$f(x)=cos(x)x^{-2}\implies f(x)=\cfrac{cos(x)}{x^2}\implies \cfrac{df}{dx}=\stackrel{\textit{quotient rule}}{\cfrac{-sin(x)\cdot x^2-cos(x)\cdot 2x}{(x^2)^2}} \\\\\\ \cfrac{df}{dx}=\cfrac{-x[x\cdot sin(x)+2cos(x)]}{x^4}\implies \cfrac{df}{dx}=\cfrac{-[xsin(x)+2cos(x)]}{x^3}$

8 0

2 years ago

If m angle BGF=152 degrees, what is m angle AGF

Allushta [10]

The Answer is: 64 degrees

4 0

3 years ago

Read 2 more answers

Suppose the average commute time of your employees is unknown. The standard deviation of their commute time is estimated as 22.8

nexus9112 [7]

Answer:

96 employees

Step-by-step explanation:

Given that the standard deviation = 22.8

The width in the question = 12

We solve for the margin of error E.

E = width / 2

= 12/2 = 6

At 99%

Alpha = 1-0.99

= 0.01

Alpha/2 = 0.01/2 = 0.005

Z0.005 = 2.576

Sample size n

= ((2.576x22.8)/2)²

= 95.8

= 96

The number of employees is 96

Thank you!

6 0

3 years ago

12.02 and 12.20. Which comparison is correct? A. 12.02 = 12.20 B. 12.02 < 12.20 C. 12.02 > 12.20

Karolina [17]

B. 12.02 < 12.20.........................................

4 0

3 years ago