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Relative Intensity 100 80 60 40 20 0 10 20 30 40 50 60 70 80 90 100 m/z Neat Liquid 3075 2974 2918 1649 1448 1065 856 773 400 MHz (CDCl₃) 1H (s) 9 8 7 6 5 4 3 2 1 0 ppm 6H (two singlets) Carbon 13 NMR: 134.91 (s) 111.64 (d) 22.85 (q) 18.16 (q) Structure No. 7:

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22. The $ 50-\mathrm{kg} $ block is stationary at time $ \mathrm{t}=0 $, and then it is subjected to the force P shown. Note that the force is zero for all times beyond $ t=15 \mathrm{sec} $. Determine the velocity v of the block at time $ \mathrm{t}=15 \mathrm{sec} $. Also calculate the time t at which the block again comes to rest.

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It is important to be able to identify different types of differential equation when solving an ordinary differential equation. Some of the most important properties of an ordinary differential equation are “order”, “linearity”, and “homogeneity”. State the order of the differential equation and determine whether it is a linear differential equation. If it is a linear differential equation, further determine whether it is homogeneous or non-homogeneous.

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Find the value at risk (VaR) for an investment of $100,000 at 4 %. (That is, find out how low the value of this investment could be if the worst 4 % of outcomes are ruled out.) The investment is expected to grow during the year by 11 % with SD 23 %. Assume a normal model for the change in value. (a) The value at risk (VaR) for an investment of $100,000 at 4 % is $

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in orders given to administer 100 mg of furosemide a diuretic over the course of four hours by IV if a 500 mL back contains 200 mg of frozen semi with flow rate in milliliters per hour should be administered to the patient

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Use the definite integral to find the area between the x-axis and $f(x)$ over the indicated interval.\ f(x) = $-x^2$ + 9; [0, 5]

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Four roommates are planning to spend the weekend in their dorm room watching old movies, and they sre debating how many to watch

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5. (a) Find a basis for the linear space $W^\perp$ if W is generated by $\vec{w_1} = \begin{pmatrix} 1\\ -1\\ 1\\ 1 \end{pmatrix}$ and $\vec{w_2} = \begin{pmatrix} 1\\ 0\\ 0\\ 1 \end{pmatrix}$. (b) Find a basis for the linear space $W^\perp$ if W is the linear subspace defined by the equations $x_1 - x_3 + 2x_4 = x_1 + x_2 + x_3 + 3x_4 = 0$ in $\mathbb{R}^4$. (c) Find the matrix of the orthogonal reflection with respect to the hyperplane W : $x_1 - x_2 +$ $2x_4 = 0$ in $\mathbb{R}^5$.

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inverse of [3 5 0 3 7 1 1 2 1]

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5. Find the equation of a line that satisfies the following conditions. a. $m = -\frac{3}{4}$, $(0, 5)$ b. $m = -3$, $(1, -4)$

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amanda r.