Answer:
- Point of Inflection: Does not Exist
- f(x) is concave up when x∈(-∞,-6)
- f(x) is concave down when x∈(-6, ∞)
Step-by-Step Explanation
We are to determine the intervals on which the function is concave up or down and find the points of inflection.
A function f(x) is concave up in the intervals for which the second derivative of the function .
A function f(x) is concave down in the intervals for which the second derivative of the function .
Given
We need to solve for the second derivative of the function.
The first derivative:
Using Quotient Rule:
.
.
The Second derivative:
Similarly applying quotient rule:
Now is 490, thus does not have a solution,
However, we determine the point where is undefined. This point is x=-6.
In the Interval, (-∞,-6), f(x) is concave Up and in the Interval (-6, ∞), f(x) is concave down. It has no Inflection point.
Answer:
D(-1,0)
Step-by-step explanation:
Plot points A(-3, 2), B(-1, 4), and C(1, 2) on the coordinate plane (see attached diagram).
Two sides AB and BC are of equal length and are perpendicular, because
If the quadrilateral ABCD has all sides perpendicular, then ABCD is a square. The diagonals of the square bisects each other. Find the coordinates of the point of intersection of these diagonals. This is the midpoint of segment AC:
If point O(-1,2) is the point of intersection of diagonals, then it is the midpoint of the diagonal BD. Find coordinates of point D:
Thus, D(-1,0)
Answer:
x=-5/3
Step-by-step explanation:
ABD + DBC = ABC
Substitute the values
6x+9 + x+1 = 10x+15
Combine like terms
7x+10 = 10x+15
Subtract 7x from each side
7x-7x+10 = 10x-7x+15
10 = 3x+15
Subtract 15 from each side
10-15 = 3x+15-15
-5 =3x
Divide each side by 3
-5/3 =x
This will give us a negative value for DBC
DBC = -5/3 +3/3 = -2/3
We cannot have a negative value for an angle
Check the values given.
It’s 20
it’s ok we all forget lol
Answer: 60 in
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the diameter of one flotation device:
Circumference of a circle C = (3.14) (diameter)
Replacing with the values given:
62.8 =3.14 d
Solving for d (diameter)
62.8 /3.14 =d
20in = d
Now, since the three flotation devices are identical, we simply have to multiply the diameter of one device by 3 , to obtain length of the flotation devices lined up.
20x3 =60 in
Feel free to ask for more if needed or if you did not understand something.