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How do you integrate 3x^2 - 6x + 5 (wrt x)?

To integrate any term, add one to the power of x and divide the co-efficient (amount of x) by the new power, so x n becomes x (n+1) /(n+1). Using this, 3x 2 becomes 1x 3 , -6x becomes -3x 2 , and 5 becomes 5...
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Answered by Simon C. • Maths tutor
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The variable x=t^2 and the variable y=2t. What is dy/dx in terms of t?

This question may seem difficult but we just have to remember the rules of parametric differentiation and the chain rule. The chain rules states that dy/dx=dy/dz*dz/dx where z is a third variable. Parametric...
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Answered by Samradnyee K. • Maths tutor
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What is the equation of the curve that has gradient dy/dx=(4x-5) and passes through the point (3,7)?

To answer this question, we must use our knowledge of integration and differentiation. First, we look at the information given to us. We have been told that the gradient of the curve is given by dy/dx=(4x-5)...
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Answered by Samradnyee K. • Maths tutor
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A line has equation y = 2x + c and a curve has equation y = 8 − 2x − x^2, if c=11 find area between the curves

Extracted from Cambridge International Examinations / MATHEMATICS 9709/11 Paper 1 Pure Mathematics 1 (7 points out of 10 for this question) A line has equation y = 2x + c and a curve has equation y = 8 − 2x ...
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How can I differentiate x^2+2y=y^2+4 with respect to x?

To differentiate this kind of expression you would need to use implicit differentiation. Although it may sound new, you already have all the skills you need to be able to do it. We will differentiate both si...
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Answered by Margarita S. • Maths tutor
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