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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...

JM
Answered by James M. Maths tutor
5987 Views

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...

AL
Answered by Adam L. Maths tutor
3568 Views

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 musiq...

GP
Answered by Gaspard P. French tutor
2265 Views

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 repr...

EH
Answered by Edward H. Maths tutor
2803 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 ex...

NB
15563 Views

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