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Question 32Which of the following is not a factor to consider in refining the product backdog? dependencies among the user storiesO architectural challenges in implementing the stories implications on technical debtO testability of the user stories all of the above are factors to consider in refining the product backlog

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2. Gompertz Tumor Growth [13] A model for the growth rate of tumor, known as the Gompertz Tumor Growth is given by the following equation: \[ g(t)=2^{1-e^{-t}} e^{-t} \ln 2 \] where $ g(t) $ is the grouth rate of a $ t $ mor in $ \mathrm{mm}^{3} / $ month and $ t $ is the time in months. By how much is the volume of the tumor predicted to increase over the first year? Solve the above, by answering the following questions: (a) The volume (growth) of the tumor can be found bu futegrating the function $ g(t) $ with respect to time $ t $. Explain in your own words why this is so.|3| b) Use the symbols $ t_{1} $ and $ t_{2} $ as the lower and upper bolmds of the integral respectively. If $ t_{1} $ is initialized as $ t_{1}=0 $, calculate what will the value of $ t_{2} $ be? $ |1| $ C) ''sing Jom answer in prat (b), write down the defimile integral that will be used to calculate the volume (growth) of the tumor.|1| d) Solve the definite integral with an appropriate substitution. $ |6| $ (e) State in English what the value of your answer in part (e) describ

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Assume that a sample is used to estimate a population proportion p. Find the 99.9% confidence interval for a sample of size 375 with 58% successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.

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Find the domain of the function.\ g(x) = \frac{x}{x^2 - 196}\ The domain of the function is\ (Type your answer in interval notation.)

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(5 points) Problem 1 - Assume a bullet made of lead is at 301 K and melts down when it hits the target. Suppose that the entire its kinetic energy converts into its interna energy, which causes the temperature to rise and melt it. Calculate the speed of the bullet right before it hits the target. Choose any needed properties of lead from the table below. No need to have the mass of the bullet. Lead's mass density: $11.3 \times 10^3$ (Kg/m³) Specific heat of lead: 0.128 (j/g.K) Meting point: 800 (K) Boiling point: 2023 (K) Latent heat of fusion, $L_f$: 24.7 (j/g) Latent heat of vaporization, $L_v$: 858 (j/g)

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Identify the following as Micro or Macroeconomic studya.) The study of the relationship between competition and price discrimination in Smart Phone Industry. b.) A study on Male-female Labor Market Participation and the Extent of Gender-based Wage Discrimination in United States.c.) What determines the wages and benefits of flight attendants? d.) An economic analysis of the conditions that could lead to inflation in an economy. e.) How will Apple Inc. decide on a selling price for the iPhone?

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Identify the hemisphere labeled with the A and identify a function of this hemisphere. The hemisphere is called the [Select] A function of this hemisphere is to [Select]

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Direct ester formation from carboxylic acids and alcohols is easily accomplished under acidic conditions, but fails under basic conditions. To help explain this difference, draw mechanisms for the reactions of propionic acid and isobutyl alcohol under both acidic and basic conditions. You may also use words to supplement your answer.

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A1. Determine \frac{d}{dx}f(x) for the following functions: (a) $f(x) = e^{2x^2+3}$ (b) $f(x) = 2x^3 \cos x$ A2. Evaluate the following integrals: (a) $\int \frac{5}{4x-1} dx$ by using the substitution: u = 4x - 1. (b) $\int x e^{-2x} dx$ by using integration by part. [Hint: $\int x e^{-2x} dx = \int u dv$] A3. Let $x = \begin{pmatrix} 1 & 4 & 3\\ 2 & -1 & 1 \end{pmatrix}$. Find y and z such that $\begin{pmatrix} 4 & y+z & 12\\ 2y-z & -4 & 4 \end{pmatrix} = 4x$

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Deep in the ocean, a submarine lurks (Fig. 4.1). Due to the great depth at which the submarine hides, the hydrostatic pressure variations are sufficiently strong to cause the density of the fluid to change. Demonstrate a plot of pressure against depth for all values in the range 0ft to 3000ft. Compute the pressure at the submarine's depth, 3000 ft. $p_{sub} = $ We have previously used a constant density hydrostatic equation. More gener- ally, the hydrostatic equation is written as, $\frac{dp}{dz} = -\gamma$ Let us assume that the seawater satisfies the following equation of state, $\rho = \rho_0 \left(1 + \frac{p}{p_0}\right)^{0.1}$ where there reference conditions are taken at the ocean surface, and they are $\rho_0 = 1.99sl/ft^3, p_0 = 14.7psi$. Note, this equation of state is written so that $p$ will be measured in gage pressure.

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richard c.