3, 6, 12,<u> 24 ,</u> <u>48 </u> <=== answer
The point of inflection is calculated by equating the second derivative to zero and determining x from there.
f"(x) = -x²2xsinx² + cosx²(2x) = 0
2xcosx² - 2x³sinx² = 0
2x (cosx² - xsinx²) = 0
2x = 0 ⇒ x = 0
cosx² - xsinx² = 0 ⇒ x = 3.82 (if you use shift+solve in your scientific calculator)
Thus, the function only has 1 point of inflection and it is at x = 0.
Answer:
The tree diagram is shown below.
Step-by-step explanation:
The color of the four skittles Junior had in his bag are:
S = {red (R), blue (B), green (G) and yellow (Y)}
It is provided that Junior takes a skittle out and eats it and then takes another skittle from the bag.
So, Junior has four options for the first draw, i.e. {R, B, G and Y}.
Then three options for the second draw. But the second draw is dependent on the first draw.
- If Junior ate the red skittle first, then the second skittle could be any of the three, (B, G and Y).
- If Junior ate the blue skittle first, then the second skittle could be any of the three, (R, G and Y).
- If Junior ate the green skittle first, then the second skittle could be any of the three, (R, B and Y).
- If Junior ate the yellow skittle first, then the second skittle could be any of the three, (R, B and G).
Consider the tree diagram below to better understand the information above.
Answer:the equation is 200 + 10x
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal or initial amount deposited into the account.
R represents interest rate on the principal
T represents time in years
I = interest after t years
From the information given
T = x years
P = $200
R = 5%
Therefore
I = (200 × 5 × x)/100
I = 1000x/100
I = 10x
Therefore, the equation representing the total amount of money that would be in the account after x years would be
200 + 10x