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4. The curve C has equation 4x^2 – y3 – 4xy + 2y = 0. P has coordinates (–2, 4) lies on C. (a) Find the exact value of d d y x at the point P. (6) The normal to C at P meets the y-axis at the point A. (b) Find the y coordinate of A

Differentiate Implicitly with respect to x- ( do it term by term, terms with only x's diff normally, terms containing a Y should be differentiated following the standard pattern but then multiplied by dy/dx ...
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Answered by Hamish P. • Maths tutor
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Express x^2+8x+15 in the form (x+a)^2-b

Completing the Square is required to solve this equation. First, identify A,B, and C of the quadratic equation: A=1, B=8, C=15. Halve B to obtain a : B/2 = 8/2 = 4 so a = 4. Substitute a into the form (x+a) ...
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Answered by Mahfuza P. • Maths tutor
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Solve the quadratic function x^2 + 3x + 2

(x+2)(x+1)
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Answered by Prashant R. • Maths tutor
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A reaction, A + B -> C, is considered second order with respect to A and first order with respect to B. What is the effect of simultaneously doubling the concentration of A and B on the rate of reaction?

"second order with respect to A" tells us that doubling the concentration of A will cause the reaction rate to increase by a factor of 4."first order with respect to B" then tells us that...
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Answered by HENRY J. • Chemistry tutor
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Could you tell me what would be the six basic emotions of a person?

Happiness, sadness, fear, anger, surprise and disgust.
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Answered by Madalina P. • Drama tutor
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