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The graphs of functions f(x)=e^x and h(x)=e^(-.5x), where x is a real number and 0<x<1 ,lie on a plane. Draw these functions and find the area they and the line x=0.6 enclose using integration correct to 3 decimal places

∫ f(x)dx [.6, 0] - ∫ h(x)dx [.6,0]∫ f(x)dx = e^x....... f(x)dx [.6, 0] = (e^.6)-(e^0)=.822∫ h(x)dx = -2e^(-.5x)........... ∫ h(x)dx [.6,0]= (-2e^-.3)-(-2e^0)= .518.822 - .518= .304Therefore area enclosed ...

Answered by Brendan B. • Maths tutor

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How do i structure an English Literature essay?

P(oint) E(vidence) E(xplanation) L(ink) is a simple and helpful way to structure an English literature essay in note form. A strong paragraph will intertwine PEEL...

Answered by Daniella O. • English Literature tutor

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What are three adaptations in a leaf for photosynthesis?

Thin waxy cuticle - to protect the leaf without blocking the lightThin transparent epidermis - to allow more light to reach the palisade cellsLayers of palisade cells on the top surface - to absorb light<...

Answered by • Biology tutor

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Must all revolutions necessarily fail?

Note: such a question might appear in a humanities subject aptitude exam or interview. The following answer presents what I would consider a viable approach to the question.
INTR...

Answered by Maria Stella M. • Oxbridge Preparation tutor

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Explain how the properties of water are significant to living organisms.

Water is the medium of life. Its four key properties - thermal properties, ability to act as a universal solvent, cohesion and adhesion - help support the life processes and habitats of virtually all orga...

Answered by • Biology tutor

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