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vazorg [7]
3 years ago
15

Find the derivative of f(x) = 11x2 + 5x at x = 9.

Mathematics
2 answers:
AlekseyPX3 years ago
6 0

Answer: 203

Step-by-step explanation:

The given function : f(x) = 11x^2 + 5x

Now, we differentiate the given function with respect to x on the both sides , we get

 f'(x) = (2)11x + 5    [Since (x^n)'=nx^{n-1} ]

\Rightarrow\ f'(x)=22x+5

Substitute x = 9 , we get

\Rightarrow\  f'(9)=22(9)+5\\\\\Rightarrow\ f'(9)=198+5\\\\\Rightarrow\ f'(9)=203

Hence, the derivative of the given function at x= 9 is 203.

Yakvenalex [24]3 years ago
3 0
F(x) = 11x² + 5x 

f'(x) = 22x + 5

Hence,

f'(9) = (22 * 9) + 5 = 198 + 5 = 203
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The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voter
Nadusha1986 [10]

Answer:

p-value of the statistics = 0.0096

Step-by-step explanation:

Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.

To find - Determine the P-value of the test statistic.

Proof -

Given that,

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Now,

Test Statistics is

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So,

p-value = P(Z > z)

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             = 0.0096

⇒p-value = 0.0096

7 0
3 years ago
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