Numerade

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Given that g(x)=(x-1)/(x+2), find each of the following. ag(9) bg(1) cg(-2) dg(x+h) ag(9)=, (Simplify your answer.) B. g(9) does not exist. C. g(9) is not a real number.

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The air, as an ideal gas, in a thermally insulated rigid tank whose volume is 0.05 m³ is initially at 4 MPa and 37°C. Enough air is now released from the tank (i.e. go out) to reduce the pressure inside to 3 MPa while the temperature inside tank stays at 37°C (i.e. isothermal process). Determine: The amount of electrical work (We) supplied to the tank during this process in kJ. Air Te = 37 °C For Air: Initially m₁ Air R = 0.287 kJ/kg.K P1 =4 MPa Cp = 1.005 kJ/kg.K T₁ = 37 °C Cv = 0.718 kJ/kg.K V = 0.05 m³ We

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A 120 g insulated aluminum cup at 34 $^\circ$C is filled with 170 g of water at 51 $^\circ$C. After a few minutes, equilibrium is reached. Part A Determine the final temperature. Express your answer using two significant figures. $T_f =$ Submit Request Answer Part B Estimate the total change in entropy. Express your answer to two significant figures and include the appropriate units. $\Delta S =$ Value Units Submit Request Answer

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Problem 2 In the engine system shown $l = 160$ mm and $b = 60$ mm. Knowing that crank AB rotates with a constant angular velocity of 1000 rpm clockwise, determine the velocity of the piston P and the angular velocity of the connecting rod when $\theta = 60^\circ$.

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Question 33 (1 point) Regarding the treatment of Posttraumatic Stress Disorder (PTSD), which of the following statements is least accurate?

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Select the statements that accurately reflect opportunistic infections. Check All That Apply These infections commonly occur in healthy individuals. E coli that causes UTIs is an example of a common opportunistic pathogen. Very young and very old patients are most susceptible to opportunistic infections. The presence of other pathogens in a patient has no effect on the development of opportunistic infections. Cancer patients are at a higher risk for opportunistic infections.

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1. (By hand) Let \begin{equation*} A = \begin{pmatrix} 1 & 2 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{pmatrix} \end{equation*} (1) Calculate $||A||_1$, $||A||_2$, $||A||_\infty$ and $||A||_F$ all by hand. (2) Find $\kappa(A)$ in 1-norm, 2-norm, $\infty$- norm and F- norm.

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Find the condition on the real number $ a, b $ and $ c $ such that the following system of equations has a solution \[ \begin{array}{r} 2 x+y+3 z=a \\ x+z=b \\ y+z+c \end{array} \] Find the value of $ a-2 b-c $.

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You are a cyber security analyst responsible for reviewing alerts that come from the organization's SIEM. Which of the following could be an IOC? A Built-in administrator account login B A user logged into a workstation C Windows update service detected running on a workstation D A user had a failed login attempt

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2. (6 points) Suppose that $\vec{u}$, $\vec{v}$, $\vec{w}$ are vectors in $R^n$ such that $||\vec{u}|| = 2$, $||\vec{v}|| = 3$, $||\vec{w}|| = 5$, $(\vec{u}, \vec{v}) = -1$, $(\vec{u}, \vec{w}) = 1$, and $(\vec{v}, \vec{w}) = -4$. Compute: (a) $(\vec{u} + \vec{v}, \vec{w})$. (c) $||4\vec{w}||$. (e) $||\vec{u} + \vec{v}||^2$. (b) $(\vec{u} + \vec{w}, \vec{v})$. (d) $||\vec{v} - 4\vec{w}||^2$. (f) $||2\vec{u} + 3\vec{v}||^2$.

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matthew h.