To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
</span>
The answer is a vertical line on the negative -2 (x-axis).
Answer:
15 hours
Step-by-step explanation:
To find the gallons per hour: 230/5=46, this means that it take 46 gallons per hour, you add 46 to 230, and you do that 15 times and you'll get 920. The pool will be filled at 11:00 pm.
Answer:
See below
Step-by-step explanation:
<u>The sequence given</u>
<u>We see the pattern: triple the previous term plus 1</u>
- 2) 19 = 6*3 + 1
- 3) 58 = 19*3 + 1
- 4) 175 = 58*3 + 1
<u>Next two terms</u>
- 5) 175*3 + 1 = 526
- 6) 526*3 + 1 = 1579
<u>Following two terms</u>
- 7) 1579*3 + 1 = 4738
- 8) 4738*3 + 1 = 14215
Answer:
B. 2x2y(x – 3y)(x + 3y)
Step-by-step explanation:
