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

8 0

2 years ago

Scott is playing a game in which he rolls a number cube with faces numbered 1through 6 and spins the spinner shown below one tim

defon

Solution:

The total number of possiblities rolling a number cube with faces numbered 1 to 6 is;

And the total number of possibilities spining the spinner is;

The number of possibility where outcome on the cube is greater than 2 is;

$4$

And the number on the spinner less than 9 is;

$2$

Hence, the unique combination is;

$4\times2=8$

CORRECT OPTION: A

7 0

7 months ago

Solve for x: −10x+5= -6x-35

Makovka662 [10]

X= 10 I did it on my calculator so don’t worry :)

5 0

2 years ago

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ABC ~ ADE AC = 4, AE = 7, AD = 10, what is the length of AB? 1 3/7 2 1/2 5 5/7 17 1/2

Butoxors [25]

If the polygon or the figures are similar then it is known that the ratios of their corresponding sides and angles are proportional. In this item we can derive an equation that is,

AC/AE = AD/AB

Substituting the known values,

4/7 = 10/AB

AB from the equation is equal to 70/4 or equal to 17 ½.

3 0

3 years ago

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