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Solve e^(2x) = 5e^(x) - 6, giving your answers in exact form

Solve e 2x = 5e x - 6 e 2x - 5e x + 6 = 0(e x ) 2 - 5e x + 6 = 0 (Let k = e x ) k 2 - 5k + 6 = 0(k-3)(k-2) = 0k = 3 k = 2e x = 3 e x = 2x = ln(3) x = ln(3)
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Answered by Thomas H. Maths tutor
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How can poetic techniques be used to represent different themes

Setting can be represented through vivid imagery in the language. Repetition, assonance and alliteration can help to increase pace, which can help to create an atmosphere of fear or excitement. Symbols help ...
HD
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Which of the following was of greater importance in the early growth of Islam: the personal contribution of the Prophet Muhammad, or the politial circumstances of Medina in the early seventh century?

These 10 mark questions are straightforward to answer as long as you use a clear structure: no introduction, one paragraph giving reasons why the first specified factor was the most important, one pargraph d...
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Answered by Thomas L. History tutor
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A curve C is mapped by the equation ( 1+x)(4-x). The curve intersects the x-axis at x = –1 and x = 4. A region R is bounded by C and the x-axis. Use calculus to find the exact area of R.

First draw the curve. Figure out and write the integration problem. Integral 4 -1 (1+x)(4-x) dx.Expand integral 4 -1 4 + 3x - x 2 dx.= 4 -1 [4x + 3x 2 /2) -x 2 ] = 16 + 30 - 64/3 - (-4 + 3/2 + 1/3)= 125/6
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Answered by Vishesh D. Maths tutor
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Explain the bonding in and the shape of a benzene molecule.

Stage 1 -Bonding 1a) Each C has three (covalent) bonds 1b) Spare electrons (in a p orbital) overlap (to form a pi cloud) 1c) delocalisation Stage 2 -Shape 2a) Planar 2b) Hexagon/6 carbon ring/120o bond angle...
YC
Answered by Yousif C. Chemistry tutor
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