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# Homework Help for Mathematics (page 571)

240,261 Results
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
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+
17 May 2018
Mathematics
2. Find all integer solutions to +
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.
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.
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) =
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.
14 May 2018
Mathematics
1. Let A and B be two subsets of some universal set. Prove that if (AUB) = AUB, then A=B.
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]
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?
12 May 2018
Mathematics
(x + y) (y + 2) 1. Prove that for any ,y,z ER: if I >y>2, then ry+yz >
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.
12 May 2018
Mathematics
Use partial fractions to compute the following indefinite integral - J7? - 40 +4.