: dy 1. Calculate for dt Int=t’in(v+e’) 5 2. Given the function f(x)=tanx. 2.1 -1 Calculate the Maclaurin series expansion of the function f(x) =

: dy
1.
Calculate
for
dt
Int=t’in(v+e’)
5
2.
Given the function f(x)=tanx.
2.1
-1
Calculate the Maclaurin series expansion of the function f(x) = tanx up to the second
%3D
non-zero term
3
2.2 Use 2.1 and write down and determine the value of f(0.4). Compare the answer to
f(x)= tanx, x=0.4 , correct to 4 decimal places, when evaluated on a calculator.
2
2
3.
dx
sinh(2xV1+x?
dy
4. If y= cosh 4 tanhx) then
dx
2

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