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Use calculus to find the set of values of x for which f(x) = x^3 - 9x is an increasing function.

f(x) is an increasing function when its gradient is positive. To find the the gradient of the the function we must differentiate it:d/dx f(x) = 3x2 - 9. To differentiate we multiply the exponen...

Answered by Maths tutor
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3 green balls, 4 blue balls are in a bag. A ball is removed and then replaced 10 times. What is the probability that exactly 3 green balls will be removed?

(Binomial)P(G=3) : (10C3)(3/7)3(4/7)7

Answered by Maths tutor
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Evaluate gf(-5) for the functions f(x)=3x+7, g(x)=3x^2+6x-9

I like to think of gf(-5) as g ( f(-5) ), which helps visualise the order in which you need to calculate the output for each function. First you need to find the answer for f(-5), which you then use as t...

Answered by Maths tutor
4212 Views

Outline a cognitive approaches to explaining depression, with reference to who founded it and examples to explore their ideas.

Beck's negative triad focuses on negative schemas, maladaptive frameworks of understanding, that create cognitive biases which then lead to feeling of depression and lack of control. The triad includes bi...

Answered by Psychology tutor
1911 Views

Using evidence from a city you have studied, analyse the way the city is represented (6 Marks)

The city of Salford is marketed as being a modern city with various contemporary features to underpin this imagery of the city. The city has recently undergone various major developments with the creation...

Answered by Geography tutor
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