Consider the functions:

Mathematics

1 answer:

Zolol [24]3 years ago

7 0

Answer:

The function f(x) was translated right 3 units and up 2 units.

Step-by-step explanation:

F(x)=(2/3)^x

If we move it right for 3 units, we get

f(x)= (2/3)^(x-3)

If we move up 2 units , we get

g(x)= (2/3)^(x-3) +2

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Answer:

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Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

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Substituting the terms of the equation and the derivative of r´, as follows,

$r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)} dt$