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Find the x co-ordinates of the stationary points of the graph with equation y = cos(x)7e^(x). Give your answer in the form x = a +/- bn where a/b are numbers to be found, and n is the set of integers.

The stationary points on a curve of the form y=f(x) are where dy/dx = 0. To find dy/dx, differentiate using the product rule: dy/dx = 7e^x(d/dx(cosx)) + cosx(d/dx(7e^x)) = -sinx(7e^x) + cosx(7e^x). Now se...

JS
Answered by Joseph S. Maths tutor
6438 Views

How do I use Pythagoras' Theorem to calculate the hypotenuse of a triangle?

[use of board] So, Pythagoras' theorem states that a^2+b^2=c^2. Therefore, we need to mark the triangle with a, b &c. a and b do not matter, c must be the longest edge, that creates the diagonal. Put ...

CT
Answered by Cathy T. Maths tutor
3185 Views

How do I structure an effective essay, for example for Lord of the Flies?

To answer this question, let's suggest that the essay question is 'How is human nature shown to change throughout the novel?' The best way to structure an essay is using the PEAL method: Point, Evidence, ...

CT
Answered by Cathy T. English tutor
6301 Views

How do I learn when to use each case and not confuse them in speech or writing?

The case system in Russian can be quite daunting, especially because it is a very different structure to what we use in English. Memorizing each individual ending can take a long time and a lot of practic...

AP
Answered by Alex P. Russian tutor
2215 Views

What is a volta?

A volta is the "turning point" in a poem, a moment of dramatic shift in tone or theme of the poem. In a Shakespearean sonnet, it can be found anywhere in the second half of the poem, usually wit...

ZW
19407 Views

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