Use the method of undetermined coefficients to find a general solution to the system x'(t) = Ax(t) + f(t), where A and f(t) are given. 0-10 x(t) = A = -1 0 B 3e6t 0 0 f(t) 3 sin 3t 0 1
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- Use the References to access important values if needed for this question. Two-Step Algebra 1 1 bc + d In order to solve the equation above for b, you must: Step One Add the same expression to each side of the equation to leave the term that includes the variable by itself on the right-hand side of the expression: 1 + - = a +bc + - dEcell Mg2+(aq) + 2 e- -> Mg(s) Mg2 + |Mg = - 2.372 Sn4+(aq) + 2 e- -> Sn2+(aq) Sn2 + , Sn4 + |Pt = + 0.154 Cl2 (g) + 2 e- -> 2 Cl-(aq Cl-| Cl2 |Pt = +1.36 Which of the following is best reducing agent for Cl2(g)? a. Mg(s) b. Mg2+(aq c. Sn4+(aq) d. Sn2+(aqWhat is the median of the values 7.79, 8.24, 5.81, 4.97, 1.04, 7.39, and 7.22?
- Write the equation in exponential fo log_(2)256=8 The equation in exponential form.The following linear plot is derived from a function of the form y = ae", where a and b are constants. 4.5 4 3.5 3 2.5 2 1.5 1 0.5 0 0.1 0.2 0.3 0.4 0.5 0.6 For the functiony = ae" from which the data points on the graph were derived, the numerical value of the constants are a = and b = A uj(a) A solution of 20.91 % by weight H2SO4 has a specific gravity of 1.150. What is the normality of this solution? (b) Water is added to dilute this solution to a solution of 3.03% by weight H2SO4 (SG= 1.020). What is the new normality of the resulting solution and how were they mixed? (Assume 100 mL of the original solution was used.)
- Solve for x, where M is molar and s is seconds. Include units. x = (3.8×10^3 M^−2s^−1)(0.30M)^3A graduated cylinder (measuring cylinder) contains 27 mL of water at 25 °C and the mass of the water is 26.92 g. A sphere of iron with a diameter of 18.0 mm is added to the water in the graduated cylinder. The total mass of the water and the iron is 50.92 g. (The volume of a sphere is given by the expression: V = (4/3)ar³). (i) Calculate the total volume of the water and the iron in the graduated cylinder. (ii) Determine the density of iron at 25 °C? Show your calculations. (iii) Without doing any calculations, what do you think the density of 48.00 g of iron is at the same temperature? Explain your answer.Question 2. Alldredge studies the properties of marine snow in Ref. [2]. The figure below is adapted from this work, and plots the mass of different particles of fecal marine snow as a function of their volume on a log-log scale. In[Particle Mass M (ug) / (1 µg)] 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 ● 0 Fecal snow Line of best fit 2 3 4 5 In[Particle Volume V (mm³) / (1 mm³)] 6
- An electric current of 26.30 A transports 350. µC of charge. Calculate the time this took. Be sure your answer has the correct unit symbol and the correct number of significant digits. x10A tank with a capacity of 74 liters, initially contains 20 kilograms of salt dissolved in 50 liters of water. Another solution, containing 3 kilograms of dissolved salt per liter, runs into the tank at 4 liters every minute and that the mixture (kept uniform by stirring) runs out of the tank at the rate of 1 liter per minute. What is the concentration of the solution in the tank at point of overflow? Intermediate values should be rounded only to two decimal places. Round off the final answer to two decimal places.Two-Step Algebra a = -bc+d Use the References to access important values if needed for this question. In order to solve the equation above for c, you must: Step One Add the same expression to each side of the equation to leave the term that includes the variable by itself on the right-hand side of the expression: +a = -bc+d
