Root-finding algorithm

Intro: Newtons Method: Haley F. / Andrew H. Newton’s Method, also known as Newton-Raphson method, is a method used for finding the zeros, roots or in more simple terms where any given function exactly crosses the x access. In calculus we may be presented with problems given that we cannot find a definite answer to, but we can use Newton’s Method to calculate a group of answers that get closer and closer to the actual solution. Newton’s Method has given the world of calculus a method of finding extremely refined educated guesses to once before impossible questions to answer. The numerical definition of Newton’s Method is defined as follows: If X1 is an initial guess for a solution to the equation f(x) = 0 , then Xn + 1 = − . If we are asked to f(Xn) f′(Xn) + Xn compute the √5 algebraically, without using a calculator, we can use newton 's method to get an approximate solution. First we know that the √5 is…

incongruent trials, which is consistent with the results of previous studies (Gratton et al., 1992; Botvinick et al., 1999). The interaction indicated that conflict adaptation had occurred, in that the difference in response times in current congruent or incongruent trials was indeed smaller when the current trial followed an incongruent trial. This finding was consistent with the results of the Botivinick et al.’s (1999) study where a similar interaction was found, but contradicted the results…

What is your Cage? What keeps you back from freedom? Maya Angelou wrote an amazing and entertaining autobiography titled I Know Why The Caged Bird Sings, about her hard life growing up as a black girl from the South. Among the hardships are things known as "cages" as stated as a metaphor from Paul Dunbar's poem "Sympathy." "Cages" are things that keep people from succeeding in life and being everything they want to be. Some of Maya Angelou’s cages include being black in the 1940's and her…

(-- removed HTML --) The Ya-te-veo tree, meaning "I-See-You" tree, is a carnivorous plant native to the jungles of the Old World, and regions of Outer kingdoms such as Africa and Central America. It possesses a thick, short tree trunk consisting of greenish brown bark, and several long tendrils which resemble huge serpents, darting side-to-side as if they were engauged in an angry conversation. There are five glowing green eyes at the top of the trunk, placed in such a way to allow full…

Problem: Among three basil plants that will be watered differently, how much water will a basil plant need daily to stay healthy if I pour a quarter of a pitcher in plant A, a half pitcher in plant B, and one pitcher in plant C? Hypothesis: My assumption is that plant B will be the healthiest because it seems that plant A will have an insufficient amount of water, and plant C will have too much water, making the basil plant too turgid, resulting into temporary to permanent wilting, leading to…

Oxford dictionary defines ‘’Root’’ as family, ethnic, or cultural origins, and the part of a plant which attaches it to the ground or to a support. It is taught that when roots go deeper what is on the ground gets richer. Roots which mean origins symbolize history of a culture, literature, customs, and traditions of a society. The most convenient example of planting seeds and watching the process of roots is how American society created their own way of living. American society’s history goes…

Owl coming up out of a hole, and make a sound at me. Which I believed it to be a burrowing owl. In addition, I saw jumping cactus, barrel cactus’s, and saguaros. 4. a. The name of the plant I chose was the barrel cactus also known as Echinocactus grusonii officially. b. The average length was 43.4 mm, and the average width was 2.8 mm. The range in length was 7 mm and the width was 2 mm. c. They had a more curve to the leaves/spikes then the other ones around it. d. The function of…

As objective as one may claim to be, I cannot believe that one can truly commit any action let alone an intellectual analysis without being deeply influenced by their fundamental values as conscious beings. The bedrock of philosophical inquiry meets the starting point of human thought with the most basic questions whose answers, varied as they may be, determine the ways in which man perceives the most basic elements of life, and consequently the most complex. What is the true root of knowledge?…

versus salt water: What effect did they have on seed germination? Purpose The purpose of this experiment was to figure out what types of water would have an effect and what that effect would be on seed germination. Background information Plants need nutrients to survive. These nutrients can include nitrogen, calcium, phosphorus, magnesium, sulphur and iron. The plant absorbs these nutrients through the roots from the soil. These thing aren’t the only things plants need to survive…

suffers. Without those beautiful trees to draw people in, you have a harder time selling cemetery plots,” added Borkowicz. After all, your trees are a big part of what make your cemetery yours. Take a moment to survey your cemetery, and imagine if your trees suddenly vanished. Not a pretty sight, is it? Luckily, with tree inspections and preventative care, you can keep your trees healthy, vigorous and blooming for years. RJ Laverne, Davey Tree’s manager of education and training, outlines…