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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 ...

MH
Answered by Matthew H. Maths tutor
8047 Views

Explain what a determiner is and highlight its two different forms.

  1. It is a word that introduces a noun.

e.g. The dog lay on the mat.

  1. Definite= the, Indefinite= a/an
HF
2227 Views

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...

MB
Answered by Marta B. Physics tutor
1962 Views

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 carbocatio...

CC
Answered by Charles C. Chemistry tutor
30480 Views

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 ...

AB
Answered by Alfie B. Biology tutor
20491 Views

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