Numerade

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Express the limit as a definite integral on the given interval. $$ \lim_{n \to \infty} \sum_{i=1}^{n} x_i \sqrt{7 + x_i^3} \Delta x \quad [2, 4] $$ $$ \int_2^{} (\quad) dx $$

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4.Fine granular particles of sodium bisulphite (NaHSO,) at a rate of 5 wt% is to be mixed to sodium sulphite (Na,SO,) to make a 100 kg batch for a particular process. The course of the mixing operation is to be monitored through the values of the mixing index calculated at different time intervals. Number of particles NaHSO, in 100-particle samples were found to be after 5 and 10 minutes: | Number of NaHSO, in samples after 5 minutes | 16 | 4 | 2 | 12 | 10 | 0 | 5 | 1 | 8 | |---|---|---|---|---|---|---|---|---|---| | Number of NaHSO, in samples after 10 minutes | 8 | 7 | 6 | 5 | 5 | 7 | 3 | 4 | 2 | Find the mixing index after 5 and 10 minutes. Is the mixture getting mixed better over time? Assume both particles are of same size and density. (4)

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$ \Rightarrow \quad \omega \in \operatorname{ker} f $ Q. Examples: $ \quad f: \mathbb{R}^{3} \rightarrow \mathbb{R}^{2} $ defined by $ f((x, y, z))=(y, z) $ is it a linean map or not? \[ \begin{aligned} u_{1} & =\left(x_{1}, y_{1}, z_{1}\right) \quad u_{2}=\left(x_{2}, y_{2}, z_{2}\right) \\ f\left(u_{1}+u_{2}\right) & \left.=f\left(u_{1}\right)+f\left(u_{2}\right)\right] . \text { cheek. } \\ f\left(\lambda u_{1}\right) & =\lambda f\left(u_{1}\right) \end{aligned} \]

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Which evolutionary effect would be most likely to occur if a small part of a population relocated to a new area? Ob. the founder effect Od. artificial selection Oc. genetic drift a. the bottleneck effect

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The nervous system of a freshwater planarian consists of ? a simple brain of ganglion cells leading to a ladder-type nerve network. ? no cells since they were lost along with other unnecessary systems in parasites. ? only sensory and motor neurons, but no association neurons. ? only a diffuse subepidermal nerve plexus underneath the ventral skin. ? the first complex central nervous system.

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Choose the translation that best reflects the ordinary language meaning of the sentence If Sarah gets good grades, then Maria will play quietly. S = Sarah will get good grades M = Maria will play quietly S≡M M ⊃ S S v ~M S ⊃ M

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A Z 2 S The lectures and textbook discussed research on stress and the effects of aging which has identified a biological mechanism that is responsible for stress-aging effects; in other words, findings show that stress influences this biological mechanism which, in turn, can cause people to be "old before their time." The biological mechanism is: the hypothalamus telomeres the genetic code the amygdala QUESTION 5 The field of study that explores how environmental experience switches on genes, making them active in the production of proteins, is called: A) heritability studies B) epigenetics C) twin studies D) coevolution Click Save and Submit to save and submit. Click Save All Answers to save all answers. X #3 F3 E S4 4 C F4 R F ole LO % 5 V F5 T G 6 MacBook Air B F6 Y H 7 AA U 8 J DIE F& I K O F10 Save All Ans

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For this question you will be required to upload a file with your solutions for the problems below only. Please attach a file with all your relevant work. If you have an issue uploading the file please send the file via Canvas messenger ASAP. A. (15 points)Go back to question 3 in this exam and for your selected answers give the dimensions of the resulting valid matrix operations. B. (20 points) Below is an example of Gaussian elimination. For each step (A)-(D) give the row operation performed. Make sure to use the notation discussed in module 13. [[1,-2,3,9,3,0,-4 2,-5,5,17]] 2 -1longrightarrow^((A))[[1,-2,3,9,1,3,5,-5,5,17]] 2 0 longrightarrow^((B))[[1,-2,3,9,1,3,5,-1,-1,-1]] 0 0 longrightarrow^((C))[[1,-2,3,9,1,3,5,0,4,4]] 0 0 longrightarrow^((D))[[1,-2,3,9,1,3,5,0,1,1]] 0 0 For this question you will be reguired to upload a file with your solutions for the problems below only.Please attach a file with all your relevant work.If you have an issue uploading the file please send the file via Canvas messenger ASAP. A. (15 points)Go back to question 3 in this exam and for your selected answers give the dimensions of the resulting valid matrix operations. B.(20 points) Below is an example of Gaussian elimination.For each step (A)-D) give the row operation performed.Make sure to use the notation discussed in module 13. 1 -2 3 9 [1 3 (A) 9 -1 3 0 -4 0 1 3 5 -5 5 17 2 -5 5 17 1 -2 3 (B) 9 0 1 3 5 Lo -1 1 -2 3 9 (C) 0 1 3 5 07 0 4 4 2 3 9 (D) 0 1 3 5 Lo 0 1 1

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f(x)=(1)/(3x^(2)+1) g(x)=-x^(2)+5 Find f+g and f*g. Then, give their domains using interval notation.

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What is the major product to the following reaction? $NaOH$ $H_2O$

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david f.