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Write 16× 8^2x as a power of 2 in terms of x.

16 = 2⁴8^2x = (2³)^2x = 2^6xTherefore, 16x8^2x = 2⁴x 2^6x = 2^4+6x

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A curve has equation y = 20x −x^2 −2x^3 . The curve has a stationary point at the point M where x = −2. Find the x-coordinate of the other stationary point of the curve.

dy/dx = 20 - 2x - 6x² = -6x² - 2x + 20 which factorises to dy/dx = (10 - 6x)(2 + x). This shows that x=-2 and x=10/6=5/3 are stationary points of y = 20x −x² −2x³

Answered by Xixi Y. • Maths tutor

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How does an increase in interest rates affect real GDP?

An increase in interest rates increases the incentive to save, as the reward for saving is now higher. So, saving in the economy is likely to increase, which will decrease consumption (assuming that peopl...

Answered by Laura N. • Economics tutor

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Does the ECHR constitute the most effective implementation instrument for the regional protection of human rights?

The ECHR emerged at a critical moment in European History. Europe had just dealt with a catastrophic war and the ECHR was enshrined with the objective of safeguarding the democratic character of Western E...

Answered by Panagiotis A. • Law tutor

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Explain Aristotle's Four Causes

In discussing the body and soul, many deem Aristotle to be a materialist, as he doesn't believe in the distinction between the body and soul like other philosophers such as Plato. Aristotle is often calle...

Answered by Caitlin K. • Philosophy and Ethics tutor

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