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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50mph
Step-by-step explanation:
The image of the motion of Paul's derive is attached already.
From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.
What is average speed?
Average speed is the rate of change of total distance covered with time taken .
Average speed = 
To find the total distance covered;
Distance at time 1 = 75miles
Distance at time 4 = 225miles
Distance covered between 1 - 4 = 225 - 75 = 150miles
Time taken for the journey = 4 - 1 = 3hrs
Input the values in the equation;
Average speed = 
= 50mph
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Answer:
Algebra I believe
Step-by-step explanation:
Answer:
The answers to the questions are;
B. increases.
C. inelastic; increase.
Step-by-step explanation:
The price elasticity of demand for a linear demand in absolute value curve becomes smaller and smaller as we move downwards of the curve.
When the price elasticity of demand is calculated along a linear demand curve. This is so as for each pair of points at which the price elasticity of demand is calculated, the quantity demanded and the price change are somewhat similar, but as we move towards the top of the demand curve, the high prices and the low quantities shows the increase in demand elasticity.
Also in the inelastic region, as it can be shown by the areas of the rectangles formed by to adjacent price points, increase in price, increases the total revenue.
Answer:
you do you like to school
so I can see what
