Question Solved1 Answer = If you were to use a substitution of u = 3x3 + 6 to evaluate the definite integral below, what would the new limits of integration be? 4 4 [ 4x2 (3x3 + 6)* dx +6; (Enter an exact answer.) Provide your answer below: The new lower bound is and the new upper bound is

8. Let D be the solid under the plane 3x + 2y +z = 12 and in the first octant. Calculate S S Sv xyz dV and assign the result to q8. 9. Let D be the solid under the plane z = 10 – x, above the xy-plane and bounded on the sides by the planes x = 0, y = 0 and x + y = 1. If the density is f(x, y, z) = z, find the mass and assign the result to q9. 10. Let D be the solid inside the cylinder r = cos e, above the xy-plane and under the paraboloid z = 9 – x2 - y2. Calculate S S SpzdV and assign the result to q10.

2.54x10-3 25 4.93x10-3 35 7.64x10-3 42 1.23x10-2 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ )/(RT)] where E, is the activation energy, R is the universal gas constant and A is the pre-exponential factor (units of the rate constant). Taking the 2.54x10-3 25 4.93x10-3 35 7.64x10-3 42 1.23x10-2 50 1.47x10-2 53 It is known that the variation of the rate constant k with the absolute temperature T is described by the Arrhenius equation: k = A exp [(-E₂ )/(RT)] where E, is the activation energy, R is the universal gas constant and A is the pre-exponential factor (units of the rate constant). Taking the natural logarithm of both sides affords: Ea In k = In A - RT For a plot of y = In k versus x = 1/T, calculate the slope of the best straight line using linear regression. 1 pts Submit Answer Tries 0/99 Calculate the activation energy E₂. 1 pts Submit Answer Tries 0/99 Copyright: Department of Chemistry, Simon Fraser University - ⒸSFU Chemistry 2020-2022

3 An experiment can result in one or both of events A and B with the probabilities shown in this probability table: AC B. BC A 0.3 0.18 0.4 0.12 Find the following probabilities: a. P(A) b. P(B) c. P(ANB) d. P( AB) e. P(BIA)

Arrhenius Equation Activation Energy The affect of temperature on the rate of a reaction was studied and the following data obtained: *{") T("C) 8 4.09X10 5.62x10 7.66X10 12 16 25 1.49x10 1.98x10- 29 3.64*10 18 5.3610- 44 7.32x10 49 It is known that the variation of the rate constant k with the absolute temperature is described by the thesion A ex- where is the activation energy. R is the universalas constant and A is the pre-exponential factor (units of the rate constant). Toking the natural logarithm of both sides afford Actor In A 1.90x10 20 3.6410 5.36x10 732x10 14 49 It is known that the variation of the rate constant with the absolute temperature is described by the house * Api- where the activation energy. Ris the universal gan constant and is the pre-exponential factor (units of the rate constant). Taking the natural logarithm of both sides affordat In A 1 ET For a plot of yn in versus x 1/1, calculate the slope of the best straight line using lingar og 1 pts Submit Answer Thies 0/99 Calculate the activation energy E Submit Answer Incorrect Tries 2/99 Brodos. Tie

number 29 and 31 please! I dont know how to get to the answers mathematically 27, 28, 29, 30, 31, 32, 33, and 34 Explain, using Theorems 4, 5, 7 and 9, why the function is continuous at every number in its domain. State the domain. 27. f () < + 2 Answer 28. g(u) 3u - 1 12 +2u - 15 29. ht) cos(t) 1 - et Answer + 30. B (u) = 3u - 2 + y2u - 3 31. L (v) = vin (1 - 02)

1-Write a regex to match only special dates. A special date is a date (MM/DD/YYYY) where the MM = DD = the last 2 digits of the year. Leave the user the choice of date separators (allow a dash, space, dot and forward slash as date separators) Example: 08/08/2008 2-URL matching is a complicated task. At a minimum, URL matching should match the protocol (probably http and https), a hostname and a path. Write a regex to match a URL. i.e. http://www.yahoo.com https://www.yahoo.com/ www.yahoo.com.lb http://www.rcsb.org/pdb/home/home.do/ http://www.rcsb.org/pdb/explore/explore.do?structureId=3GWD