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Homework Help for Mathematics (page 571)

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Mathematics
PROBLEM 14: At a student technology cluster on campus, 80% of the computers are PC's, and the other 20% are Macs. It is also the case that 70% of the PC's do not work correctly. and 5% of the Mac's do not work correctly. If a student randomly chooses a computer, and the computer does not work correctly, what is the probability that it is a PC ? A) 24/43 B) 0.57 C) 56/57 D) 0.56 E) 0.92 N) none of the above
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16 May 2018
Mathematics
1 10. Letf(x) = x² +3 --- 1. Its derivative satisfies 1 2.03 + x2 +1 (x + 1)(2.2 - 2+1) f'(x) = 2x +1+ = 22 (a) Evaluate lim f(c) and lim f(). 100- 20+
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17 May 2018
Mathematics
2. Find all integer solutions to +
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16 May 2018
Mathematics
A company has taxable income of $50,000. The federal tax is 10% of that portion that is left after the provincial tax has been paid. The provincial tax is 15% of that portion that is left after the federal tax has been paid. If x denotes the federal tax and y denotes the provincial tax, write a system of equations and solve it. What's the total of the taxes paid? Round your answer to the nearest dollar.
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15 May 2018
Mathematics
1. (a) Let f(x) = xe-* Find f'(x) and simplify your answer. [4 points) (b) Let y=z® log2(x). Find dy and simplify. [4 points) [5 points) 8 - V163 , if 374 (c) For x > 0 let h(2) = 2 - k if x = 4 Find the value of the constant k that makes h continuous at x = 4.
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15 May 2018
Mathematics
6. Consider the function f(x) = (3-1) and "C) 2(x2 - 6) (a) [3 marks) Show that f'() = ? and f" (30) =
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15 May 2018
Mathematics
6. A rectangular box has a square base and an open top (i.e., no top). If the total outer surface area of the box is to be 432 sq cm, what will be the largest possible volume of the box? Remember to justify that your answer is indeed a maximum.
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14 May 2018
Mathematics
1. Let A and B be two subsets of some universal set. Prove that if (AUB) = AUB, then A=B.
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12 May 2018
Mathematics
2. State the negation of Bc ER,VY ER, if x - y > 1, then (y > 1 or y < -1). You do not need to prove or disprove the statement. [3 marks]
Answered
12 May 2018
Mathematics
17. The population of a colony of ants, in thousands of ants, can be modeled by the following function I(t) = 0.1 +0.3t + 50, where t is months since the start of 2015. (a) (5 points) Determine I'(7). (b) (5 points) Explain the meaning of your answer from part (a) in the context of the problem. (c) (5 points) Determine I"(t), what does this tell you about the rate of change of the colony over time?
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12 May 2018
Mathematics
(x + y) (y + 2) 1. Prove that for any ,y,z ER: if I >y>2, then ry+yz >
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12 May 2018
Mathematics
1. (a) State the precise mathematical definition of lim f(0) = -0. (b) If B(h) is the barometric pressure in kiloPascals at height h in kilometers. What is the physical interpretation of B'(2) = 1? (c) Write the definition of tanh c and state its domain and codomain. (d) Find the exact value of log (2) – log (5) + log2 (20). (e) Use the Intermediate Value Theorem to prove that the function f(c) = r4 - 2r3 – 3.r+2 has at least one real root.
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12 May 2018
Mathematics
Use partial fractions to compute the following indefinite integral - J7? - 40 +4.
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12 May 2018
Mathematics
4. An erroneous proof of a statement is given below. Indicate where a fundamental error in the argument is made. Briefly explain what the error is. The statement is false but this is not relevant to your answer. The lines of the proof have been labelled to make it easier for you to answer. [2 marks] Statement: Let a and b be positive real numbers. If b > 5, then log, (250) <3. Proof: (1) Let a, b e R where a, b > 0. (2) Assume b>5. (3) Using rules of logarithms, log(250) = logo 25+ logo a. (4) Since b > 5, then log, 25 = logo 52 <2. (5) When a = b, log, a = 1. (6) Therefore logo (25a) < 2+1 = 3.
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11 May 2018
Mathematics
8. The product of two positive numbers is 144. What is the minimum value of their sum? (a) 26 (b) 18 (c) 24 (d) 20 (e) 22
Answered
11 May 2018
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