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Find the area enclosed by the curve y = cos(x) * e^x and the x-axis on the interval (-pi/2, pi/2)

To find the area enclosed by a function, we need to use integration. Here, the function is not easy to integrate just by inspection, but it is the product of two functions we do know how to integrate: cos(x)...
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Answered by Tomas S. • Maths tutor
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What is differentiation and how do I do it?

explain the following briefly: To work out the gradient, first principles, shortcutsexplain in detail: different methods
Answered by • Maths tutor
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In what ways does the painting 'La Grande Odalisque' by Ingres (1814) reflect an “orientalist” vision of the "East"?

'La Grande Odalisque' depicts an odalisque, or concubine, reclining on a bed as she greets her next customer who has entered the scene (supposedly the viewer). It not only marks Ingres' combination of neocla...
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Given that: y = 3x^2 + 6x^1/3 + (2x^3 - 7)/(3x^1/2), x > 0 Find dy/dx, give each term in its simplest form

y = 3x 2 + 6x 1/3 + (2x 3 /3 - 7/3)x -1/2 Using the multiplication rule for indices y = 3x 2 + 6x 1/3 + (2/3)x 5/2 - (7/3)x -1/2 Then differentiate each term with respect to x to find dy/dxdy/dx = 6x + 2x -2...
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Relate the structural adaptations of lumbar vertebrae to their functions (6 mark).

Lumbar vertebrae have large centra (vertebral bodies) - greater weight bearing from torso (1).Contain compression membranes which aid with shock absorption from movement (1) as well as resisting compressionS...
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Answered by Alice F. • Biology tutor
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