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Find where the curve 2x^2 + xy + y^2 = 14 has stationary points

d/dx (xy) = x dy/dx + y d/dx (y^2) = 2y dy/dx [This is from the chain rule] So, d/dx (2x^2 + xy + y^2 = 14) => 4x + x dy/dx + y + 2y dy/dx = 0 set dy/dx = 0 as stationary point has gradient 0 Obtains 4x+y...
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Answered by Matthew H. • Maths tutor
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Explain what a determiner is and highlight its two different forms.

It is a word that introduces a noun. e.g. The dog lay on the mat. Definite= the, Indefinite= a/an
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A hot air balloon is travelling at a speed of 5.0m/s at an angle of 60.0 degrees up from the horizontal. Find the vertical and horizontal components.

The diagram would have the following: An arrow pointing upwards labeled v(y) An arrow pointing to the right labeled v(x) An arrow pointing in between those lines with a degree between this one and the right ...
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Answered by Marta B. • Physics tutor
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But-1-ene reacts with HBr to form a saturated compound, name and draw the mechanism, then explain how three isomeric products are formed.

The mechanism is an Electrophilic Addition. Explanation of the drawing: Draw a curly arrow from the but-1-ene double bond to the H and a curly arrow from the HBr bond to Br; forming a secondary carbocation a...
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Answered by Charles C. • Chemistry tutor
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Describe how the structure of ATP is similar to and differs from the structure of a DNA nucleotide.

First of all, one can tell a lot about the structure of these molecules by looking at their full names - Adenosine triphosphate and deoxyribose nucleic acid. There are many structural similarities between AT...
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Answered by Alfie B. • Biology tutor
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