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3 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.

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A past survey of students taking a standardized test revealed that % of the students were planning on studying engineering in c

Angelina_Jolie [31]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is $-0.00870$

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 1068000$

The first proportion $\r p_1 = 0.084$

The second sample size is $n_2 = 1476000$

The second proportion is $\r p_2 = 0.092$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = (100 - 95)\%$

$\alpha = 0.05$

From the normal distribution table we obtain the critical value of $\frac{ \alpha }{2}$ the value is

$Z_{\frac{\alpha }{2} } =z_c= 1.96$

Now using the formula from the question to construct the 95% confidence interval we have

$(\r p_1 - \r p_2 )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }$

Here $\r q_1 = 1 - \r p_1$

=> $\r q_1 = 1 - 0.084$

=> $\r q = 0.916$

and

$\r q_2 = 1 - \r p_2$

=> $\r q_2 = 1 - 0.092$

=> $\r q_2 = 0.908$

$(0.084 - 0.092 )- (1.96)* \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }$

$-0.00870$

3 0

3 years ago

Evan and Vanessa grow vegetables in their

Alex73 [517]

Answer:

Step-by-step explanation:

Let's say the number of rows in Vanessa's garden is x

Then x/2 + 6 = 8

so x/2 = 8 - 6 = 2

so x = 4

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3 years ago

Given that f (x ) = 5 x - 10 and g (x ) = x = 3 , solve for f (g(x)) when x = -1

svetlana [45]

Answer:

f(g(x))(-1) = 0

Step-by-step explanation:

Step 1: Find f(g(x))

5(x + 3) - 10

5x + 15 - 10

5x + 5

Step 2: Plug in -1

5(-1) + 5

-5 + 5

7 0

3 years ago

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Tatiana [17]

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Answer:

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Step-by-step explanation:

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2 years ago

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