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The equation of a curve is y = ax^2 + 3x + c where a and b are integers. The curve has a minimum point at (1,1), find a and c

We start by trying to find out the values of a and c using the information about the minimum point. We know we can rearrange the right hand side by completing the square: y = a(x^2 + 3x)+cy = a(x+3/2a)^2+...

Answered by Larbi E. • Maths tutor

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Find the derivative of yx+5y-sin(y) = x

When differentiating an expression of x and y we can use implicit differentiation when terms contain the y variable, recall that this is essentially differentiating the y term by y and then multiplying by...

Answered by Larbi E. • Maths tutor

2790 Views

How is the resting membrane potential established in a neurone?

The membrane of an axon consists of three main protein channels: the sodium/potassium pumps, voltage-gated sodium channels and voltage-gated potassium channels. These play a role in establishing the membr...

Answered by Umraj R. • Biology tutor

3672 Views

solve x^2 >3(x+6) (4 mks)

x²>3(x+6)Firsty expand brackets --> x²>3x+18Then make one side = to 0 ---> x²-3x-18>0Solve the quadratic (x+3)(x-6)>0find the solutions when =0 x=-3 and ...

Answered by Lucy C. • Maths tutor

2263 Views

Describe the steps following the arrival of an action potential to the pre-synaptic bulb allowing for transmission of a signal across a synapse.

Depolarisation of plasma membrane opens voltage-gated calcium channels, allowing calcium ions to move into pre-synaptic bulb down the concentration gradientHigh intracellular calcium results in the mobili...

Answered by William T. • Biology tutor

1975 Views