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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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How does trade affect the economic development of LIDC countries? Provide a case study to support your argument.

Trade is vital for economic development. Ethiopia is one of the least developed countries in the world. The country's main exports are mostly primary products such as coffee, flowers and vegetables. The coun...
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Answered by Esme B. • Geography tutor
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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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