...
MC
Answered by Mohammed C. • Maths tutor
7293 Views

Sasha has a bag containing 12 red beads, and 8 blue beads. She draws one bead from the bag at random. What is the probability that it is blue?

There are 12 + 8 = 20 beads in the bag in total.If sasha draws a bead at random then she has 8 chances out of 20 possible beads that the bead is blue. So the probability that the bead is blue is 8/20 = 2/5
AW
Answered by Alexander W. • Maths tutor
8532 Views