Differential Calculus Essay

Rate means the speed in which a child develops (rate of development is the speed at which development happens).

* Given linear and exponential data, interpret the rate of change within the given context.

Finally we got all our number and determine the slope, and the intercept in order to find out the forecast for the next

In Unit 1, many topics and concepts about motion were covered. We started out with the basic ideas of motion into much harder ideas. Before that though, we learned how to read graphs to determine their mathematical expression and the keywords needed to understand motion. Such words includes position, velocity, acceleration, displacement, speed, instantaneous velocity, etc. Building off of that idea, we went on learning how to draw and describe acceleration arrows, motion maps, x, and v, and graphs based on the given scenario. Furthermore, we also learned how to calculate position and slope. We know that to calculate the position, the equation is position= (velocity) (time) + initial position and that the slope is the change in position over

All i did for this one was basically calculate the slopes because I didn't want to over think the question. Based off the figures let's calculate the following slopes...

Using a measuring tape on the wall each member of the lab group separately stood with either side against the tape and extended the arm beside the wall as high as possible. This height was recorded in centimeters. Next each lab member separately applied chalk to their fingertips, crouched down beside the tape on the wall, and jumped as high as they could while hitting the measuring tape at their highest point. This measurement was again recorded in centimeters. Then the height the lab member’s arm extended while standing was subtracted from the height when they jumped. This number denoted the vertical height jumped. For the jump height measurements a scatter plot was constructed. In order to do this, the data was again entered into excel, highlighted, insert chart and the first scatter plot choice was chosen. It was then that it was necessary to edit our axes and other parts of the graph. The x-axis was right-clicked and format axis was selected and fixed was selected and 20.0 was entered into the blank. Following this, a trend line was added to the graph by right clicking on a data point. A drop down popped up, and from there add trend line was selected from the choices.

10. The current price of silver is $750. Storage costs are $8 per ounce per quarter payable in advance. The interest rate is 12% p.a. with continuous compounding. Calculate the futures price of silver for delivery in six months (to two decimal places).

Velocity is the rate at which the position of an object is changing. Acceleration is the rate at

The history of calculus falls into several distinct time periods, most notably the ancient, medieval, and modern periods. The ancient period introduced some of the ideas of integral calculus, but does not seem to have developed these ideas in a rigorous or systematic way. Calculating volumes and areas, the basic function of integral calculus, can be traced back to the Egyptian Moscow papyrus (c. 1800 BC), in which an Egyptian successfully calculated the volume of a pyramidal frustum.[1][2] From the school of Greek mathematics, Eudoxus (c. 408−355 BC) used the method of exhaustion, which prefigures the concept of the limit, to calculate areas and volumes while Archimedes (c. 287−212 BC) developed this idea

     Born August 13, 1883 in Gibbon, Nebraska, Edwin H. Sutherland grew up and studied in Ottawa, Kansas, and Grand Island, Nebraska. After receiving his B.A degree from Grand Island College in 1904, he taught Latin, Greek, History, and shorthand for two years at Sioux Falls College in South Dakota. In 1906 he left Sioux Falls College and entered graduate school at the University of Chicago from which he received his doctorate. (Gaylord, 1988:7-12) While attending the University of Chicago he changed his major from history to sociology. Much of his study was influenced by the Chicago approach to the study of crime that emphasized human behavior as determined by social and

The line of best-fit is used to find the gradient, the T2/L value, if straight or linear it shows that the relationship between the two is directly proportional. Using the original equation, you can square both sides and rearrange it to make . Then you can input the gradient value (T2/L) and work out g. , where g equals 10.13 m/s2. This value is close to the

Mathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the science of relations, or as the science that draws necessary conclusions. This latter view encompasses mathematical or symbolic logic, the science of using symbols to provide an exact theory of logical deduction and inference based on

The trendline, known as the line of best fit or the least squares regression line, shows the linear equation which best explains the sums up the data’s trend. The formula on the right is the formula of the line of best fit.

In other words, variable cost per unit is equal to the slope of the cost volume line (i.e. change in total cost ÷ change in number of units produced).

The ratio between the gradients for run 1 and run 2 is 1:2 as 0.4/0.263 is approximately half, whereas the gradient for runs 2 and 3 is 3:2 as 0.563/0.4 is approximately 1.5.