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The height x metres, of a column of water in a fountain display satisfies the differential equation dx/dt = 8sin(2t)/(3sqrt(x)), where t is the time in seconds after the display begins. (a) Solve the differential equation, given that x(0)=0

Our DE (Differential Equation) dx/dt = 8sin(2t)/(3sqrt(x)) is separable because dx/dt can be expressed as a product of two functions of the form dx/dt = f(t)g(x) = (8sin(2t)) * (1/(3sqrt(x))).To solve the DE...
JM
Answered by James M. • Maths tutor
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What is the equation of the straight line perpendicular to the midpoint of the straight line that passes through (0,5) and (-4,7)?

Firstly, it's important to note that the question concerns straight lines, so it will be possible to express the answer in the form y=mx+c where m is the gradient and c is the y-intercept.To start, we need t...
AL
Answered by Adam L. • Maths tutor
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Pourquoi est-ce que la musique est si populaire ? A votre avis, l’influence de la musique, est-elle positive ou négative ?

La musique a de tous temps fait partie intégrante des cultures, ralliant les sociétés par-delà les castes, les clivages politiques ou les conflits religieux. Je défendrai l'influence bénéfique de la musique ...
GP
Answered by Gaspard P. • French tutor
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James wins the lottery and gets £200,000. He decides to spend 10% of his winnings and invest the rest. From the money he has invested, he receives interest of 3% per year. How much money does James have after 5 years (to the nearest pound)?

James starts with £200,000. He then spends 10% of his winnings: 200,000*(1-0.1)=180,000 The 1 represents 100%, which the amount of money James starts with. He then spends 10%, which is represented by the -0....
EH
Answered by Edward H. • Maths tutor
3658 Views

Describe the working memory model of memory (6 marks)

The working memory model was proposed by Baddeley and Hitch in 1974. They thought there were 3 different stores for short term memory; the phonological loop, the visuospatial sketchpad, and the central execu...
NB
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