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A stone, of mass m, falls vertically downwards under gravity through still water. At time t, the stone has speed v and it experiences a resistance force of magnitude lmv, where l is a constant.

A stone, of mass m, falls vertically downwards under gravity through still water. At time t, the stone has speed v and it experiences a resistance force of magnitude lmv, where l is a constant. QUESTION: a. ...
RH
Answered by Ronan H. • Maths tutor
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I don't understand chain rule for differentiation especially when combined with more complex functions.

The chain rule is a method that allows you to differentiate a function of a function, which can be of the form y = f[g(x)]. That is, g is a function of x and f is a function of g, which in turn is a function...
AS
Answered by Adamos S. • Maths tutor
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Find the values of y such that log2(11y-3)-log2(3)-2log2(​y) = 1

Find the values of y such that log 2 (11y-3)-log 2 3-2log 2 y = 1 Power law: 2log 2 y = log 2 y 2 Product law: log 2 (11y-3) - log 2 3 - log 2 y2 = log 2 (11y-3) - log 2 (3y 2 ) Quotient law: log 2 (11y-3) -...
JP
Answered by Joe P. • Maths tutor
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How do you differentiate this

In differentaition, it is all about multiplying and taking away. Look at the first integer and the number that it is in the power off. You have to simply times the integer with the power of number and then d...
MD
Answered by Meghna D. • Maths tutor
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Let y=arcsin(x-1), 0<=x<=2 (where <= means less than or equal to). Find x in terms of y, and show that dx/dy=cos(y).

First, the question asks us to find x in terms of y, or in other words, rearrange the equation to be in the form ' x= ' , rather than ' y= ', as it is currently. We start with y=acrsin(x-1) , as given in the...
KM
Answered by Kalina M. • Maths tutor
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