Optimization
Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.
Integration
Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.
Application of Integration
In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.
Volume
In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).
Area
Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.
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Dept Natural Seem
Midterm xm Mad
March 1
Spring 2021
General Physies Lah II. SPHY214LN
Don Po y
SUNO
Name:
ENate and a uit raw a hos arund exch answer
LE-A
100, diflerence
Part B: Error Analysis (30 points)
e fhe value ofeach measurement with an error estimuate and a unit
1. (10 Points) Assume the true value of the speed of sound in air at 20Cis 343 e
student makes the following measurements (in m/s) of the speed of sound it2 A
329.6, 345.2, and 359.2. Calculate the mean, standard deviation from the mean, a
error, and percentage error.
2. (20 Points) Consider the following sets of three measurement of the scceleration dem
made by four students named Destine, Oshea, Jessica, and Domma The tnd N
acceleration due to gravity is 9.80 mis'. Find the means, the sample standed de al
the standard erors a for cach student.
Destine
887
953
9.88
Oshea
835
877
830
Measurement I
lessica
Measurement 2
Measurement 2
Mean
Dne
936
9.70
972
A8
174 1.14 n
836 .017 14
Standard Deviation
9.43
Standard Error
S12
Percentage error
1395
01
0301
his/her measurements? Why?
Shum veer work andreasoning clearly on loseleat paper Each numerical answermd e](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73bbfbf6-bada-483f-8a0f-327d3672caf8%2F837a7064-1e11-495d-8efd-e78f73a30b7b%2F2crbyod_processed.jpeg&w=3840&q=75)
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