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Find the x-values of the turning points on the graph, y=(3-x)(x^2-2)

The minimum point occurs where dy/dx=0 We have 2 options: 1.) Expanding the brackets 2.) The product rule of differentiation The shortest is the product rule: dy/dx= (d/dx)(3-x).(x 2 -2) + (3-x).(d/dx)(x 2 -...
ZE
Answered by Zita E. • Maths tutor
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What are the main differences between directly and indirectly transitive verbs in French and why is it important to distinguish between them?

A transitive verb is simply a verb that takes an object. However, there are two types of these: directly transitive verbs are those that take a direct object pronoun (e.g. rencontrer qqn) , and indirectly tr...
CD
Answered by Chiara D. • French tutor
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Use algebra to find the set of values of x for which mod(3x^2 - 19x + 20) < 2x + 2.

The initial quadratic can be either positive or negative so we must solve for both possibilities. Solving for positive: 3x^2 - 19x + 20 &lt; 2x + 2 = 3x^2 - 21x + 18 &lt; 0 = x^2 - 7x + 6 &lt; 0 = (x - 6)(x ...
JM
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"He is far gone:" do you think Hamlet is mad any point during the play?

When Hamlet says that he will &quot;put an antic disposition on&quot; (Act 1, Scene V, 189), he positions himself as being a sane man playing the part of an insane man in order to confuse and deceive his unc...
CJ
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The height (h) of water flowing out of a tank decreases at a rate proportional to the square root of the height of water still in the tank. If h=9 at t=0 and h=4 at t=5, what is the water’s height at t=15? What is the physical interpretation of this?

Note: time, t, is measured in minutes, and height, h, is measured in metres. Let k&gt;0, a constant. The differential equation to be solved is given by: dh/dt = - k(h)^0.5. Using 'separation of variables' gi...
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Answered by Sandie N. • Maths tutor
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