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A mechanical system is governed by the following ODE with the initial conditions shown: dy 16 dy dy +8 + 145y = 0, y = 2, = 0 when t= 0. dt2 dt dt Solve the equation fully with the following steps. = (a) Using the shift theorem, write down the transforms of the following two functions: g(t) = = Be-at cos(wt), h(t) = Ce-at sin(wt). = (b) Use the properties of the Laplace transform to find . (c) Find the roots of the denominator of and therefore factorise it. Considering the form of the transforms found for the functions above, state what form the original signal y will have. (a) 2 NO+C1 Step (1) NO + Cl NOC1 K Step (ii) NO+NOC1 2 NOCI Show that overall rate of the reaction k[NO][C1] where k=kik/k.1 and k [NO] Problem 1 Any vertical curve with G2>G1 is a sag curve. TRUE or FALSE Problem 2 The selection of minimum length for a crest vertical curve is controlled by 4 criteria: SSD, Comfort, General appearance and Drainage control. TRUE or FALSE 50% brine solution is transferred into a membrane reactor using a 3418 W pump. Given, the pump work 771.8 J/kg. Calculate the flowrate of the brine solution if the density of the brine solution is 1320 kg/m Your answer must be in (m/min). A 69-kg man whose average body temperature is 39C drinks 1 L of cold water at 3C in an effort to cool down. Taking the average specific heat of the human body to be 3.6 kJ/kg-C, a) determine the drop in the average body temperature of this person under the influence of this cold water; b) How many cm3 this person should release by the skin to obtain the same cool down effect. c) How long should be exposed to a 55W, 0.5 A persohal tower fan to do the same. Use average values on your place. How can you explain the differences in solubility of calciumchloride in the three solvents?How can you explain the differences in solubility of iodine inthe three solvents?Part B: Solute/Solvent Iodine CaCl water Nonsalable Yellow Soluble Color lees hexane Soluble Purple Nonsalable Color lees (1mark) ethanol Soluble brown Nonsalable Color lees In the Discussion forum, share some examples of how you can apply growth mindset in your daily interactions, either in a professional setting or in your academics. If you need help considering an example, you can choose one of the following:How do you handle a new project or task at work, home, or school?How do you embrace working in groups when you prefer to work independently?How would you react to your instructors suggestion to incorporate a data component into an assignment for your non-math-related course?What do you do when you dont understand something that everyone around you seems to have caught onto? 1. Calculate the compressive strength of cylinders at the age of testing Compressive Strength (f) Ultimate Load(P) Cross Sectional Area(A) where: fc is in MPa Pis in N A is in mm2 Compare the calculated compressive strength with those obtained from the Schmidt hammer Positive term series (don't need solution to 7) Calculate the signal to noise ratio for an amplification system having an amplifier gain of 200 , an amplifier bandwidth of 30KHz centered at 25KHz and amplifier input noise of 100nV/ HzRMS. The signal of interest has an input signal level of 10mV RMS at 25KHz. What is the main type of noise would you expect to be dealing with here? How might you improve the signal to noise ratio to a point where the signal to noise ratio is 5 ? 1. Why are interpersonal and communication skills especially important for someone in an administrative assistant role? 2. Describe the qualities that make a worker a professional. 3.Explain why critical-thinking, decision-making, and problem-solving skills are essential to an administrative assistant. 4. Describe a professional appearance and give examples of clothing or grooming that are inappropriate in the workplace. In Chapter 15, we learned about the period during adolescence in which individuals "struggle" to establish their identity. In the process, adolescents may go through any of the four identity statuses: why do humans eat food Derive the expression for temperature distributionduring steady state heat conduction ina solid sphere. Quesiton 8. Please help with Assembly Lang. tksa) Please convert 0xC23D0000 to Binaryb) if 0xC23d0000 is an IEEE 754 single precision expression. What is mantissa, biased exponent in Decimal, and real exponent in Decimal?c) Please convert IEEE 754 single precision bit pattern 0xC23D0000 to a Decimal Expression? show full details spanish!!! please help!!! :)for each verb below using the subjects and verbs provided. Remember, you will need to change the verb to match the subject and each verb will have TWO words (a form of estar and the verb with an ando or iendo ending). Then finish off the SIMPLE sentence with words from your vocabulary list in Units 1-7 and translate the sentences into English. See the examples below to help.Ejemplos: Yo / Estudiar! Yo estoy estudiando espaol en mi casa. = I am studying Spanish at my house. Mara / Comer! Mara est comiendo tacos con Jorge. = Mara is eating tacos with Jorge.1. Yo / Comprar2. T / Escuchar3. Pap / Trabajar4. Nosotros / Aprender5. Los amigos / Vivir6. Ella / Comer7. Nosotros / Escribir8. Migul y Beatriz / Hablar9. Yo/ Viajar10. T/ Beber Write a research paper on Music:the healer, paper must be 8-10pages, and please use APA CITATIONS for your work, thank you. Explain the following line of visual basic code using your ownwords: txtName.Height = picBook.Width How can CVP analysis help managers?How managers determine the output needed to achieve a Target Operating Income?How do you implement a normal costing system?How do you distinguish actual costing from normal costing?(or you could discuss other issues/problems that you find interesting/important) Question : 13 What is a feature found in all ortho-para directing groups? A. The atom attached to the aromatic ring possesses an unshared pair of electrons. VB. The group has the ability to delocalize the positive charge of the arenium ion. C. The atom directly attached to the aromatic ring is more electronegative than carbon.