Numerade

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Using Ethylene, $C_2H_4$, and methyl bromide, $CH_3Br$, as your sole sources of carbon, propose a synthesis for t-BuOH, $(CH_3)_3COH$. *the synthesis should take about 7 steps and will include an alkylation and a Grignard reaction. Use one equivalent of methyl bromide for the alkylation step and use the second one to make the Grignard reagent. The substrate in the Grignard reaction will be a carbonyl - make this from your alkyne AFTER alkylation. *show all reactants and intermediates

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2. The reaction: $CH_4 + 2O_2 \rightarrow CO_2 + 2H_2O$ releases heat, is it A. endothermic. B. exothermic. C. isothermic. D. protothermic.

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Alkene and Alkynes Draw both trans-2-butene, CH3CH=CHCH3 and cis-2-butene, CH3CH=CHCH3 3-D

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Five cards are chosen at random from an ordinary deck to form a hand in poker. In how many ways is it possible to get the following results? Complete parts (a) through (e) below (a) How many ways is it possible to choose 4 jacks? There are 48 ways. (b) How many ways is it possible to choose no clubs? There are 575,757 ways. (c) How many ways is it possible to choose exactly 3 clubs? There are 211926 ways. (d) How many ways is it possible to choose at least 3 clubs? There are ways

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Give one real life application of where integration can be used in real life.

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Point charges +4.00 µC and +2.00 µC are placed at the opposite corners of a rectangle as shown in the figure. What is the potential at point A due to these charges? ($k = 9 \times 10^9 \text{ N} \cdot \text{m}^2/\text{C}^2$) +4.00 µC 0.400 m +2.00 µC 0.800 m B 90 x $10^3$ V 9000 V 90 x $10^4$ V 900 V 90 x $10^5$ V

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4. Prepare a table for seven trials of a distribution with p = 0.35, calculate the expected value two ways, and graph the histogram. Explain the choice of the distribution and the meaning of the probabilities. [4]

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An 8 kg bowling ball is attached to the ceiling with a piece of wire that is 2.2 m in length. The ball is pulled back to some angle and released from rest. What the ball is at the bottom of its swing, it moves with a speed of 3.6 m/s. a. If the gravitational potential energy of the ball at the bottom of the swing is taken to be zero, what was its gravitational potential energy at the top of its swing? b. What was the angel from which the ball was released?

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Q-5.1: Bisection Method You are designing a spherical tank (shown) to hold water for a small village in a developing country. The volume of liquid it can hold can be computed as $V = \pi h^2 \frac{[3R - h]}{3}$ where $V$ = volume (m³), $h$ = depth of water in the tank (m), and $R$ = the tank radius (m). If $R = 3$ m, what depth must the tank be fille to so that it holds 30 m³? Use the bisection method to determine your answer. A complete answer will include (a) A brief paragraph describing two important concepts (i) how this engineering problem is represented mathematically, and (ii) how will a numerical method help solve a math problem? Write your answer in the PDF file. (b) Algorithm shown as a flowchart and pseudocode Write your answer in the PDF file. (c) Implementation of the algorithm using spreadsheets Submit Excel file with data and the plot (Sheet 1). (d) Implementation of the algorithm using Octave programming Write your answer in the dot-m file. (e) A brief paragraph describing following important results (i) what is the mathematical answer and it's accuracy (ii) how does your answer depend on the initial guess? (iii) what is the answer to the engineering problem? Write your answer in the PDF file.

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Question 19 How many times the following C program prints hello? main() { fork(); fork(); printf("hello"); } A) eight times B) twice C) four times D) once

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