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Given y(x+y)=3 evaluate dy/dx when y=1

y(x+y)=3,yx +y 2 =3,Differentiating with respect to x,y+x(dy/dx) +2y(dy/dx)=0when y=1, x=3-1=2 (from original equation)1+2(dy/dx) +2(dy/dx)=0,dy/dx=-1/4
LP
Answered by Leto P. Maths tutor
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Explain the separation of powers found in the USA

The separation of powers is a system of shared power between three independent branches of government: the executive, judicial and legislative branches. Practically, the executive branch is run by the presid...
SO
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How to solve the inequality 4(x+3) < 60?

As we are working with an inequality we have to pay attention every time to the symbol, in this case less &lt;, that rules the inequality. The first step to solve it, it is the expansion of the LHS, so we ha...
AP
Answered by Ana P. Maths tutor
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Explain how gaseous exchange occurs in the lungs

Oxygen enters the nose/mouth along the trachea, bronchi, bronchioles and finally into the alveoli.The exchange of gases occurs between the alveoli and blood in the capillaries that supply the lungs. Capillar...
TD
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What are the differences between plant and animal cells?

For your GCSE, you need to know that there are three main differences between plant and animal cells:Plant cells have a cellulose cell wall while animal cells do not.Plant cells have chloroplasts while anima...
YA
Answered by Yara A. Biology tutor
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