For simplicity, dy/dx means f'(x);
We have y = ( 8 - x^2 ) / 2x;
Then, y = 4/x - x/2;
So, f'(x) = (4/x - x/2)' = (4/x)' - (x/2)' = -4/(x^2) -1/2 because we use <span> d<span>ifferentiation formulas, such as : (f+g)' = f' + g'; (cf)' = cf'; x'=1; (1/x)' = -1/(x^2);
</span></span>Finally, f'(4) = -4/16 -1/2 = -4/16 - 8/16 = -12/16 = -3/4.
The correct answer is E.
Answer: 0
Yurrrrrrr
Step-by-step explanation:
Answer:
5x=1
Step-by-step explanation:
51
Let the length be x, the width will be (95-x)
the total cost for the lengths will be:
36×x×2=$72x
Total for width will be:
2*6*(95-x)=1140-12x
total amount will be:
72x+1140-12x=4260
solving for x we get:
60x=4260-1140
60x=3120
x=52 ft
thus length=52ft
width=95-52=43 ft
You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probabilit
Sav [38]
There are total 12 letters. 3 from them are the letter A.
The probability that the drawn letter is A can be calculated:
P(A)=number of events "letter A occurs"/ number of possible events that may occur
P(A)=3/12
a. as a fraction: 3/12=1/4
b. as a decimal: 0.25
c. as a percent: 25%