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4 years ago

What do the asymptotes mean with the tangent function?

Mathematics

2 answers:

Agata [3.3K]4 years ago

6 0

i think the answer is A

sp2606 [1]4 years ago

5 0

Answer: It's because those points are where the cosine function is equal to 0. As such, the domain of the tangent function includes all real numbers except the numbers that occur at these asymptotes. The asymptotes of the tangent function. The preceding figure shows what the asymptotes look like when graphed alone. So A

Step-by-step explanation:

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Please help me with the below question.

Snezhnost [94]

6a. By the convolution theorem,

$L\{t^3\star e^{5t}\} = L\{t^3\} \times L\{e^{5t}\} = \dfrac6{s^4} \times \dfrac1{s-5} = \boxed{\dfrac5{s^4(s-5)}}$

6b. Similarly,

$L\{e^{3t}\star \cos(t)\} = L\{e^{3t}\} \times L\{\cos(t)\} = \dfrac1{s-3} \times \dfrac s{1+s^2} = \boxed{\dfrac s{(s-3)(s^2+1)}}$

7. Take the Laplace transform of both sides, noting that the integral is the convolution of $e^t$ and $f(t)$ .

$\displaystyle f(t) = 3 - 4 \int_0^t e^\tau f(t - \tau) \, d\tau$

$\implies \displaystyle F(s) = \dfrac3s - 4 F(s) G(s)$

where $g(t) = e^t$ . Then $G(s) = \frac1{s-1}$ , and

$F(s) = \dfrac3s - \dfrac4{s-1} F(s) \implies F(s) = \dfrac{\frac3s}{\frac{s+3}{s-1}} = 3\dfrac{s-1}{s(s+3)}$

We have the partial fraction decomposition,

$\dfrac{s-1}{s(s+3)} = \dfrac13 \left(-\dfrac1s + \dfrac4{s+3}\right)$

Then we can easily compute the inverse transform to solve for f(t) :

$F(s) = -\dfrac1s + \dfrac4{s+3}$

$\implies \boxed{f(t) = -1 + 4e^{-3t}}$

6 0

2 years ago

Question 16

Nadya [2.5K]

Answer:

8milliliters for 40 pounds

Step-by-step explanation:

7/35=0.2

0.2*40=8

8 0

3 years ago

Ralph is sewing panels of fabric together to make a drape for the set of theatre production .The lengths of panels are 1.9 meter

Scrat [10]

To determine the length of the drape that should be constructed first, we just sum up or add all the given lengths of the fabric. That is,
length of drape = 1.9 m + 2.9 m + 3.4 m
The answer to this item is equal 8.2.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=lg%20%5Cfrac%7B1%7D%7B256%7D%20%20-%20lg%20%5Cfrac%7B125%7D%7B4%7D%20%20-%203%20lg%20%5Cfrac%7

salantis [7]

Answer:

Step-by-step explanation:

log 1/256 - log 125/4

= log ( 1/256 * 4/125)

= log (1/8000)

log (1/8000) - 3 log 1/20)

Now 3 log 1/20 = log (1/20)^3 = log (1 / 8000) so we get

log (1 / 8000) - log (1 / 8000)

= 0

7 0

3 years ago

PLEASE HELP! THIS IS DUE IN 1 MINUTE

nikitadnepr [17]

Answer:

5,4

Step-by-step explanation:

hope this helps ^-^

3 0

4 years ago