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How many solutions does the equation 2sin^2(x) - 4sin(x) + cos^2(x) + 2 = 0 have in the domain 0<x<2pi

Firstly lets rearrange the equation to get rid of cos^2(x) to make it easier to solve by using the identity sin^2(x)+cos^2(x) = 1. Then we get 2sin^2(x) - 4sin(x) + 1 - sin^2(x) + 2 = sin^2(x) - 4sin(x) +...

Answered by Disha D. • MAT tutor

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Were the financial policies of Ludwig Erhard the main reason for the German 'Economic Miracle'?

In the wake of the destruction of WWII, Germany underwent a remarkable period of economic growth known as the 'Economic Miracle': annual GDP growth averaged 6% from 1950-70, and unemployment shrunk from a...

Answered by Jacob A. • History tutor

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Discuss Cleopatra’s presentation in Act 1 Scene 3

Cleopatra’s desire for Anthony acts to undermine her portrayal of commanding through her obsession with him that seems to govern her irrational actions. Her opening line: ‘where is he?’ portrays her to be...

Answered by • English tutor

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A satellite is in orbit of the Earth, and moves at a constant orbital speed of 3055.5m/s. If it is at an altitude of 35786km, calculate the time period for a complete cycle, giving your answer in hours. Answer should be given in in 3 significant figures.

Orbital Speed = [2Π(Orbital Radius)]/Time Period
3055.5m/s = 10999.8km/h
therefore:
10999.8km/h = [2Π(35786km)]/TT = [2Π(35786km)]/(10999.8km/h)T = 20.4 hours

Answered by • Physics tutor

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Describe how starch is digested mechanically and chemically from the time we eat it in our mouth until it reaches our small intestine where it's absorbed.

The food firstly is mechanically digested in the mouth by the action of our teeth and tongue when we bite and churn it around. The saliva secreted in our mouth contains amylase which chemically breaks dow...

Answered by Louise P. • Biology tutor

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