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What is the value of the figure 1 in the number 2105?

Answer. The 1 in 2105 has a value of 100 (One hundred).2105 reads out to be 'Two thousand, one hundred and five'

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Find the turning point of y = x + 1 + 4/x2 and describe the nature of the turning point

To find the turning point of the equation, it should be recognised that we desire the point at which the gradient is 0. The gradient is given by dy/dx and hence we differentiate the equation with respect ...

Answered by Animit K. • Maths tutor

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A linear sequence starts, a + 2b, a + 6b, a + 10b …….. …….. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b

As it states that it is a "linear" sequence. You can identify the pattern and recognise that the 4th and 5th terms will be, a+14b and a+18b respectively.As the 2nd term has the value 8. This mea...

Answered by Haris A. • Maths tutor

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Given y=2x(x^2-1)^5, show that dy/dx = g(x)(x^2-1)^4 where g(x) is a function to be determined.

y=2x(x²-1)⁵ --> y=uv, where u=2x; v=(x²-1)⁵--> thus product rule required.u'=2v'=10x(x²-1)⁴Product rule: dy/dx = uv' + v'uTherefore...

Answered by Sean H. • Maths tutor

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Find the finite area enclosed between the curves y=x^2-5x+6 and y=4-x^2

Starting by factorising the curve equations: the first one factorises to y = (x-3)(x-2) and the second one becomes y=(2-x)(2+x). From this, a rough sketch of the curves can be drawn and it can be seen tha...

Answered by Ruby N. • Maths tutor

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