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'Too large, too lavish and too ostentatious to be beautiful.’ How far do you agree with this view of the Parthenon?

The constant stream of visitors to the Parthenon today is testament to the beauty and impact of the impressive temple, in the eyes of modern viewers. However, it is worth exploring whether the temple was con...
HT
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What exactly is pi?

Pi is the ratio between a the circumference and the diameter of a circle. It's just a number which happens to describe this ratio for any circle you can think of. Let me explain, using the whiteboard...
HB
Answered by Harry B. Maths tutor
3308 Views

Why does 1/x integrate to lnx?

If we let y = lnx, we then know that x = e y . By differentiating both sides of this equation with respect to y we get:dx/dy = e y , as the exponential function differentiates to itself when differentiated w...
CL
Answered by Chris L. Maths tutor
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Solve the equation sec^2 x + 2tanx = 0 , 0 ≤ x ≤ 2π, question from HL Maths exam May 2017 TZ1 P1

We start with sec^2 x + 2tanx = 0 for 0 ≤ x ≤ 2π Note that sec^2 x = tan^2 x +1 tan ^2 x + 2tan x +1 = 0 (tan x +1)^2=0 tan x = -1 x=3π/4 or x=7π/4
MK
Answered by Michał K. Maths tutor
7243 Views

y is proportional to x^2 and that when y = 75, x = 5. Find a formula for y in terms of x and find y when x=3

In a proportional equation, you represent the factor of proportionality as k. In this case it means that y=kx^2. In the question you're given a number for both y and x. Sub these in in order to solve for k. ...
KI
Answered by Kesem I. Maths tutor
4878 Views