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trapecia [35]
4 years ago
11

Find the derivative of the function. y = tan2(8θ)

Mathematics
1 answer:
Tpy6a [65]4 years ago
6 0

Answer:

16tan(8θ)sec²(8θ)

Step-by-step explanation:

Given the question :

Find the derivative of the function. y = tan2(8θ)

y = tan²(8θ)

USing chain rule :

dy/dx = (du/dx) × (dv/du) × (dy/dv)

Let u = 8θ ; du/dθ = 8

v = tan u ; dv/du = sec²u

y = v² ; dy/dv = 2v

Hence,

(dy/dθ) × dv/du × dy/dv

8 * sec²u * 2v

Where v = tan u ; u = 8θ

8 * sec²8θ * 2tan8θ

16tan(8θ)sec²(8θ)

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Find the greatest common factor for this number pair. 30, 8
atroni [7]

Answer:

Step-by-step explanation:

To factor a number means to break it up into numbers that can be multiplied together to get the original number:

Therefore, factors of 30 and 8

30: 2×3×5

8: 2×2×2

Then, the common factor is 2

Only 2 can be divided both 8 and 30.

If you need to know all the factor of 30 and 8

30: 1,2,3,5,6,15, and 30

8: 1,2,4 and 8

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4 years ago
When the components arrive, the company selects a random sample from the shipment and subjects the selected components to a rigo
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Answer:

(0.059, 0.133)

Step-by-step explanation:

Sample size = n = 250

Number of units which failed the test = x = 24

Proportion of units which failed the test = \frac{x}{n} = \frac{24}{250} =\frac{12}{125} = 0.096

Proportion of units which did not fail the test = q = 1 - p = 1 - 0.096 = 0.904

Confidence level = 95%

z-value for the confidence level = z = 1.96

The true proportion of the components that fail to meet the specification would be:

(p-z\sqrt{\frac{p \times q}{n}} , p+z\sqrt{\frac{p \times q}{n}})

Using the values, we get:

(0.096-1.96 \times \sqrt{\frac{0.096 \times 0.904}{250}} , 0.096+1.96 \times \sqrt{\frac{0.096 \times 0.904}{250}})\\\\ =(0.059,0.133)

Thus, 95% confidence interval estimate for the true proportion of components, p, that fail to meet the specifications is (0.059, 0.133)

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3 years ago
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Answer:

The First one

Step-by-step explanation:

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2 years ago
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Step-by-step explanation:

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Population Regression Function is the conditional expectation of Yi, based on given Xi.

E (Yi / Xi ) = \beta 0 + \beta 1 Xi ; where Y's value is based on given X values

Sample Regression Function is estimated relationship between Y & X, based on sample study.

y = b0 + b1x1 ; where y is a estimate of Y, b0 & b1 estimates of \beta 0 ,  \beta 1 .

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