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Question 1 Given $A = \begin{bmatrix} 1 & 2 & 1 \\ 2 & 0 & 3 \\ 3 & 1 & 4 \end{bmatrix}$, and let $A^{-1} = \begin{bmatrix} a & b & c \\ x & y & z \\ u & v & w \end{bmatrix}$. By using the inverse matrix definition, complete the following: $\boxed{} * a + \boxed{} * x + \boxed{} * u = 1$ $3 * b + \boxed{} * y + \boxed{} * v = 0$

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You have sequenced a mitochondrial gene from a marine organism (which you identified morphologically as being one species) and obtained a high-quality chromatogram with clear, distinct peaks. After running your sequence through BLAST, you find that the closest match to the species you had identified is only 92% similar to your query sequence. What cannot explain that scenario? The mitochondrial gene you sequenced has a high mutation rate, resulting in genetic divergence from the known sequence in the database All the other alternatives are valid. The sequence database is incomplete, and the closest available match does not fully represent the genetic diversity of the species.

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5. In a complexation experiment, a student mixed 1.5 x 10-2 M Cu(NO3)2 with 0.20M NH3solution to form [Cu(NH3)41+. What is the [Cuz*] at equilibrium? Kr = 1.7 x 1013.

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The rules of classification are based on evolutionary relationships. Can you think of another way to classify primates based on evolutionary relationships than the way primates are currently organized? Make an argument in a page or less. What is the basis of your organization, and why? Turn in your argument with a new cladogram that you have drawn.

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Question 23 Research suggests that the capacity of short-term memory is somewhat small, holding only about seven items at one time. equivalent to sensory memory, holding about a hundred items at one time. larger than the capacity of long-term memory among young people. quite large, holding a large number of items simultaneously.

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Sifan Company's direct labor cost is $ 20 \% $ of its total conversion costs. If manufacturing overhead cost is $ \$ 40,000 $ and if direct materials costs are $ \$ 80,000 $. what is the amount of: A. Direct labour cost B. Conversion cost and C. Total manufacturing cost

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Exercises 37-40. Find the Taylor series expansion of $f$ and give the radius of convergence. 37. $f(x) = e^{-2x}$ in powers of $(x + 1)$. 38. $f(x) = e^{2x}$ in powers of $(x - \pi/4)$. 39. $f(x) = \ln x$ in powers of $(x - 1)$.

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A manufacturer is interested in the output voltage of a power supply used in a PC. Output voltage is assumed to be normally distributed with standard deviation 0.25 volt, and the manufacturer wishes to test $H_0: \mu = 8$ volts against $H_1: \mu \neq 8$ volts, using $n = 8$ units. Use $z$-values rounded to two decimal places. Calculate the $P$-value if the observed statistic is (a) $\bar{x} = 7.9$ Round your answers to three decimal places (e.g. 98.765). P-value = (b) $\bar{x} = 8.2$ Round your answers to three decimal places (e.g. 98.765). P-value = (c) $\bar{x} = 7.7$ Round your answers to three decimal places (e.g. 98.765).

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Question 1 (8 pts): For the continuous-time system whose input-output pairs satisfy the relationship y(t) = x(t^2) \forall t, and for each of the following properties determine, with careful justification, whether or not the property holds: (a) linear, (b) time-invariant, (c) causal, (d) stable.

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# Problem 4: (20 pts) The `babynames` dataset Consider the `babynames` data from assignment 1 located within the R library package of the same name.. a. create a subset of the data with female babies named "Mary" from 1880-2014. How many observations are in this subset? a. Create a subset of the data with female babies named "Sophia" from 1880-2014. How many observations are in this subset? c. Construct a plot of the proportion of female babies named "Mary" from 1880-2014. On the same plot, add/overlay a plot of the proportion of female babies named "Sophia" from 1880-2014. Use different colors for "Mary" vs "Sophia" and add a legend. d. Briefly describe your interpretation of the plot.

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james c.