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A level Maths question - The graph of y=2sin(2x)+1 is rotated 360 degrees about the x-axis to form a solid. Find the volume enclosed by the curve, the co-ordinate axes and the line x=pi/2

First, recall that the formula for finding such a volume is pi times the integral from 0 to pi/2 of y^2 with respect to x. This leads to pi times the integral from 0 to pi/2 of 4sin^2(2x) + 4sin(2x) + 1 (...

Answered by Robbie K. • Maths tutor

3335 Views

Understanding Poetic Metre - What, Why, and How?

When listening to music at home, you may find yourself tapping your feet along to the beat - or rather, to the rhythm. Rhythm is the most essential part of all the music you listen to, and it's at the hea...

Answered by Beth W. • English Literature tutor

7273 Views

Which verbs use être in the passé composé?

You can remember which verbs use être rather than avoir by learning this pneumonic:DR + MRS VANDERTRAMP
DevenirRevenir
MontrerRentrerSortir
VenirArriverNaïtreDescendreEntrerRetournerTomberR...

Answered by Imogen F. • French tutor

1730 Views

What's the difference between the Imperfect and Preterite tense?

The Imperfect tense is primarily used for explaining actions that happened regularly in the past or for explaining characteristics and states of things in the past. For example, you would say 'había mucho...

Answered by Imogen F. • Spanish tutor

1831 Views

When do I use the subjunctive in Spanish?

The subjunctive is a mood, not a tense. The other ‘moods’ would be the indicative and the imperative. The subjunctive also exists in English (“If I were rich, I would…”) but it is much more common in Span...

Answered by Jasmine K. • Spanish tutor

1631 Views