Questions asked
For the following transformations, please provide detailed conditions to give the designated product in maximum yield with minimum by-products. More than one step may be needed. [8 pts ea] a) Br \\ (single enantiomer) b) OH (one stereoisomer) CN Br Br OMe
\( \begin{array}{l}\text { Soln } \\ {[A / I]=\left[\begin{array}{ccc|ccc}1 & -2 & -4 & 1 & 0 & 0 \\ 2 & -3 & -6 & 0 & 1 & 0 \\ -3 & 6 & 15 & 0 & 0 & 1\end{array}\right]}\end{array} \)
a child is on the edge of a cliff 100 m high. the child throws a stone vertically upwards with a speed of 15 m/s. at what time later must be child drop the other stone from the same position so that both stones fall to the bottom of the cliff at the same time?
13. Which of the following statements is true about the graph of $f(x) = \frac{3x}{e^{3x}}$? I. $f$ is everywhere differentiable. II. $f$ has a horizontal asymptote at $y = 0$. III. $f$ has a relative extrema at $x = \frac{1}{3}$. a. I and II only b. I and III only c. II and III only d. II only e. I,II, and III.
Q6 What three key pieces of information does the compiler not know when performing instruction scheduling so that it can not change the order of instructions efficiently. LW R3, 4(R4) SW R7, 0(R11) LW R5, 0(R11)
Consider fitting the set of points (-1, -1), (0, 0), (1, 1), and (2, 5) by a quadratic function y=c0+c1t+c2t^2. Set up the least squares problem and determine the coefficients c0, c1, c2 using the normal equations and Gaussian elimination.
You win a sweepstakes that will award a lump sum prize of $150,000. You decide to invest all of the prize money into a savings account that earns 0.06% annual interest compounded quarterly (4 times each year) for 20 years. How much will your prize money be worth at the end of the 20-year savings period? Answer = $151,810.71
11. Farmer Ted sells winter wheat in a perfectly competitive market. The market price for a bushel of winter wheat is $9. Ted has 270 bushels of wheat to sell. If his total variable cost is $2,000 and his total fixed cost is $500, then Ted: O a. is earning positive economic profits. Ob. is earning a normal profit. Oc. is minimizing his losses. Od. should raise his price. 12. Q 0 8 17 27 40 54 66 76 84 91 96 Costs for Toy-Making Firm ATC AVC AFC MC 93.75 58.82 46.30 37.50 32.41 30.30 29.61 29.76 30.22 31.25 31.25 29.41 27.78 25.00 23.15 22.73 23.03 23.81 24.73 26.04 62.50 29.41 18.52 12.50 9.26 7.58 6.58 5.95 5.49 5.21 31.25 27.78 25.00 19.23 17.86 20.83 25.00 31.25 35.71 50.00 Reference: Ref 8-7 --(Table) If the toy-making firm in the table faces a market price of $20 in the short run it should: Oa. produce 40 toys. Ob. produce 96 toys. Oc. produce 76 toys. Od. shut down.
QUESTION 7 A heat engine receives 3889 J of heat and loses 2514 J in each cycle. What is the efficiency of this engine? Answer should be decimal (not percent) with two decimal places
The diagram below shows a rigid body ABED that is part of a hyperloop system. ABED consists of a disk-shaped plate with center at E, and a rod AB. These two components of ABED are rigidly attached to one another. ABED is supported in equilibrium by cable CD, a smooth journal bearing at B and a smooth thrust bearing at A. Note that the bearings at A and B are different types. The bearings are in proper alignment and only exert force reactions on the rod. The mass of the plate is 300 kg, and the corresponding weight acts at E. The mass of the rod can be neglected. Note that ABED is not in contact with the cylinder. a) Draw a large, clear free-body diagram for ABED. (5 marks) b) Determine Cartesian component force equations of equilibrium for ABED. (5 marks) c) Determine a vector moment equation of equilibrium in determinant form for ABED. Take (4 marks) moments about B. d) Determine Cartesian component moment equations of equilibrium for ABED. (3 marks) e) Determine numerical values for the Cartesian components of reaction at A and B and the tension in the cable. (3 marks) Z 2.00 m C 3.00 m 3.00 m 3.00 m B E A r = 3.00 m D y