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Why do you square the radius when finding the area of a circle?
Whether you are finding the area of a circle or the area of a square or any other geometrical shape, it is always the case that to go from a linear measurement (a radius, a side, or whatever) to a surface area requires you to use a square of the linear measurement; you are increasing size in two dimensions, length and width, and therefore the effect is the increase the area exponentially, not linearly.
What is the relation quadratic equation to linear equation?
The derivative of a quadratic function is always linear (e.g. the rate of change of a quadratic increases or decreases linearly).
How can you tell if a matrix is invertible?
An easy exclusion criterion is a matrix that is not nxn. Only a square matrices are invertible (have an inverse). For the matrix to be invertible, the vectors (as columns) must be linearly independent. In other words, you have to check that for an nxn matrix given by {v1 v2 v3 ••• vn} with n vectors with n components, there are not constants (a, b, c, etc) not all zero such that av1 + bv2 + cv3 + ••• + kvn = 0 (meaning only the trivial solution of a=b=c=k=0 works).So all you're doing is making sure that the vectors of your matrix are linearly independent. The matrix is invertible if and only if the vectors are linearly independent. Making sure the only solution is the trivial case can be quite involved, and you don't want to do this for large matrices. Therefore, an alternative method is to just make sure the determinant is not 0. Remember that the vectors of a matrix "A" are linearly independent if and only if detA�0, and by the same token, a matrix "A" is invertible if and only if detA�0.
What is linear media?
Linear media is a term used to describe any media where there is a defined beginning and a linear progression to the end. Example movies, audio and video tapes and most books are organized linearly.
What are the intervals over which the function is increasing or decreasing?
It depends on the function.
What is ramp voltage?
Ramp voltage is a voltage that can be steadily increasing or decreasing.
How do you interpret how an object is moving from a distance time graph?
If the distance is not changing, the object is not moving. If the distance is increasing or decreasing linearly then the object is moving at a constant velocity. If the distance is increasing or decreasing parabolically then the object is being accelerated or decellerated.
Is every bijection a strictly monotonic function?
No. For example, consider the discontinuous bijection that increases linearly from [0,0] to [1,1], decreases linearly from (1,2) to (2,1), increases linearly from [2,2] to [3,3], decreases linearly from (3,4) to (4,3), etc.
Is linearly a word?
Yes.
How does velocity affect momentum?
if velocity increases, so does momentum. and vice versa momentum = mass x velocity increasing mass or velocity or both will increase momentum
What is the difference between step graded and linearly graded semiconductor p-n junction?
In step-graded the acceptor and donor concentrations in the semiconductor are constants up to the junction.In a linearly-graded junction, impurity concentration varies linearly with distance from the junction
How do you graph break even problems?
its linearly
Does increasing the mass or velocity have the most affect on an object's kinetic energy?
Increasing an object's velocity has a greater effect on its kinetic energy than increasing its mass. This is because kinetic energy is directly proportional to the square of the object's velocity, while it is linearly proportional to the object's mass.
What is a linearly growing population?
yes , i dont know ....
How are amino acids situated in protein?
Linearly, as in a string of Pearls.
What is inner crust depth?
It varies linearly with the mass of cheese
How is increasing the amount of light will affect one output of this model?
Increasing the amount of light will likely lead to an increase in the output variable being modeled, as more light typically results in greater productivity or growth. However, there may be a point of diminishing returns where further increases in light do not continue to linearly increase the output. It is important to consider the specific characteristics of the model and the system being analyzed to understand the full impact of increasing light on the output.
