Answer:
f(x) is concave up whenever:
B. 3x²−10 is positive
f(x) is concave down whenever:
A. 3x²−10 is negative
The points of inflection of f(x) are the same as:
B. the zeros of 3x²−10
Step-by-step explanation:
Given the function f(x) = 1 / (x²+10)
We can determine the concavity by finding the second derivative.
If
f"(x) > 0 ⇒ f(x) is concave up
If
f"(x) < 0 ⇒ f(x) is concave down
Then
f'(x) = (1 / (x²+10))' = -2x / (x²+10)²
⇒ f"(x) = -2*(10-3x²) / (x²+10)³
if f"(x) = 0 ⇒ -2*(10-3x²) = 0 ⇒ 3x²-10 = 0
f(x) is concave up whenever 3x²−10 > 0
f(x) is concave down whenever 3x²−10 < 0
The points of inflection of f(x) are the same as the zeros of 3x²-10
it means that 3x²-10 = 0
Answer:
1/8 i think
Step-by-step explanation:
Answer:
the answer would be 2
Step-by-step explanation:
you'll get the answer by dividing
Answer:
he scale of a room in a blueprint is 3 in: 5 ft. A wall in the same blueprint is 18 in. ... 15. 20. 25. 30 à. How long is the actual wall? The wall is 30 feet lona. 1.5 in. b. A window in ... Redraw the rectangle on centimeter grid paper using a scale of 1 cmcom. I. leme ... measurements of the object of the drawing can you find?
Step-by-step explanation: