Inverse trigonometric functions

A ball, and a feather dropped at the same height will hit the ground at the same time when placed in a vacuum space. This is because acceleration of motion is the same for both object, and in this experiment, we are going to calculate accelerated motion using inclined planes. In this experiment, we will see whether “distance traveled is directly proportional to the square of the time”, and “if speed of a falling object depend only on the height from which it falls”. This experiment will give us…

This step completes the segmentation removing static objects from the grayscale images $T_i$ using Eigen-Background decomposition. First, each image $T_i \in \mathbb{R}^{n_x\times n_y} $ is reshaped into a column vector $I_i \in \mathbb{R}^{n_p\times 1}$. These $n_t$ vectors become the $i-th$ column of a video matrix $A(n_p\, , \, n_t)$, after having removed the average image: \begin{equation} A_{(n_s \times n_t)}=\begin{pmatrix} \hat{I}_1 & \hat{I}_2 & \cdots & \hat{I}_{n_t}…

Well, I’m glad to hear you’re interested in coming West. The Gold Rush is over, but there is still opportunity to mine out valuable metals and ores. I want you to take that brain of yours and help me start a business, I’ll pay you handsomely for it. I want to hire some men coming from the South to mine for me (for a fair sum), we’ll be doing some quartz mining. I’ve made enough friends to get some investors who will allow us to mine out their land too. I want you to monitor finances and the…

Duck Soup was a movie that came out on November 17, 1933. This was approximately three years into the American Great Depression, with a broken economy and unemployment rate at its highest of 25 percent. This was a time when America was at its all-time low. Duck Soup is a movie made as a direct representation of America during the Great Depression. The writers purposely made it a comedy because the audience would get the joke. In Duck Soup, Rufus T. Firefly becomes the president of the country…

• What information did you not know before? I actually did know some of these items, or at least the terms, previously but not in the sense that they were presented to us this week. I was familiar with vertices, edges, and the formal notation of a graph. I didn’t have an appreciation for how graphs could be applied to creating and managing associations with various items by applying them as vertices or edges in a way beyond their representation as numeric coordinates. • What information was…

misconceptions and the whole process has been eye-opening with regards to the number of things to consider in my own planning for these “mock” teaching scenarios.Turning to the article on functions by NCTM, I was reminded of my own mathematics learning experiences in middle and high school. I feel as if my understanding of functions (prior to college mathematics) was never fully developed. I’m not sure if we were even shown a “puddle” or “mapping” diagram in any of my secondary math classes;…

Related rates are used in a wide variety of different scenarios from finding how large a spill is increasing, to how fast it may take to empty something. Related rates deal with time, usually have two different variables like height, length, radius, or width; and have something that is changing like area, distance, or volume. In order to solve related rates problems you need to be able to recall or have access to basic geometry formulas like circle, cone, cylinder, rectangle, triangle and…

For this curriculum study, I chose third grade mathematics as my unit of study. As far as my objectives go, I would want my students to walk away from this particular section of fractions with the understanding of what a fraction is, the difference between the components of a fraction such as the numerator and denominator, knowing how to identify how many parts of a whole are shaded in, and knowing how to simplify a fraction. As far as my instructional method, I created an original prezi, which…

allowed us to construct a national income model. We used figures for 2014. UK National Income model approximations The variables we need include: • A consumption function, C = a + b(Y-T) • An import demand function, M = k + mY • Exogenous variables, representing investment, I*, exports, X*, government expenditure, G* • A tax revenue function, T = tY + T* • Equilibrium condition for Y National income in the uk In 2014 the GDP in the UK came to $2522.26 Billion. We will use this…

It is important in children’s cognitive development and with their success in school. Executive functions are used to organize and act on information. Working memory is one executive function. This skill is the ability to carry information in mind for the purpose of completing a task. Working memory is like your mental sticky note. When I was in fifth grade my classmates and I were learning how…