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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).(x2

ZE
Answered by Zita E. Maths tutor
3359 Views

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...

CD
Answered by Chiara D. French tutor
3906 Views

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 < 2x + 2    =    3x^2 - 21x + 18 < 0

...
JM
11574 Views

"He is far gone:" do you think Hamlet is mad any point during the play?

When Hamlet says that he will "put an antic disposition on" (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 ...

CJ
13586 Views

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>0, a constant. 

The differential equation to be solved is given by: dh/dt = - k(h)^0.5.

Us...

SN
Answered by Sandie N. Maths tutor
5685 Views

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