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Express 3cos(theta) + 5sin(theta) in the form Rcos(theta - alpha) where R and alpha are constants, R>0 and 0<alpha<90. Give the exact value of R and the value of alpha to 2dp.

Write out identity: Rcos(theta - alpha) = Rcos(theta)cos(alpha) + Rsin(theta)sin(alpha) from formula booklet Write out in form of question so it's easier to compare: 3cos(theta) + 5sin(theta) = R[cos(alpha)c...
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Answered by Olivia S. • Maths tutor
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What is the difference between a Bronsted Lowry acid and a Lewis Acid?

In chemistry there are two distinct theories to explain acid-base reactions; the Bronsted-Lowry and Lewis acid-base theories. The Bronsted-Lowry theory talks about removal or transfer of hydrogen ions (H+) i...
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Answered by Michael E. • Chemistry tutor
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how to write down the differential equation from a word problem, involving rate of change.

Read the word problem more than once to make sure you fully understand what is being asked and write down the variables involved. Then try to write down all the derivatives in terms of each other, using the ...
CG
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How do you use position words in Mandarin?

Some position words: 前边 qián - in front 后边 hòu - behind 左边 zuǒ - left 右边 yòu - right 上边 shàng - above 下边 xià - below 里边 lĭ - inside 外边 wài - outside Explanation: Word order is different in Chinese from what ...
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Answered by Serena C. • Mandarin tutor
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Differentiate: y = 2 ^ x

y = 2 ^ x take ln of both sides ln( y) = ln (2 ^ x) using the log rules we can bring the power of x down in front of the ln ln( y ) = x*ln(2) differentiate both sides wrt x ( 1 / y ) * dy / dx = ln(2) dy / d...
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Answered by Shantu H. • Maths tutor
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