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Describe how regulators maintain a constant body temperature?

Receptors in the skin send messages to the hypothalamus in the brain which then sends nerve impulses to effectors around the body. Examples of effectors include sweat glands, blood vessels and muscles. The b...
KS
Answered by Katie S. • Biology tutor
1623 Views

Let f(x)=xln(x)-x. Find f'(x). Hence or otherwise, evaluate the integral of ln(x^3) between 1 and e.

We use the product rule with u=x and v=ln(x) (so u'=1 andv'=1/x) to differentiate xln(x) to ln(x)+1, and -x just differentiates to -1, hence we have. f'(x)=ln(x). Now note that ln(x^3)=3ln(x) using propertie...
MJ
Answered by Matthew J. • Maths tutor
3918 Views

Translate the following sentence: My friends and I like to help old people when we can. We have no time now because we get a lot of homework.

Things that they are testing here: 'to help' = helfen + DATIVE; 'because' = weil (sends main verb to the END); general adjectival endings and plurals ANSWER(S): Meine Freunde und ich helfen gern ( like to ca...
ZG
Answered by Zac G. • German tutor
2097 Views

Solve the simultaneous equations: 3x-y=1, x^2+y^2=5

x=1, y=2 x=-2/5, y=-11/5
CW
Answered by Chloe W. • Maths tutor
4376 Views

How have ideas about atomic structure changed through history?

The Greeks were the first to think of atoms, Democritus defined an atom as the smallest indivisible piece of matter using the idea that if you continue to cut a material in half, you must eventually reach a ...
SW
Answered by Scott W. • Chemistry tutor
3812 Views