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A curve has an equation: (2x^2)*y +2x + 4y – cos(pi*y) = 17. Find dy/dx

You must differentiate each individual term in the equation.Firstly start with the term of the product of 2x 2 * y, using the product rule (dy/dx = u dv/dx + v du/dx)Let u = 2x 2 and v = yDu/dx = 4x and dv/d...
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Answered by Matthew B. • Maths tutor
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‘Only the most naïve reader could be seduced by the Satan of Book IX of Paradise Lost.’ How far do you agree?

The character of Satan is perhaps the most intriguing in Paradise Lost . He embodies evil by rebelling against the authority of God in heaven, yet he retains intelligence, emotion and even a disarming charis...
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A curve f(x,y) is defined by sin(3y)+3ye^(-2x)+2x^2 = 5. Find dy/dx

In questions where we have a function of x and y equal to a constant, we need to find dy/dx indirectly.We use the formula (df/dx) + (df/dy)(dy/dx) = 0So all we do is differentiate each term in the function w...
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Answered by Lewie W. • Maths tutor
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Briefly outline the working memory model. (4 marks)

The working memory model, developed by Baddeley and Hitch (1974), is an explanation of how short-term memory is organised, taken from criticism of the multi-store model of memory. There are different compone...
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Answered by Aiesha F. • Psychology tutor
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Consider the closed curve between 0 <= theta < 2pi given by r(theta) = 6 + alpha sin theta, where alpha is some real constant strictly between 0 and 6. The area in this closed curve is 97pi/2. Calculate the value of alpha.

Student uses the definition of area [A = 1/2 integral r(theta)^2 d theta], and proceeds using standard integration techniques to give a quadratic solvable for alpha. [alpha^2 = 25] Thus, alpha = 5.
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Answered by Graham C. • Maths tutor
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