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Find the Taylor Series expansion of tan(x) about π/4 up to the term in terms of (x-π/4)^3.

Firstly, set f(x) = tan(x). We can then differentiate this 3 times in order to find f'(x), f''(x) and f'''(x). This will require use of the chain rule and the product rule. We can find:f'(x) = sec²

Answered by Jack M. • Further Mathematics tutor

54652 Views

Calculate the frequency of genotypes in a population in Hardy Weinberg equilibrium with the allele frequencies of A=0.6 and a=0.4. Thus calculate the number of individuals with each genotype in a population of 150

A= 0.6 a= 0.4 p+q=1 where p=A and q=a p²+2pq+q²=1where AA=P²Thus AA frequency in the population = 0.6²= 0.36Aa=2pq Aa frequency in the population = 2(0.4 X 0.6...

Answered by Harvey B. • Biology tutor

6487 Views

What is the difference between procedural memory and episodic memory?

Procedural memory is memories of skills and actions whereas episodic memory is memory of life events. Procedural memory is non-declarative (difficult to explain verbally) whereas episodic memory is declar...

Answered by Kimran Kaur S. • Psychology tutor

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How can diuretics be used to decrease blood pressure?

Diuretics can reduce the amount of Na+ that is reabsorbed by the nephron (leads to excretion of more salt and water in the urine)
The reabsorption of Na+ from the kidney tubule back into the capillar...

Answered by Kimran Kaur S. • Biology tutor

3822 Views

How do the alveoli within the lungs create an efficient gas exchange surface?

The epithelial cells in the lungs are arranged into structures called alveoli which are found at the end of bronchioles and are adapted for efficient gas exchange.
Firstly, there are millions of alv...

Answered by Kimran Kaur S. • Biology tutor

10714 Views