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samuel alvarez

samuel a.

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Credit extended by suppliers for the purchase of their goods and services is called .

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Practicing healthy habits such as eating a healthy diet, exercising, and getting adequate sleep has nothing to do with resilience. a. True b. False

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When I divide an integer by 15 , the remainder is an integer from 0 to 14 . When I divide an integer by 27 , the remainder is an integer from 0 to 26 . For instance, if the integer is 100 then the remainders are 10 and 19 , which are different. How many integers from 1 to 1000 leave the same remainders after division by 15 and after division by 27 ?

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The most fundamental economic problem is about: a. Peace and human flourishing. b. Minimum wage. c. Acquiring wealth. d. Reducing scarcity.

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Suppose we have a variant of an LBA called a 2LBA that can read cells through where is the length of the input. Is it decidable? Group of answer choices: No, because we cannot tell if the 2LBA goes into an infinite loop. Yes, the same argument as for LBA shows this, except we simulate for a larger, but still finite, number of steps. No, because we did not learn how to make a decider. No, by Rice's Theorem. Yes, because a 2LBA is still not as general as a Turing machine.

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3. Assume that an attacker has a special purpose application-specific integrated circuit (ASIC) which checks 5 x 10^8 keys per second, and she has a budget of $1 million. One ASIC costs $50, and we assume 100% overhead for integrating the ASIC (manufacturing the printed circuit boards, power supply, cooling, etc.). How many ASICs can we run in parallel with the given budget? How long does an average key search take? Relate this time to the age of the Universe, which is about 10^10 years. a. We try now to take advances in computer technology into account. Predicting the future tends to be tricky but the estimate usually applied is Moore’s Law, which states that the computer power doubles every 18 months while the costs of integrated circuits stay constant. How many years do we have to wait until a key-search machine can be built for breaking AES with 128 bits with an average search time of 24 hours? Again, assume a budget of $1 million (do not take inflation into account).

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Evaluate the integral.\\ $\int_{-9}^{0} \frac{dx}{\sqrt{16 - x}}$

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Problem 1. Compute the following integrals. Show all your steps. (a) \int \tan^{-1}(x)dx. (b) \int \sin x \sin 3x dx.

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Suppose $n(A) = 10$, $n(B) = 21$, and $n(A \cup B) = 24$. Use a Venn diagram to find $n(A \cap B)$.

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A right-circular cone and a right-circular cylinder of the same diameter and length ($A_2$) are positioned coaxially at a distance $L_g$ from the circular disk ($A_1$) shown schematically. The inner base and lateral surfaces of the cylinder may be treated as a single surface, $A_g$. The hypothetical area corresponding to the opening of the cone and cylinder is identified as $A_s$ For $L = L_g = 50$ mm and $D_1 = D_2 = 60$ mm, calculate $F_{11}$ and $F_{12}$ for the conical and the cylindrical configurations. $F_{11 cone} = $ $F_{12 cone} = $ $F_{11 cyl} = $ $F_{12 cyl} = $

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