4 years ago

Which of the following represents dy/dx when y = e-2x sec (3x)?

1 answer:

6 0

Using the product rule, which states that (uv)' = u'v + uv':
If y = (e^-2x)(sec3x)
y' = (e^-2x)'(sec3x) + (e^-2x)(sec3x)'
y' = -2(e^-2x)(sec3x) + (e^-2x)(3 sec3x tan3x)
y' = 3(e^-2x)(sec3x tan3x) -2e^-2x (sec3x)

This matches choice B.

You might be interested in

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 58.

Yanka [14]

Answer: 0.025

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between the interval [48.0 minutes, 58.0 minutes].

The probability density function :-

$f(x)=\dfrac{1}{58-48}=\dfrac{1}{10}$

Now, the probability that a given class period runs between 50.25 and 50.5 minutes is given by :-

$\int^{50.5}_{50.25}\ f(x)\ dx\\\\=\int^{50.5}_{50.25}\ \dfrac{1}{10}\ dx\\\\=\dfrac{1}{10}|x|^{50.5}_{50.25}\\\\=\dfrac{1}{10}\ [50.5-50.25]=\dfrac{1}{10}\times(0.25)=0.025$

Hence, the probability that a given class period runs between 50.25 and 50.5 minutes =0.025

Similarly , the probability of selecting a class that runs between 50.25 and 50.5 minutes = 0.025

5 0

3 years ago

Please help I can’t figure this question out

densk [106]

I think the answer would be 7/50

8 0

3 years ago

Read 2 more answers

As an apprentice to a chef you are preparing a recipe that says to bake the dish for 3/4 of a hour how many minutes should you b

Shalnov [3]

Answer:
You should bake the dish for 45 minutes.

Explanation:
So you have 60 minutes in an hour and if you divide that in 4 you get 15. And for the last step you add 15 three times or just multiply 15*3 and get 45.
Hope this helps :D

8 0

3 years ago

Um help. I have no clue what to do

Arlecino [84]

I’m not sure but I think it’s sample x

5 0

3 years ago

Pablo wrote tour division equations with 6 the quotient what could have been the four division equations that he wrote?

omeli [17]

6 ÷ 1

12 ÷ 2

18 ÷ 3

24 ÷ 4

864 ÷ 144

79.86 ÷ 13.31

6 0

4 years ago