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A stationary point of inflection implies a second derivative of 0, does this work the other way around?

No, and we may take a counterexample to see why. If y=x^5+5/3x^4, dy/dx=5x^4+20/3x^3, d2y/dx2=20x^3+20x*2=20x^2(x+1). Setting this to 0 will give us the candidates for a POI, but not all these numbers wil...

TR
Answered by Toby R. Maths tutor
3400 Views

Why is adolescence a critical period in human development?

The period between childhood and adulthood is a time of great transition and turbulence with regards to changing bodies, close relationships, and expectations. It is one of the most rapid phases of develo...

CK
Answered by Chloe K. Psychology tutor
1921 Views

Tetrodotoxin (TTX) is a chemical found in pufferfish which binds to voltage-gated sodium channels causing inactivation via a conformational change. Poisoning can result in paralysis leading to death. How might this occur? (4 marks)

This question asks about nerve action potential generation. There are a couple of clues - these include 'voltage-gated sodium channels' and 'paralysis' which suggests the idea of failure of impulse transm...

RA
Answered by Rafee A. Biology tutor
4386 Views

I buy a car from a dealership for £3500. The car depreciates in value for every year I own it. What is the value of the car after I have owned it for 18 months if it depreciates at a rate of 5 percent?

This is a compound interest problem. Here we have to put 18 months in terms of years. There are 12 months in a year, so 18 months is a year and 6 months.
6 months is half a year, so 18 months repres...

LM
Answered by Lauren M. Maths tutor
3363 Views

In triangle XYZ: XZ = 10 cm; YZ = 8 cm; cos Z = 1/8. Calculate the length of XY.

We can use the cosine rule to determine the lenght of XY.
XY2 = 102+82-2108cos ZXY2 = 100+64-180(1/8) = 144XY = 12

VH
Answered by Vencel H. Maths tutor
6757 Views

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