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1. (a) Find parametric equations for the tangent line to the curve r(t) = ti + R
1. (a) Find parametric equations for the tangent line to the curve r(t) = ti + R cos((pi)t)j + R sin((pi)t)k at the point (1, -R,0). (b) Sketch both the curve and the tangent line…
1. (a) Find the six complex solutions of the equation -240 in modulus-principal
1. (a) Find the six complex solutions of the equation -240 in modulus-principal argument form and plot them on an Argand diagram. (b) Show that (1 + cos2+ isin 2)os* 1 for n a pos…
1. (a) Form an ungrouped frequency distribution of the following data. 1, 1, 0,
1. (a) Form an ungrouped frequency distribution of the following data. 1, 1, 0, 2, 3, 2, 2, 3, 0, 2, 3, 3 Referring to the preceding distribution, answer the following questions. …
1. (a) Give one reason why it is often more convenient or efficient for routing
1. (a) Give one reason why it is often more convenient or efficient for routing to be hierarchically provider-based, using CIDR – that is, routing is first to the destination prov…
1. (a) Given the following regression results, Estimated \'s for Stock A: = .85
1. (a) Given the following regression results, Estimated 's for Stock A: = .85 SMB = 1.04 HML = -.39 Estimated 's for Stock B: = 1.1…
1. (a) How far offshore is the barrier island at the\"P\" in the words \"Padre I
1. (a) How far offshore is the barrier island at the"P" in the words "Padre Island"? ______miles b) How wide is the island at this point? _______miles c) What is the highest eleva…
1. (a) How many ternary strings (strings of [0, 1,2)) of length 5 are there? (b)
1. (a) How many ternary strings (strings of [0, 1,2)) of length 5 are there? (b) How many ternary strings of length 5 are there that does not contain the substring 012? (Thus 2012…
1. (a) How much money will you have accumulated in your bank account if you put
1. (a) How much money will you have accumulated in your bank account if you put $3,000 in a CD today that earns 4% interest compounded annually for 10 years? (b) What if you could…
1. (a) I dive down to a depth 6.7metres beneath the surface of the ocean. Calcul
1. (a) I dive down to a depth 6.7metres beneath the surface of the ocean. Calculate the pressure in Pa at that depth, assuming the density of water is 1.0×103 kg/m3, and the air p…
1. (a) IN YOUR OWN WORDS, explain how Hess\' Law (of constant heat summation) ap
1. (a) IN YOUR OWN WORDS, explain how Hess' Law (of constant heat summation) applies to the 3 chemical reactions that will be studied in this experiment. (Note: answers copied fro…
1. (a) If W = the set of all days of the week, and Y is the set of all words or
1. (a) If W = the set of all days of the week, and Y is the set of all words or names that end in the letter y, how many elements are in the intersection of W and Y? (b) If B = th…
1. (a) If f(2)=2 and f(x) 5 for all x>2, then explain why f(4) 8. (b) Use the Me
1. (a) If f(2)=2 and f(x) 5 for all x>2, then explain why f(4) 8. (b) Use the Mean Value Theorem to demonstrate that if f(a) = b and f(x) d for all x > a, then f(x) d(x a) +…
1. (a) If the current in a sinusoidally driven series RLC circuit leads the emf,
1. (a) If the current in a sinusoidally driven series RLC circuit leads the emf, would we increase or decrease the capacitance to increase the rate at which energy is supplied to …
1. (a) If you throw a golf ball straight up at a velocity vy, how long dos take
1. (a) If you throw a golf ball straight up at a velocity vy, how long dos take to come back down? (b) [If a golf ball moves horizontally with a velocity vr, how far does it go in…
1. (a) In the United States, the standard sinusoidal AC household voltage is 120
1. (a) In the United States, the standard sinusoidal AC household voltage is 120 V (rms), and electric light bulbs are classified according to the rate at which electrical energy …
1. (a) In two sentences explain the difference between valence bond theory and m
1. (a) In two sentences explain the difference between valence bond theory and molecular orbital theory? (b) Draw the three most important resonance structures for the CH and OH b…
1. (a) In your own words, summarize how clast fabric analysis can be used to inv
1. (a) In your own words, summarize how clast fabric analysis can be used to investigate Quaternary deposits. (b) Explain in your own words why ice flow directions inferred from s…
1. (a) In your own words, summarize the approach used by McHenry and Dunlap (The
1. (a) In your own words, summarize the approach used by McHenry and Dunlap (The subglacial imprint of the last Newfoundland Ice Sheet, Canada; 2016) in the construction of the gl…
1. (a) Is the following association a function? Explain why or why not. Pick a 3
1. (a) Is the following association a function? Explain why or why not. Pick a 3-digit positive integer with all three digits different. Reverse the digits to get another 3-digit …
1. (a) Is the following association a function? Explain why or why not. Pick a 3
1. (a) Is the following association a function? Explain why or why not. Pick a 3-digit positive integer with all three digits different. Reverse the digits to get another 3-digit …
1. (a) Let Y = X^3 + u where X and u are independent standard normals. Compute E
1. (a) Let Y = X^3 + u where X and u are independent standard normals. Compute E (Y | X = x): (b) Suppose we have iid observations (Xi; Yi) i=1 to n from the above model. We run t…
1. (a) Outline the principles and essential differences between Continuous Cooli
1. (a) Outline the principles and essential differences between Continuous Cooling Transformation and Isothermal Transformation Diagrams (b) Using the TTT diagram for a plain c…
1. (a) Outline the principles and essential differences between Continuous Cooli
1. (a) Outline the principles and essential differences between Continuous Cooling Transformation and Isothermal Transformation Diagrams (b) Using the TTT diagram for a plain c…
1. (a) Routing is performed in the domain shown in figure Ql using OSPF in multi
1. (a) Routing is performed in the domain shown in figure Ql using OSPF in multi areas configuration. The links in solid line, between routers R1, R2, R3 and network N1, belong to…
1. (a) Show that 0.1 and 1/3 can be written as the following binary forms: 0.1 =
1. (a) Show that 0.1 and 1/3 can be written as the following binary forms: 0.1 = (0.00011001100110011...)2 1 = (0.010101010...)2 3 (Hint: You can write the right hand binary numbe…
1. (a) Show that B = [1 - 3x + 7x 2 ; 4 - x 2 ; 2 + x - x 2 ] is a basis for P2.
1. (a) Show that B = [1 - 3x + 7x2; 4 - x2; 2 + x - x2] is a basis for P2.
1. (a) State whethereach of these statements is true or false, giving brief reas
1. (a) State whethereach of these statements is true or false, giving brief reasons whythis is so (Note that no markswill be awarded for a simple true/false reply). i. When using …
1. (a) Suppose that you formulate a Linear Programme (LP) with: three deci 0 sio
1. (a) Suppose that you formulate a Linear Programme (LP) with: three deci 0 sion variables b, s and g; objective to maximise 30b +50s+80g; and ten constraints. On solving the LP,…
1. (a) Suppose you are selling a product for $10 per unit in a competitive indus
1. (a) Suppose you are selling a product for $10 per unit in a competitive industry; using the perfectly competitive model, showand explain what your profit will be if you sell 20…
1. (a) Suppose you plan to invest in a financial asset that will pay a $50 every
1. (a) Suppose you plan to invest in a financial asset that will pay a $50 every year for the life of the company. You don’t expect the annual payment to ever grow, and similar fi…
1. (a) Suppose you spend all of your income on apples and oranges, which are bot
1. (a) Suppose you spend all of your income on apples and oranges, which are both normal goods and which are imperfect substitutes. If the price of apples increases, will you cons…
1. (a) Take a well-shuffled deck of 52 playing cards and start opening cards one
1. (a) Take a well-shuffled deck of 52 playing cards and start opening cards one by one from the top. How long is the expected wait till the first ace? (b) Now instead of opening …
1. (a) Tay-Sachs disease is a rare but fatal genetic disease. If a couple are bo
1. (a) Tay-Sachs disease is a rare but fatal genetic disease. If a couple are both carriers, then a child born to them has a probability 0.25 of having the disease. If such a coup…
1. (a) The Fibonacci numbers are the numbers in the following integer sequence,
1. (a) The Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and are characterised by the fact that every number after the first …
1. (a) The Fibonacci numbers are the numbers in the following integer sequence,
1. (a) The Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and are characterised by the fact that every number after the first …
1. (a) The Fibonacci numbers are the numbers in the following integer sequence,
1. (a) The Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and are characterised by the fact that every number after the first …
1. (a) The diffraction of radiation can be used to determine the spacing between
1. (a) The diffraction of radiation can be used to determine the spacing between atoms. In practice, the wavelength of the radiation used should be restricted to a value which is …
1. (a) The phosphorus atom is called aim purity. (Ipts) (b) The boron atom is ca
1. (a) The phosphorus atom is called aim purity. (Ipts) (b) The boron atom is called a () impurity.(1pts) (c) Among two basic processes that cause electrons and holes to move in a…
1. (a) Three point charges, A = 1.55 µC, B = 6.65 µC, and C = 3.95 µC, are locat
1. (a) Three point charges, A = 1.55 µC, B = 6.65 µC, and C = 3.95 µC, are located at the corners of an equilateral triangle as in the figure above. Find the magnitude and directi…
1. (a) Translate the following into a mathematical statement: “For an ideal gas
1. (a) Translate the following into a mathematical statement: “For an ideal gas at constant pressure, it is known that the volume of the gas V, is directly proportional to the tem…
1. (a) Use Newton\'s Method to approximate the fixed point of the function f(e t
1. (a) Use Newton's Method to approximate the fixed point of the function f(e to an accuracy of 10-4. Choose any starting value for x0 that gives convergence. Recall, a function h…
1. (a) Use interval notation to indicate where (in that interval) the graph of g
1. (a) Use interval notation to indicate where (in that interval) the graph of g is concave up: ? (b) Use interval notation to indicate where (in that interval) the graph of g is …
1. (a) Using Maple or comparable software, determine the repeating decimal expan
1. (a) Using Maple or comparable software, determine the repeating decimal expansion for the rational numbers and 14 (b) What is the period in each case? In other words, what is t…
1. (a) Western Insurance Company has assets at fair market value of $100 million
1. (a) Western Insurance Company has assets at fair market value of $100 million. The present value of Western’s liabilities is $85 million. The market value margin is $5 million.…
1. (a) What are the local variables in the following method? public String binar
1. (a) What are the local variables in the following method? public String binary (int decimal) ( String binary int base return binary; (b) Identify and explain what kind of casti…
1. (a) What horizontal force T:must be applied to pull the supporting rope aside
1. (a) What horizontal force T:must be applied to pull the supporting rope aside until the angle at the wall will be 45 degrees as shown (b) Find T T1 T2 2. A car moving at 30m/s …
1. (a) What is IT governance? Describe four objectives of IT governance (b) Desc
1. (a) What is IT governance? Describe four objectives of IT governance (b) Describe the relationship between the risk assessment and control activities components of the COSO fra…
1. (a) What is IT governance? Describe four objectives of IT governance (b) Desc
1. (a) What is IT governance? Describe four objectives of IT governance (b) Describe the relationship between the risk assessment and control activities components of the COSO fra…
1. (a) What is IT governance? Describe four objectives of IT governance (b) Desc
1. (a) What is IT governance? Describe four objectives of IT governance (b) Describe the relationship between the risk assessment and control activities components of the COSO fra…
1. (a) What is the Intensity of the light after it passes through Sheet 1 before
1. (a) What is the Intensity of the light after it passes through Sheet 1 beforereaching Sheet 2. (b) What is the Intensity of the light after it passes through Sheet 2? (c) We as…