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Let f be a function of a real variable into the real domain : f(x) = x^2 - 2*x + 1. Find the roots and the extremum of the function f.

Let f be a function of a real variable into the real domain : f(x) = x^2 - 2 x + 1. Find the roots and the extremum of the function f.i) Root finding The function f is a 2nd degree polynomial. The root findi...
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Answered by Matteo M. • Maths tutor
3678 Views

Express '2x^2 + 8x + 30' in the form 'a(x+b)^2 + c'

b = B/2A = 8/(2x2) =8/4 = 2 c = C-((B^2)/4A) = 30-((8^2)/(4x2)) = 30-64/8 = 30-8 = 22 => 2x^2 + 8x + 30 = 2(x+2)^2 + 22
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Answered by Charles C. • Maths tutor
4689 Views

y = 2ln(2x + 5) – 3x/2 , x > –2.5 find an equation to the normal of the curve when x = -2

2x + 5y = 11
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Answered by Shabeer A. • Maths tutor
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Solve the following simultaneous equations: A. 2x-2y=18 and B. 3x+y=23

Step 1: Rearrange one equation to make y the subject. In equation B, we can move the 3x to the other side, making it negative and making the equation y=23-3xStep 2: Substitute our new value for y into equati...
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Answered by Sahil M. • Maths tutor
4489 Views

The probability that it rains on a given day is 0.15. The probability that a football match is cancelled when it rains is 0.65. If it doesn't rain, the probability that the match is not cancelled is 0.95. What is the chance that the match is cancelled?

The aim here is to find the probability that the football match is cancelled in both the case that it rains and in the case that it doesn't. This helps to break the question down; we can find the probability...
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Answered by Matthew T. • Maths tutor
7087 Views