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GaryK [48]
3 years ago
5

Derivative of cos(4x)

Mathematics
1 answer:
son4ous [18]3 years ago
7 0
D/dx ( cos (4x)) = - sin (4x) · d/dx ( 4x) = - 4 sin (4x) 
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I need help with this​
Vladimir [108]

Answer:

1 1/2

Step-by-step explanation:

there are 12 eggs in a dozen.

18/12 = 1 6/12 = 1 1/2

6 0
3 years ago
Read 2 more answers
Use the definition of continuity and the properties of limit to show that the function f(x)=x sqrtx/ (x-6)^2 is continuous at x=
jasenka [17]

Answer:

The function \\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}} is continuous at x = 36.

Step-by-step explanation:

We need to follow the following steps:

The function is:

\\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}

The function is continuous at point x=36 if:

  1. The function \\ f(x) exists at x=36.
  2. The limit on both sides of 36 exists.
  3. The value of the function at x=36 is the same as the value of the limit of the function at x = 36.

Therefore:

The value of the function at x = 36 is:

\\ f(36) = \frac{36*\sqrt{36}}{(36-6)^{2}}

\\ f(36) = \frac{36*6}{900} = \frac{6}{25}

The limit of the \\ f(x) is the same at both sides of x=36, that is, the evaluation of the limit for values coming below x = 36, or 33, 34, 35.5, 35.9, 35.99999 is the same that the limit for values coming above x = 36, or 38, 37, 36.5, 36.1, 36.01, 36.001, 36.0001, etc.

For this case:

\\ lim_{x \to 36} f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}}

\\ \lim_{x \to 36} f(x) = \frac{6}{25}

Since

\\ f(36) = \frac{6}{25}

And

\\ \lim_{x \to 36} f(x) = \frac{6}{25}

Then, the function \\ f(x) = \frac{x*\sqrt{x}}{(x-6)^{2}} is continuous at x = 36.

8 0
3 years ago
Solve this equation
Novosadov [1.4K]
B. 9^2

explanation: 3^4 is equivalent to 3*3*3*3, which is 81
9^2 (9*9) also equals 81
8 0
1 year ago
3.7 as a mixed fraction<br>let x =<br>10x =<br>9x =<br>x =<br><br>So 3.7 repeating is equal to...​
NNADVOKAT [17]

Answer:

<h2>37/9</h2>

Step-by-step explanation:

<h3>we have</h3>

<h3>3.77777... :- is a repeating decimal</h3>

<h3>Let</h3>

<h3>x = 3.7...</h3>

<h3>so</h3>

<h3>10x =37.7...</h3>

<h3>10x - x = 37.7... -3.7...</h3>

<h3>9x=34</h3>

<h3>x= 34/9</h3>

<h3>convert to mixed number</h3>

<h3>34/9=(27/9)+(7/9)=3+(7/9) =37/9</h3>

<h3> I hope this may help you.</h3>
7 0
3 years ago
Ally works in a shop for $18 per hour dependent
meriva
Independent is hour
Dependent is her rate ($18) because it DEPENDS on how long she works
3 0
3 years ago
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