Numerade

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Find the derivative of the function f(x)=4-(4/3x) at the point (1/2)

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Question 3: (1) (10 points) Controller Design: Is this system controllable?. Explain by creating the controllability matrix and reporting rank. 𝑥̇= [ 5 0 ] 𝑥 + [0 ] 𝑢 10 2 1 𝑦 = [1 0]𝑥 Controllability Matrix: Rank # of States? Controllable?

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Which layer of the epidermis is responsible for water resistance? Choose the best answer. View Available Hint(s) Stratum Basale Stratum Spinosum Stratum Corneum Stratum Granulosum

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1. Discuss the functions of neurotransmitters in the brain and their relationship with abnormal behavior. 2. Do you believe with the psychoanalytic theory of Sigmund Freud that the roots of psychological problems is rooted in the unconscious motives and conflict during childhood days. Explain your answer. 3. Explain the roots of abnormal behavior as explained under the sociocultural perspective. 4. Choose three psychological methods of treatment and explain the goals and techniques of each.

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3. If you add 5.00 mL of 1.00 M NaOH to 30.0 mL of 1.00 M $HC_2H_3O_2$, what is the change in concentration (x)? The following table may help. $HC_2H_3O_2(aq)\rightarrow H_3O^+(aq)+C_2H_3O_2^-(aq)$ Before: Question #1 Question #2 Change: -x +x After: $Q_1 - x$ $Q_2 + x$ $1.8 \times 10^{-5} = (0.143 + x)(x) / (0.714 - x)$ $1.8 \times 10^{-5}(0.714 - x) = (0.143 + x)(x)$ $1.2852 \times 10^{-5} - 1.8 \times 10^{-5}x = x^2 + 0.143x$ $1.2852 \times 10^{-5} - 1.8 \times 10^{-5}x - 0.143x = x^2$ $1.2852 \times 10^{-5} - 0.143018x = x^2$ $x^2 + 0.143018x - 1.2852 \times 10^{-5} = 0$ x = $8.98 \times 10^{-5}$M x = ____ M Show work:

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Question 09: The minimum radius of a cable tray bend is governed by which of the following? A Type of cable tray B Number of cables being installed C CSA of the largest cable to be installed D Existing pipework in the area of installation

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You are going to develop a Python code that uses the Agglomerative Hierarchical Clustering Algorithm, Euclidean Distance, and Single Linkage (minimum distance between two clusters to merge them) to cluster at least 6 data records using a dendrogram.

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21. The time (in minutes) between requests for the hookup of electric service was accurately recorded at the Gotwatts Flash and Flicker Company, with the following results for the last 50 requests: 0.661 4.910 8.989 12.801 20.249 5.124 15.033 58.091 1.543 3.624 13.509 5.745 0.651 0.965 62.146 15.512 2.758 17.602 6.675 11.209 2.731 6.892 16.713 5.692 6.636 2.420 2.984 10.613 3.827 10.244 6.255 27.969 12.107 4.636 7.093 6.892 13.243 12.711 3.411 7.897 12.413 2.169 0.921 1.900 0.315 4.370 0.377 9.063 1.875 0.790 How are the times between requests for service distributed? Develop and test a suitable model.

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Determine whether the following series $\sum_{n=1}^{\infty} \frac{3 \cdot 6 \cdot 9 \cdots (3n)}{n!} $ is absolutely convergent, conditionally convergent, or divergent.

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(a) Describe the behavior of a two-input XOR gate and how you would connect a number of them to determine the parity of an 8-bit binary number. (An n-bit binary number has "even" parity if the number contains an even number of 1's; otherwise, the number has "odd" parity). [8 marks] (b) Determine the Boolean function for a four-input XOR gate which implements the Boolean function below and express the function as a canonical sum of products expression. Hence or otherwise, draw the Karnaugh map for this four-input XOR gate. F = ABCD [7 marks] (c) A digital circuit has two control inputs (C and C'), two data inputs (X and X'), and one output (Z). The circuit performs one of the logic operations NAND, NOR, XOR, or EQU (equivalence output is 1 if both inputs are the same) on the two data inputs according to the control inputs, as specified in the table below: C1 C2 Function performed by circuit NOR XOR NAND EQU 0 0 1 1 0 1 0 1 (i) Derive a truth table for Z (ii) Use a Karnaugh map to find a minimum AND-OR logic circuit to implement Z [10 marks]

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megan p.