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3. 10 points A steel bar of length 3 m experiences extreme heat at its center, so that the temperature at coordinate x on the bar is given by $T(x) = 40 \sin (\frac{\pi x}{3}) + 50^\circ C$ where the bar sits along the interval $[0,3]$ on the x-axis. Determine the average temperature of the bar. Write the exact answer, i.e., no calculator values. To receive full credit, show your work.
6. Given a 6-element array with distinct elements, say $\{x_1, x_2, x_3, x_4, x_5, x_6\}$, it is known that $x_1 < x_2 < x_3 < x_4 < x_5$. How many more comparisons do you need to get the whole array sorted? Ans:
Observation is an important audit technique where the auditor can use sight, hearing, touch, and smell. Observation needs to be used together with other audit techniques because it is a high-cost technique that is rarely used by auditors. auditors may not accurately observe and interpret what is happening. it is a point-in-time technique limited to the time of the observation. employees will often perform their procedures consistently over time.
According to Unit 3: Motivation / Maslows: Someone purchasing a trip to learn about museums & history in Italy is attempting to meet which need? Question 10 options: Esteem Needs Power Needs Self Actualization Security needs
A Debt of R 8000 with interest rate of 12% per annum is being amortized with 5 equal payments. Find the size of the periodic payment and construct an amortization schedule. You should round the payments up to the cent.
(a) What is the RC time constant of the circuit (in s)? 6050 s (b) What is the initial current (in A) in the circuit once the switch is closed? 0.00159 A (c) How much time (in s) passes between the instant the switch is closed and the time the current has reached half of the initial current? 4193.54 s
Mammography is currently a controversial topic today for its ability to correctly screen and prevent an incident case of breast cancer. Suppose that the prevalence of breast cancer in a certain group of women is 0.30. Additionally, suppose researchers have determined the false positive rate for mammography screening to be 0.10, and the sensitivity of the screening test to be 0.83. A) What is the Predictive Value Positive for mammography in this hypothetical example? B) Interpret this finding. C) What can we say about the claim that mammography is currently controversial today?
Diamond Coast Partners is a full-service accounting firm that offers tax, assurance, and management consulting. The cost accounting department would like to allocate HR costs these three divisions. HR is a supporting department for all divisions. Data analysis is needed for this project. What would be the motivation and the objective for the data analysis? Group of answer choices The motivation is to improve each division's profitability. The objective is to identify how much HR costs should be allocated to each division. The motivation is to understand how allocating HR costs will affect each divisions' profitability. The objective is to identify how much HR costs should be allocated to each division. The motivation is to understand how allocating HR costs will affect each division's profitability. The objective is to reduce each division's operating costs. The motivation is to understand how much HR costs should be allocated to each division. The objective is to determine how allocating HR costs will affect each division's profitability.
Research and development of treatments for COVID-19 patients is targeting several steps during the virus life cycle. Which of the following treatments will provide long lasting immunity? Ovaccine. decoy receptors protease inhibitors ORNA polymerase inhibitors entry fusion inhibitors
3)(1+2+3 points) A function of two variables is given by $f(x,y) = x^2y - y$. The domain D is the interior of the ellipse $x^2 + 2y^2 = 2$. a) Compute the first and second partial derivatives of $f$. b) Find and classify (local min, local max, or saddle) the two critical points of $f$ inside of $D$. c) Find the maximum and minimum values of $f$ on the domain $D$.