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A curve has equation y = e^x + 10sin(4x), find the value of the second derivative of this equation at the point x = pi/4.

Firstly, differentiate y with respect to x once to obtain the equation dy/dx = e^x + 40cos(4x). Then differentiate this resultant expression, with respect to x, to acquire a solution for (d^2)y/d(x^2) = e...

Answered by Joe I. • Maths tutor

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How well does the dopamine hypothesis explain the development of schizophrenia?

The dopamine hypothesis states that schizophrenia is caused by increases in the amount of the neurotransmitter dopamine in the brain. This theory is supported by research that showed that the use of amphe...

Answered by Ellie S. • Psychology tutor

5301 Views

Ben, Coleen and Khalil, need to learn the local traffic rules for a test before they are allowed to drive. Describe and evaluate the Levels of Processing framework, with reference to how the group of friends might learn the traffic rules (12 points)

Levels of Processing is a theory which states that memory is dependent on the depth of processing taking place whilst encoding information. Deep levels of processing will lead to stronger memory traces wh...

Answered by Gamze G. • Psychology tutor

2445 Views

Explain how CO2 can cross a cells plasma membrane

Normally we think of CO2 as a gas because it is (at least when its in the atmosphere it is). However, it is a very different story inside of cells. CO2 is produced as a result of respiration inside mitoch...

Answered by Eoin B. • Biology tutor

3818 Views

A function is defined parametrically as x = 4 sin(3t), y = 2 cos(3t). Find and simplify d^2 y/dx^2 in terms of t and y.

We first need to find dy/dx and we use the fact that dy/dx = dy/dt * dt/dx. So we have dy/dt = -6sin(3t) and dx/dt = 12cos(3t). Substituing these in we have dy/dx = -6*sin(3t)1/(12cos(3t...

Answered by Barnaby S. • Maths tutor

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