Show your work. Clearly identify your answer. Justify every step. 1. (5 points) C(x) = 0.0123...
Show your work. Clearly identify your answer. Justify every step. 1. (5 points) The function A(t) graphed below gives the balance in a savings account after t years with interest compounded continuously. The second graph shows the derivative of A(t). (Pay attention to the units on the graphs.) u y 350 14 250 y = A(t) 10 y = A'(t) 150 6 50 2 t t 10 20. 30 10 20 30 (a) What is the balance after 20 years?...
Please show your work! 6. (2 points) You are given 400 g of coffee (same specific heat as water) at 95.0°C (too hot to SS drink). How much ice (at 0.0°C) must be added to your coffee in order to cool it to 50.0°C? Neglect heat content of the cup and heat exchanges with the surroundings. Latent heat of fusion of ice is 3.33x10 J/kg: Specific heat of ice is 2100 J/(kgx°C). You must know the specific heat of water....
Solve the following problems. Show your work clearly. Q1. (10+10+5=25 points) a) Find the gradient of the function f(x, y) = 3x2 – 2xy + 2y and calculate it at (-1,1). b) Calculate the directional derivative of f(x,y) = 3x2 - 2xy + 2y at the point (-1,1) in the direction of the vector v =< -2,2> c) After solving part (a), if the vector in part (b) was given as v =< 1,0 > could you find the derivative...
(4) (You must show all your work). Answer the following (independent) questions. (a) The approximate temperature T of the skin in terms of the temperature T, of the environment is given by T = 32.8 + 0.27(T,-20) where T and T, are in degree Celsius. Find the rate of change of T with respect to T (b) The value V of a certain machine after t years have elapsed is given by V = 120, 00-15, 50t where 0 t=47...
please do not skip and excercise I need all pf them for strudying porpuses Answer each of the problems. Make sure to show all your work. 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second. If the mattress is completely inflated after 1 minute, how much air can the mattress hold? Include units in your answer 2) The same mattress in Problem 1 is later deflated by opening its...
please solve 17 for me thanks~~ :) ! temperature f(x) °C, where 5. f(x) = sin 0.1 x 6 f(x) = 4 - 08 |x - 5 7. fix) =x(10 - x) 8 Arbitrarytemperatures at ends. If the ends x = 0 and x= Lof the bar in the text are kept at constant 20. CAS PROJECT. Isotherms. Fim solutions (tempe rature s) in the squa with a 2 satisfying the followin tions. Graph isotherms. (a) u80 sin Tx on...
Date of Lab Numbers 1-4: Apply rule (a) or (b). Show every step of your work, including units. I. 41.57s + 0.016s 2. (1.57m)(12.02m)- 3. 1502 kg-3.14 kg Apply rules (a) and (b) at every step, showing work. Remember, order of operations requires division before addition. Do not find common denominators with this problem. 4. 999.0m+888m 444m- 6.00s 5.00s 4.80s work #4 again, by the simplified procedure (Rule C) for calculations with measured data. Show only this much work: The...
question 2,7,9 please Charge 1. (10 points) What is the current through a conductor if X electrons pass through a cross section in Y time? 2. (10 points) The current flowing through a conductor is X. If it flows for Y time, how many electrons is that X = 100 microamps, Y = 2 days 3. (10 points) A current XuA flows and Y electrons are transported. How long did it take? Resistivity 4. (10 points) An object is round...
please help with all of them -/1 Points) DETAILS SPRECALC6 2.4.006.MI. MY NOTES The graph of a function is given. Determine the average rate of change of the function between the indicated points on the graph. (Assume that the points lie on the grid lines.) - 2 Need Help? Talk to Tutor [0/1 Points] DETAILS PREVIOUS ANSWERS SPRECALC6 2.4.014.MI. MY NOTES A function is given. Determine the average rate of change of the function between the given values of the...
URGENT please show work and write clearly. Thank you. Use the data above to answer the questions. The original Absorbance vs. Time graph Absorbance vs. Time (min) 035 Ln(Absorbance) vs. Time (min) y = 1.174681-0.0733 R'9.990 Absoba Ice I absorbat) Time in Time (MI) 1/Absorbance vs. Time Y 0.62518x1.79428 R'-0.987 12Absotele ad Ln Time Absorbance 1/Absorbance Absorbance 0 0.3397 -1.07969 2.943774 1.5366 0.2806 -1.27083 3.563792 2.6937 0.255 -1.36649 3.921569 3.7872 0.2271 -1.48236 4.403347 5.0772 0.2105 -1.55827 4.750594 6.6 0.1809 -1.70981...