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Prove that "6^n + 9" is divisible by 5 for all natural numbers.

First assess that the initial case of where n = 1 is true. In this case, 6+9=15=53, so we can see that the case is true.We can then assume that 6k+9 is a multiple of 5, so we can let 6...

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Give the name and describe the process by which macrophages kill pathogens.

Phagocytosis. Macrophage picks up signals of pathogen, extends cytoplasm around pathogen and engulfs it in a vesicle. Lysosomes diffuse towards the vesicle through the cytoplasm, fuse and the (lytic) enzy...

IB
Answered by Isabel B. Biology tutor
2051 Views

Explain what role nature plays in King Lear

Key advice for an answer:You must come up with a point/a line of argument: In King Lear, Shakespeare subverts ordinary early-modern views of hierarchy and natural order t...

Answered by English Literature tutor
3256 Views

A curve C has equation: x^3+2xy-x-y^3-20=0. Find dy/dx in terms of x and y.

First we need to make sure we understand implicit differentiation. As we are differentiating with respect to x, y has to be treated differently, this is because it could be anything from a constant to a f...

MM
Answered by Martin M. Maths tutor
5567 Views

Find the inverse of the function g(x)=(4+3x)/(5-x)

For simplicity first rewrite as y=(4+3x)/(5-x). Now swap any x for a y, and any y for an x. This leaves the equation x=(4+3y)/(5-y). Our goal is to make y the subject of the formula. Multiply both sides b...

MM
Answered by Martin M. Maths tutor
3873 Views

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