The volume of the region R bounded by the x-axis is: 
<h3>What is the volume of the solid revolution on the X-axis?</h3>
The volume of a solid is the degree of space occupied by a solid object. If the axis of revolution is the planar region's border and the cross-sections are parallel to the line of revolution, we may use the polar coordinate approach to calculate the volume of the solid.
In the graph, the given straight line passes through two points (0,0) and (2,8).
Therefore, the equation of the straight line becomes:
where:
- (x₁, y₁) and (x₂, y₂) are two points on the straight line
Thus, from the graph let assign (x₁, y₁) = (0, 0) and (x₂, y₂) = (2, 8), we have:
y = 4x
Now, our region bounded by the three lines are:
Similarly, the change in polar coordinates is:
where;
- x² + y² = r² and dA = rdrdθ
Now
- rsinθ = 0 i.e. r = 0 or θ = 0
- rcosθ = 2 i.e. r = 2/cosθ
- rsinθ = 4(rcosθ) ⇒ tan θ = 4; θ = tan⁻¹ (4)
- ⇒ r = 0 to r = 2/cosθ
- θ = 0 to θ = tan⁻¹ (4)
Then:
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Answer:
<u>Two</u>
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Step-by-step explanation:
The solution for any system of equations is the intersection points between the graph that representing the system of equation.
So, for the given system of equation, we have a circle and a parabola.
As shown in the figure, The circle and parabola are intersects at two points
So, there are two solutions for the system of equations on the graph.
So, The answer is option two.
Answer:
There are 27 different possible outcomes.
Step-by-step explanation:
Assuming that you have 3 different stocks:
First, we need to find the number of events and the number of possible outcomes for each event.
Here we can assume that each one of the stocks is a event, and the number of possible outcomes for each one are:
Stock 1: 3 options (up, down, stay)
Stock 2: 3 options (up, down, stay)
Stock 3: 3 options (up, down, stay)
The total number of possible outcomes is equal to the product of the numbers of options for all the events.
Then the total number of possibilities is:
C = 3*3*3 = 27
Are you trying to find x, or are you only suppose to translate it?
If you are trying to find x, you first multiply 2x on both sides
100 = 10(2x)
Divide 10 on both sides
10 = 2x
Divide 2 on both sides
5 = x
Answer:
m=
Step-by-step explanation:
