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A curve is defined by the parametric equations x = 3^(-t) + 1, y = 2 x 2^(t). Show that dy\dx = -2 x 3^(2t).

Write 3^(t) as an expression involving x : We can rewrite x = 3^(-t) + 1 as x - 1 = 3^(-t) ; equivalently, 3^(t) = (x-1)^(-1). Substitute this expression into y, to write y in terms of x: y = 2 x 3^(t) = ...

MK
Answered by Maleeha K. Maths tutor
3751 Views

expand and simplify (x+1)(x-1)

first begin by expanding the brackets using the CLAW method (shown using whiteboard diagram)multiply the first of each bracket together, we get x2multiply the first term of the first bracket an...

AT
Answered by Adam T. Maths tutor
10535 Views

root3 (root6 + root12) can be written as Aroot2 + B

root3 (root6 + root12) (root3 * root6 ) + (root3 +root12) = root18 + root36= (root9 + root2) + 6= 3root2 +6a= 3 b = 6

DM
Answered by Dorcus M. Maths tutor
3765 Views

What is the functionalist view of society?

Functionalists, such as Durkheim, argued that society is a structure in which everybody works together for the common good of us all. This idea was referred to as the organic analogy by Durkheim, who argu...

RD
Answered by Rebecca D. Sociology tutor
3630 Views

Write down the expansion of (cosx + isinx)^3. Hence, by using De Moivre's theorem, find cos3x in terms of powers of cosx.

First, we expand by using binomial expansion (it is always helpful to draw Pascal's triangle to find each term's coefficients): 1 1
1 2 1
1 3 3 1
Since the function is raised to the...

HF
Answered by Hiro F. Maths tutor
13009 Views

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