Questions asked
35. A body is projected vertically upwards with a 45. For velocity of \( 98 \mathrm{~m} / \mathrm{s} \). How high will it rise and how much time will it take to return to its point of projection? [ \( \mathrm{g}=9.8 \mathrm{~m} / \mathrm{s}^{2} \) ] [2 Marks] Ans: \( 490 \mathrm{~m}, 20 \mathrm{~s} \)
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Let $K \subset C$. Prove that the following are equivalent: 1. K is closed and bounded. 2. Every open cover $K \subset \bigcup_{i \in I} U_i$ has a finite subcover $K \subset \bigcup_{i \in I_0} U_i$, for $I_0 \subset I$ finite. 3. Every sequence \{z_i\} $\subset K$ has a converging subsequence \{$z_{i_k}$\} (with \{$i_k$\} $\subset \mathbb{N}$) with limit in K. 4. For every continuous function $f: K \to \mathbb{R}$, the image $f(K)$ assumes its maximum.
An aqueous solution of sodium sulfide, Na2S, contains 1.52 grams of sodium sulfide and 17.7 grams of water. The percentage by mass of sodium sulfide in the solution is 7.91%. Submit AnswerRetry Entire Group
QUESTION 6 Which of these is a reason for thinking we should abolish factory farming that all classical utilitarians would be sympathetic to? Because there are legal protections that ensure the well-being of animals in certain contexts • Because animals can feel pain Because humans are descended from animals, and so if humans count, morally, then animals do, too Because animals have a moral right not to be harmed, just as humans do QUESTION 7 Under what conditions would Peter Singer say that you should not donate your money to charity? • When you need the money to pay for basic necessities When you have already donated enough to save someone's life When you need the money to give gifts to family members When you have already donated enough to save three lives QUESTION 8 Which of the following claims does Peter Singer make about the "Bugatti" and "Inheritance" cases? Select all that apply. (Note that points will be deducted for incorrect answers, so it's not a good idea to just select all of the options.) The fact that the child in Bugatti is closer than the child in Inheritance makes what you do in Inheritance less wrong than what Bob does in Bugatti (but still seriously wrong) The fact that many people are in a position to donate to charity but fail to do so makes what you do in Inheritance less wrong than what Bob does in Bugatti (but still seriously wrong) If what Bob does in Bugatti is seriously wrong, then what you do in Inheritance is seriously wrong There is no morally significant difference between what Bob does in Bugatti and what you do in Inheritance
1. Approximate the following integral using Trapezoidal Rule and Simpson's Rule\\ $\int_0^2 \frac{1}{\sqrt{1 + x^2}} dx$, $n = 4$
Find the four second partial derivatives. Observe that the second mixed partials are equal.\ z = 10xe$^y$ - 16ye$^{-x}$\ $\frac{\partial^2 z}{\partial x^2} = $\ $\frac{\partial^2 z}{\partial y \partial x} = $\ $\frac{\partial^2 z}{\partial y^2} = $\ $\frac{\partial^2 z}{\partial x \partial y} = $
Please explain the fracturing of national politics during the Federalist Era, 1789-1800. - How Hamilton's and Jefferson's opposing visions of the new nation played out in controversial policies of the first two Presidential administrations.
d.What is the discrete-time passband edge (angular) frequency ωp for the discrete-time filter? e. Sketch the magnitude response of a discrete-time filter ... (Pass-band = [0, 200] Hz). f. Sketch the magnitude response of another discrete-time filter ... (Pass-band = [100, 200] Hz).
II- In each item, give the standard equation of the circle satisfying the given conditions. 1. center at the origin, radius 5 2. center (4,-5), radius 3 3. center (7,6), tangent to the y-axis 4. center (-5,-4), tangent to the x-axis
