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Given f(x)=(x^3-7)*(x+4)^5, find the term x^3 of f(x).

Before starting to solve this problem, student should acknowledge that there are more than a variable, which satisfies the condition x^3. There are two ways to obtain this answer: (1) x^3 in the first mul...

Answered by Amina H. • Maths tutor

1393 Views

f(x) = (4x + 1)/(x - 2) with x > 2. Find a value for 'x' such that f'(x) (first derivative of f(x) with respect to x) is equal to -1.

Re-write f(x) using indicies, so that the use of the product rule becomes more clear => f(x) = (4x + 1) *(x - 2)^-1 where ^ means 'raised to the power of' and * means 'multiplied by'.

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Answered by Zak S. • Maths tutor
4630 Views

Explain why certain natural disasters prove to be extremely costly in terms of economic damages.

A natural disaster is defined as a hazardous natural event such as a tsunami, which leads to signficant damage to the human population. The economic damage often increases when wealthier countries are imp...

Answered by Fleur D. • Geography tutor

3203 Views

Explain how the intensive rearing of domestic livestock increases net productivity

Productive animals are selectively bred to ensure the next offspring will be equally, if not more productive. These young animals are kept inside in warm conditions to limit energy loss due to maintaining...

Answered by James A. • Biology tutor

12090 Views

Nitrate from fertiliser applied to crops may enter ponds and lakes. Explain how nitrate may cause the death of fish in fresh water.

The applied nitrates may seep into water sources from the fields at times of rainfall. Here, they increase the nitrate concentration in the water, leading to an algal bloom. This layer of surface algae bl...

Answered by James A. • Biology tutor

15760 Views