Numerade

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Exercise for Students. 1. Let $(u, v)$ be the Euclidean inner product on $R^2$, and let $u = (3, -2)$, $v = (4, 5)$, $w = (-1, 6)$, and $a = -4$. Verify that (a) $(u, v) = (v, u)$ (b) $(u + v, w) = (u, w) + (v, w)$ (c) $(u, v + w) = (u, v) + (u, w)$ (d) $(au, v) = a(u, v) = (u, av)$ (e) $(0, v) = (v, 0) = 0$ 2. Compute $(u, v)$ using the inner product: (a) $u = \begin{bmatrix} 3 \ 4 \ 8 \end{bmatrix}$, $v = \begin{bmatrix} -1 \ 1 \ 3 \end{bmatrix}$ (b) $u = \begin{bmatrix} 1 \ -3 \ 5 \end{bmatrix}$, $v = \begin{bmatrix} 4 \ 0 \ 8 \end{bmatrix}$

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A tRNA anticodon is 5ʹ GCU 3ʹ. What codon can it bind to and what amino acid should it carry? Select all that apply.

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Question 14 Consider a 2 year fixed for floating rate swap that makes quarterly payments on a notional value of $7,000,000. The floating rate is equal to LIBOR and the rate for the fixed leg is 4.9%. Suppose Calima Financial entered the swap at inception to receive fixed and pay floating. Find the value of the swap at inception. If necessary assume a flat yield curve at 4.9%. Answer: Enter your answer as a numeric value rounded to 4 decimal places.

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How is C4 photosynthesis able to achieve higher concentrations of CO2 in the vicinity of rubisco than photosynthesis in C3 plants can? Select all that apply. by separating carbon capture from carbon fixation by closing stomata during the day by suppressing photorespiration because the C4 cycle is faster than the Calvin cycle

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Critically consider the ways in which a healthcare business can raise finance if it has a new product available with a Net Present Value of 100 million Bahraini Dinar.

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• HOW MUCH WOULD HAVE TO BE REPAID IF YOU BORROWED $4,000 FOR 210 DAYS AT 8% SIMPLE INTEREST?

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7. Given the graph of a function $y = f(x)$ below, (i) find the domain of the function (using the interval notation). (ii) find the range of the function (using the interval notation). (iii) is the function one-to-one? (iv) evaluate $f(3)$. (v) evaluate $f(-1)$. (vi) evaluate $f^{-1}(-1)$. (vii) evaluate $f^{-1}(3)$.

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13. Consider the following scheme for the diffusion equation: \frac{u_j^{n+1} - u_j^{n-1}}{2\Delta t} = \frac{u_{j+1}^n + u_{j-1}^n - u_j^{n+1} - u_j^{n-1}}{\left(\Delta x\right)^2}.

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Hi, can you please differentiate which are the current assets and which are the current liabilities from this balance sheet? Group 2019 $m As at 30 September Note 2018 $m Assets Cash and liquid assets 55,457 50,188 Due from other banks 32,130 30,568 Trading instruments 96,828 78,228 Debt instruments 40,205 42,056 Other financial assets 7,110 10,041 Hedging derivatives 4,689 3,840 Loans and advances 587,749 567,981 Due from customers on acceptances 2,490 3,816 Current tax assets 1,117 1,199 Property, plant and equipment 5,576 5,787 Due from controlled entities 262 33,283 Investments in controlled entities 2,670 4,037 Goodwill and other intangible assets 2,083 522,085 Deferred tax assets 11,103 468 Other assets 10,723 3,507 Total assets 847,124 806,510 Liabilities Due to other banks 34,273 38,192 Trading instruments 34,318 22,422 Other financial liabilities 33,283 30,437 Hedging derivatives 4,037 2,547 Deposits and other borrowings 522,085 503,145 Current tax liabilities 468 103 Provisions 3,507 2,196 Due to controlled entities 38,192 24 Bonds, notes and subordinated debt 22,422 14 Other debt issues 30,437 15 Other liabilities 2,547 25 Total liabilities 791,520 753,798 Net assets 55,604 52,712

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Prove the following logical equivalence using a series of logical equivalence: [($\neg$(a $\to$ b))$\lor$($\neg$(a $\to$ $\neg$c))]$\land$($\neg$($\neg$a $\to$ $\neg$c)) = (a$\land$c)$\land$$\neg$b

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ricardo p.