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Given: 𝑓(𝑥) = 𝑎𝑥^3 + 𝑏𝑥^2 − 3 and 𝑓"(−2) = 0. If it is further given that the point (−3; 6) lies on the graph of 𝑓. Show that 𝑎 = 1/3 and 𝑏 = 2.

We start off by finding the first derivative of equation f(x) = ax³ + bx² - 3: f'(x) = 3ax² + 2bx. We now take the second derivative of equation f, because we have been to...

Answered by Neil L. • Maths tutor

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Outline a study into obedience

Milgram's theory of agency and factors affecting obedience clearly outlines several factors important in affecting an individual's level of obedience. He tested whether the proximity between the confedera...

Answered by Grace C. • Psychology tutor

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Solve the simultaneous equations: 2x + y = 18 and x - y = 6

We need to find a value of x to sub into equation 1, so add y to both sides of equation 2: x = 6 + y. Then sub this into the x value of equation 1 and solve to find y: 2(6 + y) + y = 18. 12 + 2y + y = 18....

Answered by Anna W. • Maths tutor

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Explain one possible effect on the equilibrium market price of an increase in production costs for firms. (2 marks)

An increase in a firm's production costs might also mean a fall in a firm's willingness to supply a product, thereby resulting in a fall in the quantity of the product supplied, resulting in a new higher ...

Answered by Sam H. • Economics tutor

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There are 6 orange sweets in a bag of n sweets. Hannah picks two sweets at random without replacement, and they are both orange. Show that n^2-n-90=0

This is a multi step question that requires both good understanding of probability and maniuplating algebraic fractions.PROBABILITYThe first step is recognizing that as there are 6 orange sweets out of a ...

Answered by Ben N. • Maths tutor

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