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How do you make a model to show how to use integration to get the volume of a curve rotated around an axis?
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Applications of integral calculus?
Integration can be used to calculate the area under a curve and the volume of solids of revolution.
What is the math shape when it looks like a bow?
It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.
Is integration a way of calculating the volume of the same function equation with an additional dimension or is it always completely new volume rotated about an axis ie a circle to a sphere?
Geometrically the definite integral from a to b is the area under the curve and the double integral is the volume under the surface. So just taking the integral of a function does not yield the volume of the solid made by rotating it around an axis. An integral is only a solid of revolution if you take an infinite sum of infinitesimally small cylinders that is the disk method or you do the same with shells.
Definition of integration?
geometically , the definite integral gives the area under the curve of the integrad .
What is the purpose of the cartesian coordinate system?
The Cartesian plane allows geometric information to be converted to a coordinate system which can then be analysed using algebraic techniques. Conversely algebraic information can be converted (by plotting) to a geometric form. Theorems that have been proved in one of these two disciplines can be used to solve problems in the other. Thus finding the volume when a curve is rotated becomes a simple matter of integration. Solving simultaneous equations is reduced to finding the point of intersection (if any) of the corresponding graphs.
Applications of integral calculus?
Integration can be used to calculate the area under a curve and the volume of solids of revolution.
What is the math shape when it looks like a bow?
It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.It could be a Gaussian curve (Normal distribution) rotated through a right angle.
Is integration a way of calculating the volume of the same function equation with an additional dimension or is it always completely new volume rotated about an axis ie a circle to a sphere?
Geometrically the definite integral from a to b is the area under the curve and the double integral is the volume under the surface. So just taking the integral of a function does not yield the volume of the solid made by rotating it around an axis. An integral is only a solid of revolution if you take an infinite sum of infinitesimally small cylinders that is the disk method or you do the same with shells.
What I helps you to find the area under the curve?
If this is on mymaths.co.uk then the answer to this question is: Integration. That is how to find the area under the curve.
How do you define the perimeter of a non-simple closed curve?
By integration. Divide the curve into small pieces, then add up the length of all the pieces.
What I helps you find the area under the curve y x3 4x-3.6?
Integration.
What I helps you to find the area under the curve y x3 4x - 3.6?
"integration"
Definition of integration?
geometically , the definite integral gives the area under the curve of the integrad .
What is isocore curve?
same volume
Why can't water thermometers register at 4 celsius?
Around 4°C, the curve of volume vs. temperature is horizontal, meaning that for small changes in temperature, the volume will NOT change.
What is the purpose of the cartesian coordinate system?
The Cartesian plane allows geometric information to be converted to a coordinate system which can then be analysed using algebraic techniques. Conversely algebraic information can be converted (by plotting) to a geometric form. Theorems that have been proved in one of these two disciplines can be used to solve problems in the other. Thus finding the volume when a curve is rotated becomes a simple matter of integration. Solving simultaneous equations is reduced to finding the point of intersection (if any) of the corresponding graphs.
What i helps you to find the area under the curve yx3 4x-3.6?
if its the mymaths one type integration into the box!
