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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...

JI
Answered by Joe I. Maths tutor
3011 Views

Factorise the following equation: 2x^2 + 8x + 8

The first step in factorising is to look for a 'common factor'. A common factor is a number or letter that all the values have in common. 

All the integers (numbers) in this equation can be divided...

EK
Answered by Ellen K. Maths tutor
4802 Views

What is the difference between mitosis and meiosis?

Mitosis and meiosis are both ways that cell division can happen in humans. Mitosis produces two daughter cells that are genetically identical with the same number of chromosomes (diploid). Whereas, meiosi...

AA
Answered by Aisha A. Biology tutor
2633 Views

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...

ES
Answered by Ellie S. Psychology tutor
4463 Views

How do I find the roots of a quadratic equation?

There are a few methods you can use. Here are two methods: 1) Inspection. Say we have the equation x2+4x+3. We can find two numbers which multiply together to make 3 but add together to make 4....

DE
Answered by Daniel E. Maths tutor
2948 Views

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