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Solve the simultaneous equations x^2 +8y=20 and y=x+4

To begin you must substitute the value of y provided into the first equation. The would change the equation into the following form:x^2+8(x+4)=20. Now expand the bracket so that the equation becomes:x^2+8...

AM
Answered by Anthony M. Maths tutor
2738 Views

Differentiate y=x^x with respect to x.

y=x^x, taking natural log of both sides
ln(y)=ln(x^x), using laws of logs
ln(y)=xln(x), using product rule and implicit differentiation
dy/dx 1/y=ln(x)+1
dy/dx=(ln(x)+1)y
dy/dx=(l...

Answered by Maths tutor
3846 Views

Explain the concept of internal economies of scale and the three stages of returns that can occur when firms increase their factors of production? Graphs maybe used in your answer

Internal economies of scale are centred around the relationship of a firm increasing its factors of production ie. its inputs and how this affects the average cost of producing goods. The general concept ...

CK
Answered by Colm K. Economics tutor
2513 Views

Solve the following simultaneous equations. x^2 + 2y = 9, y = x + 3

x^2 + 2y = 9y = x + 3
x^2 + 2y = 9x^2 + 2(x+3) = 9x^2 + 2x + 6 = 9x^2 + 2x - 3 = 0(x + 3)(x - 1) = 0x= -3, x = 1
when x = -3y = x + 3y = (-3) + 3y = 0
when x = 1y = x + 3y = (1) + 3y = 4

JF
Answered by John F. Maths tutor
2568 Views

Describe the process of gene transcription?

Transcription is the process in which a gene's DNA sequence is copied to form a messenger RNA molecule. The DNA molecule unwinds due to the action of DNA helicase. RNA nucleotides complementary base pair ...

JF
Answered by John F. Biology tutor
2043 Views

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