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Find the an expression for dy/dx of the function y=(4x+1)ln(3x+1) and the gradient at the point x=1.

This question is example of product rule. To simplify need to define two terms u=4x+1 and v=ln(3x+1). Each term is then differentiated. du/dx=4. To differentiate v, need to define another term a=3x+1, theref...
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Answered by William S. Maths tutor
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PHYSICS A LEVEL Explain why, when a red giant becomes a white dwarf, it moves towards the lower left of the Hertzsprung-Russell diagram [2]

The fusing red giant shell drifts away form the core forming planetary nebula. Leaving only very hot core (white dwarf) (1) The core is hotter than the shell , the star moves left on the diagram. (1) Luminos...
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Answered by Lavana C. Physics tutor
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A curve has the equation x^2 +2x(y)^2 + y =4 . Find the expression dy/dx in terms of x and y [6]

Integrate each term in terms of x, then integrate each term in terms of y Make sure you state in what form you are integrating. Remember if you are integration in terms of y, the x values are constants and v...
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Answered by Lavana C. Maths tutor
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1. At the end of a marathon sweat covered runners are given a shiny foil sheet to stop them cooling down too quickly. a) Suggest why the runner may cool down too quickly without the foil sheet (1) b.) Explain how the foil sheet reduces heat loss(2)

Note consider what type of heat loss is occurring1a) key word suggest Runner covered in sweat , when this evaporates it will reduce surface temperature (1)b) key word explain, remember this means it t not en...
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Answered by Lavana C. Physics tutor
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How can I better structure my exam essays?

One of the major components of both the GCSE and A-level Spanish exams is the written task. Whilst at GCSE what is largely required is a demonstration of good knowledge of vocabulary and relevant grammar str...
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Answered by Esmee C. Spanish tutor
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