Selecting this function: F(x)= x^4-x^2+3
Graph using these selected points:
Rises to the left and rises to the right
x y
-1 3
0 3
1 3
2 15
3 75
After assigning values for x and y, plot the graph:
See attached picture for the graph.
We can now conclude that for the given graph, the equation of F(x) is equal to x^4-x^2+3 which is letter
D. F(x)= x^4-x^2+3
Answer:
a) 
b) 
c) the points of the form (x, -x) for x≠0
Step-by-step explanation:
a)
If φ(x, y) = arctan (y/x), the vector field F = ∇φ would be
On one hand we have,
On the other hand,
So
b)
The domain of definition of F is
i.e., all the plane X-Y except the (0,0)
c)
Here we want to find all the points such that
where k is a real number other than 0.
But this means
So, all the points in the line y = -x except (0,0) are parallel to the vector field F, that is, the points (x, -x) with x≠ 0
That they are the exact same shape. Some of the sides will be longer and shorter than the other figure, but same shape.
Answer: 804 meters
Step-by-step explanation:
Area of a circle = πr²
Radius = 16m
π(16)² = 804.2477193 meters
Answer:
2) -3x+10
4) -4x+10+x
Step-by-step explanation:
Use the distributive property to get rid of the parentheses.
(2 × -2x) + (2 × 5) + x
-4x + 10 +x is correct, but the x's can be combined.
(-4x + x) + 10 = -3x + 10