3 years ago

Pre Calc Question Help,

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

6 0

All real numbers except 13

julsineya [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Domain is the set of all values of x where the function is defined. For this function the only limitation upon x exists when the denominator would equal zero, because division by zero is undefined. So the denominator 13-x cannot equal zero thus x cannot equal 13. Thus the domain is all real numbers except 13.

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2 years ago

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puteri [66]

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2 years ago

Read 2 more answers

Lim<br> t—>0 1-cos(2t) / sin^2 (11t)

Nitella [24]

Answer:

2/121

Step-by-step explanation:

Hello,

Hôpital's rule will help here.

$\forall t \in \mathbb{R}^*\\\\f(t)=1-cos(2t)\text{ *** f is differentiable}\\f'(t)=2sin(2t)\\f''(t)=4cost(2t)\\f''(0)=4 \\ \\g(t)=sin^2(11t)\text{ *** g is differentiable}\\g'(t)=2sin(11t)\times 11 \times cos(11t)=2\times 11 sin(11t)cos(11t)\\\\g''(t)=2\times 11 (11cos^2(11t)-11sin^2(11t))\\g''(0)=2\times 11^2$

So the limit is 4/(2*121)=2/121

Thanks

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