Answer:
<u>Rule for rotation 180° about the origin:</u>
<u>Given coordinates:</u>
- U(1, 0), V(4, -1), T(1, -3)
<u>Coordinates of the image, apply the rule above:</u>
- U'(-1, 0), V'(-4, 1), T'(-1, 3)
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:
It would be E.
Step-by-step explanation:
30,030 can be divided into 10010 and 3. 10010 can be divided into 10 and 1001. 10 can be divided into 2 and 5, while 1001 can be divided into 13 and 77. 77 can divided into 7 and 11. This leads the prime factorization to be E, as it is 2, 3, 5, 7, 11 and 13.
Can you please take another picture that is closer to the diagram, it's quite blurry.
Answer:
132 m
Step-by-step explanation:
distance= speed*time
d=0.4*330
=132
