# Function Essay Examples

## Buffer system

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function properly, a proper pH level of the blood must be maintained at 7.4. Buffers refer to a solution containing a mixture of weak acids and salts of their corresponding bases. The optimum value of the pH is maintained by buffer system made up of three types. The buffer maintains the blood pH by adjusting the pH level, that is, increasing the acidity if the pH rises above the optimum value of 7.4 or taking up the hydrogen ions when the pH of the blood lowers below the optimum value. In this context, we will discuss the intracellular and plasma buffer system and how it function. Bicarbonate buffer system is the predominant buffer system that operates in the blood plasma. In essence, this buffer...

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## Problem Solving

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function increases or decreases and local minimum when the first derivative is equals to zero f' , 43x23+4x133=04x133x-1 +1=0 it follow that x =0 or-1Function decreases for x<-1 and -1<x<0Increases for x>0Local minimum x=0e. concave down or up for the function and sketch a graph f''x=-89x53+49x23 when f''x=0 therefore-492x-53-x-23=0 x=2by choosing x=0 and x=3 it follows that f''0=43>0 hence -∞,2 the curve is concave upward ) And f''3=integer hence 2, ∞ the curve is concave upward f. approximate intervals. i. increasing. x>1ii. Decreasing x<1iii. concave up x=1iv. Concave down .does not concave downwards 2 a). Squares to obtain a box with the maximum...

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## HOME WORK

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function on the given intervals. f (x) = 2-x3 on Solution To find the critical points, take derivative: f’(x)=-3x2 f’(X)= 0 0=-3x2 X=0 For absolute minima and maxima; f(0)=2-(0)3=2 f(-2)=2-(-2)3=10 f(1)=2-(1)3=1 Therefore: abs minima =1 at x=1 Abs maxima=10 at x=-2 (d) Calculate the limits of the following limx→0x+5x2 Solution Divide both numerator and denominator by x2 =lim x->0 1/x+5/x2 Since we have 0 in the denominator, the limit=0 (e) evaluate A'(x) at x = 1, 2, and 3. A(x) = -3x 2t dtSolution =d/dx(t2) At x=1; (12)-(-32) =-5 At x=2; (22)-(-32) =-2 At x=3;(32)-(-32) =12 (f) . Let A(x) represent the area bounded by the graph and the horizontal...

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## 983176648 test 3 revised

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function is given below Fill in the following table with approximate values (if they exist) 2 4 6 8 10 12 14 1 0 1 (b) For the function find and an equation of the tangent line to the graph of the above function at In the questions c to h , find (C ) y = x3 – x2 – x5/3 = 3x2 – 2x – 5/3x (d) y=x3 ln(1+x2) You may use (e) y'= 2+cosx+ ddxsinx-sinx. ddx(2+cosx)(2+cosx)2y'= 2+cosx.cosx-sinx. (-sin⁡(x))(2+cosx)2y'= 2+cosx+cos2 x+sin2(x)(2+cosx)2cos2 x+sin2x=1sin2x=1- cos2 xy'= 2+cosx+cos2 x+1- cos2 x(2+cosx)2y'= 1+ 2cosx(2+cosx)2(f) y=sin-1(ex)siny=(ex)cosyy'=(ex)y'=excosyy=ex1-e2x(g) Find if i.e. = ddxsin3(2x)=3sin22x.cos2x.2(2) (a) Find an equation of...

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## Mathematical Finance

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function V (t, z) lim V( t, z ) / (t, z) = ∞ is said to is said to be decreasing in convex and in z if and only if V < 1. Q.3 V(t,x,y) = dXt = rXt dt + t(µ-r) + tdWt – Ct dt + Yt dtdXt = rXt dt + t(µ-r) + tdWt – Ct dt + Yt dt = stochastic differential equation let f(t, x, y) = logeXft = 0, fx = 1/x, fxx = -1/x2 df = 0 dt + ½ dx - 1/2x * 1/2 (dx)2 = 1/x (dXt = rXt dt + t(µ-r) + tdWt – Ct dt + Yt dt) – 1/2x * ½ (2x2 dt) HJB = V( x,t,y) / t = ½ ydW2t + rXt –2 (V(x, t, y)/ x) + 2/2 * 2V(x, t, y) /...

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## Bremsstrahlung & Synchotron Radiation

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function. The fourth postulate provides the expectation value. It is =2lol{sin⁡(3πl)}xsin3πldx=2l0l3x{sin3π}dxUse standard Integral 0l3x(sin3x)2dx=Given the integral P=2ll/32a/3sin2πxldxP=2l=0.609Sketch of wave function Recalling from the notes in probability of particles, Between x=l1and x=l2for ψ3xisPl1l2=l2-l1L+16πsin6πl2L-sin6πl2Lwhere B=2/LSketch Question 6 The distance of the closest approach given the coulombic fields is; d=14πℇ0Z1Z2mv2Then calculate the distance by the two protons given; Energy = 1.5×107 K Velocity V= 3x10˄5 Mass m = 1.7x10˄-27 Kg. The total energy expected from the system; 12m1v12+14πℇ0z1z2r+12m2v22+14πℇ0z1z2r=Constant Closest...

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## Goal of Bone Replacement Grafts and Guided Tissue Regeneration

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function. According to the Glossary of Periodontal terms, guided tissue regeneration refers to procedures that try to regenerate damaged periodontal structures through the response of differential tissues. On the other hand, bone replacement grafts procedures aid in periodontal regeneration and bone formation. This paper focuses on the goals of the two periodontal therapy procedures; bone replacement grafts and guided tissue regeneration. It also gives brief explanations how these goals are achieved; that is the various mechanisms. Finally, the paper looks at how and when the two procedures are used together. Goal of Bone Replacement Grafts and Guided Tissue Regeneration Goal of Bone Replacement...

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## Epidemiological Big Game

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function, lysed blood cells that were as a result of destruction by toxins, bloody diarrhoea, vomiting, decreased urination and ground beef which was the most probable source of infection. References Fakhouri, F., Zuber, J., Frémeaux-Bacchi, V., & Loirat, C. (2017). Haemolytic uraemic syndrome. The Lancet, 390(10095), 681-696. Karpman, D., Loos, S., Tati, R., & Arvidsson, I. (2017). Haemolytic uraemic syndrome. Journal of internal medicine, 281(2), 123-148. Kaur, A., & Kerecuk, L. (2016). Haemolytic uraemic syndrome. Paediatrics and Child Health, 26(8),...

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## Brain Injury

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functioning issues concerning the "Change of Mind" documentary and "Sing Unburied" novel. Effects of Brain Injury on Society Brain injury not only subject victims to sufferings but also the entire society is adversely affected. The condition deprives the society productive human resources and also leads to the society incurring financial costs. Victims suffer mood swings and losses concentration which makes them lose their jobs (Pyror, 2016). Consequently, such individuals may engage in criminal activities to earn a living hence incurring financial problems to the society. What interventions could be helpful to this population in determining Brain Injury? The society has a role to play in...

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## See Instructios

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functions of various organs (Zamora-López, Zhou, & Kurths, 2011). Some of the common attributes include thinking and control of homeostasis. For the brain to do all these functions, the brain is divided into some parts. On the lower side, there is a link between the spinal cord and the brain called the medulla oblongata or myelencephalon. This regulates the reflex responses responsible for controlling involuntary functions such as heartbeat and breathing. Above the medulla are the cerebellum and pons. The pons is accountable for transferring information to the higher parts of the brain while the cerebellum process information from sensory nerves and facilitate body movements. Above the two is...

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