Calculus

x = (1, 1, 1, 1), y = (2, 2, 2, 2) cosine, correlation, Euclidean COSINE cos (x, y)= (x.y)/(||x|| ||y||) x.y = 1*2 + 1*2 + 1*2 + 1*2 = 8 ||x||= √(1*1 + 1*1 + 1*1 + 1*1) = √4 = 2 ||y||= √(2*2 + 2*2 + 2*2 + 2*2) = √16 = 4 Hence, cos (x,y) = 8/(2*4)  1 CORRELATION corr(x, y) = (covariance(x,y))/([standard deviation(x) * standard deviation(y)]) Mean of x = (1+1+1+1)/4 = 1 ; Mean of y = (2+2+2+2)/4 = 2 covariance(x,y) = 1/(4-1) * [(1-1)(2-2) + (1-1)(2-2) + (1-1)(2-2) + (1-1)(2-2)]

Hey Theodore, I am glad that my help has landed you an internship. I can see where you would be stuck on figuring out how to start the problem. Let’s take it one piece at a time. The first part I would like to focus on is the lim┬(r→R^- )⁡v where v=-c(r/R)^2*ln⁡(r/R). This may look a little daunting at first, but if you assign R and c a random number then you can get a simpler problem to solve first. I assigned R the value of 5 and c the value of 2 since R and c are constants for the function that

As the name suggests, cylindrical coordinates are 3-dimensional and involve polar coordinates. It combines the 3-dimensional Cartesian coordinate system (x, y, z) with the polar coordinate system (r, θ). The “r” stands for radius while the “θ” stands for theta (the angle usually represented in radians). The x and y are replaced with the polar coordinate system while z stays the same.The coordinates are shown in this manner: (r, θ, z). Graphing cylindrical coordinates is easy as long as you know

The time that i failed was when I was in these two classes that were so hard for me, which his science and math. Not matter how much I try I can never get anything in those classes. The reason that I didn't get a good grade in science his because I knew that my teacher did not like me. The final that the gave us was so hard as well. The didn't do at right an many people failed that class. The reason I failed math second semester is because of things i was going through. I lost people and it was a

CASE STUDIES 1. BLADDER CALCULUS Bladder Calculus is also known as Bladder stone which are generally or basically formed when minerals such as calcium salts and other such as cholesterol and bile pigments inside the bladder lump together and harden. Diet: 1. The diet should be high in fiber such as the diet must include whole grains, fruits and vegetables, etc. 2. The diet should be low in fat and should contain a variety of nutrients rich foods. 3. The diet should have plenty of vegetables

Integrated Cirriculum Research Paper Integrated curriculums are constantly becoming more popular with educators each and every day. It seems that with this increased enthusiasm there should also be an increased activity of integration taking place within the classroom. This, however, does not seem to be the case. Math and Science integration has been widely talked about and supported by educators young and old, but critics state that there is little evidence to show the effectiveness of integration

Introduction: Pi has been used for the past 250 years. The first zero in pi comes after the first 31 digits. Archimides was the first person to study pi in the ancient times. Objective: The objective for this lab was to determine an experimental value for pi by measuring sixteen different round objects, and calculate the percent error between the experimental value and the accepted value. Hypothesis: If the circumference and diameter are measured on a round object then the relationship of the graph

1) After seeing your final exam, were you surprised with the results? Why or why not? I was somewhat surprised with my final exam result. I was not expecting a high score because I rarely do well on math exams even though I study extensively. Thus thought I was disappointed I was not surprised. 2) How did you prepare for the final exam? Please provide a detailed explanation of your study method(s). To prepare for the final exam I did the following steps; I started a week in advance and for every

The shape of the basis parabola y=x2 changes for different forms of the parabolic function causing it to translate, reflect or dilate. Dilation (widening or narrowing) of the parabola occurs when the basis parabola y=x2 is multiplied or divided (m) therefore changing the equation to either y=mx2 or y=x^2/m. For instance, if the parabola is multiplied by two the parabola becomes narrower whereas if the parabola is divided by two the parabola becomes wider. This is evident in the graph in question

Philosophy of Mathematics A philosophy of mathematics should be included in an excellent philosophy of education. A philosophy of mathematics should include your thoughts and ideas about what mathematics education is, what impact it has on society, the qualities that make a good teacher, a teacher’s role, research on the standards and instructional strategies, and ways to ensure student are able to learn mathematic concepts in your classroom. Each of these ideas should forever be evolving because