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Integrate x^2 + 2x + 5x^-1

Answer: (x^3)/3 + x^2 +5 ln (x) .
JA
Answered by John A. • Maths tutor
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Solve x^2 = 4(x - 3)^2

Multiply out brackets x 2 = 4(x 2 - 6x + 9)x 2 = 4x 2 - 24x + 36 Minus x 2 from both sides 3x 2 -24x + 36 = 0 Divide equation by 3x 2 - 8x + 12 = 0 What 2 numbers add to make -8 and multiply to make 12? -6 a...
RH
Answered by Rosie H. • Maths tutor
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Define x and y if 2x+y=16 and 4x+6y=24

These are a pair of simultaneous equations.First, we can equate two of the coefficients in each equation (let's choose x) by multiplying each equation respectively.With our first equation, multiply it by 2: ...
BH
Answered by Bexi H. • Maths tutor
3945 Views

There are n sweets in a bag. 6 are orange. A random sweet gets eaten, and then a second one. The probability that both sweets are orange is 1/3. Find n.

The probability that the first sweet is orange is 6/n, as 6 of the n number of sweets are orange. After an orange sweet is eaten, there are 5 orange sweets left and n-1 total sweets in the bag. This means th...
JG
Answered by Josh G. • Maths tutor
3939 Views

Find the centre and radius of the circle with the equation x^2 + y^2 - 8x - 6y - 20 = 0.

The general equation of a circle takes the form (x - A)^2 + (y - B)^2 = r^2 where (A,B) is the centre of the circle with radius r. Thus, we aim to rearrange the equation in the question to match this form. S...
TD
Answered by Thomas D. • Maths tutor
8827 Views