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Find the limits \lim_(t->0)[((sin(2t))/(t)+3)i+2e^(2t)j+(cos(3t)-1)/(sin^(2)(2t))k]= \lim_(t->0)[(e^(2t)-1)/(t)i-t^(3)j+2e^(t)k=] \lim_(t->0)[(sin(3t))/(t)i+(t^(3)+t)/(t)j+e^(2t)k]=

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Qusetion 2 RATIO AMALYSIS (20 Mara) The following information was extracted from the records of FLAMBOYANT WHOLESALERS for the year ended 29 February 2024. Information: • Entract Flamboyant Wholesalers Statement of comprehensive Income for the year ended 29 February 2004. Sales [all credit] Less: Cost of sales Gross Profit Add: Operating Income Gross Income Less: Operating Expenses Operating Profit Less: Interest Expenses Net Profit for the year 300 000 (180 000) 120 000 30 000 150 000 3 (50000) 100 000 (20000) 80 000 - Entract ASSETS Non-Cument Assets Current assets Inventory Debtors Bank 950 000 360 000 110 000 80 000 170 000 1310 000 EQUITY and LIABILITIES Owner's Equity 860 000 Non-Cument Liability 300 000 Current Liabilities 120 000 10: Inventory on 01 March 2023 was R90 000. Roquired: 22 24 Current ratio Inventory) (2 marks) (3 marks) (3 marks) (3 marks) (3 marks) (3 marks)

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1. Suppose the state government passes a law banning the sales of card with quality $X_j < 10$. Our goal is to see whether there are any prices at which transactions do occur. Suppose we have a candidate price $P$. Given the sellers' utility function $U_s = \sum_{n}^{j=1} \frac{3}{2}X_j + M$, seller will place all cars $i$ of quality between $10 and $P$ on the market. Under the conditions, what is the range of prices where the market can function? If the minimum quality is less than only $1, the market works? In this case what is the range of prices where the market can function?

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Sample Output: First color R: 255 G: 0 B: 0 Second color R: 128 G: 0 B: 128 Color Distance: 180.3163

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what is one potential benefit of social media, particularly for adolescents who are marginalized due to various factors?

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Consider the mechanism below. Step1: A + B2 ? AB + B (fast) Step 2: AB + B2 ? B3 + A (slow) Overall: 2B2 ? B3 + B Based solely on this mechanism, the rate law for this reaction would be: rate = k[B][B3] rate = [AB][B2] rate = k[AB][B2] rate = k[A][B2]

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Question of the Day Lecture 6: Entropy >Understanding processes by calculating ?S Consider 1200 J of heat flows spontaneously through a copper rod from a cold reservoir held at 350 K to a hot reservoir held at 650 K. Hot reservoir $T_H = 650 K$ Your task: Determine whether the process is reversible, irreversible, or impossible, by finding the total change of entropy. Copper rod 1200 J Cold reservoir $T_C = 350 K$

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A fast food meal provides 400 calories and contains 20 grams of fat. What is the percentage of calories from fat? ? 40% ? 45% ? 25% ? 15%

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4 K 3 K 4V A 1K 10 V 5 K 2 K 2 K B Circuit 1 C1.1. Current in the 10 V source? C1.2. Current in the 3K resistance? C1.3. Current in each of the 2K resistances connected in parallel? C1.4 Voltage in the 1 k $\Omega$ resistor

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In the vertical plane, as shown below, the jaguar A leaps from position O at speed $v_0$=6 m/s and angle $\beta$= 35° +last digit of your Student ID number (SID)(e.g. for SID=543004567, $\beta$ = 35+7=42°) relative to the incline to try to intercept the panther B at position C. Given that the angle of the incline is $\theta$ = 25°. Determine: a) the distance R that the jaguar jumps from O to C (i.e., R is the distance between the two points of the trajectory that intersect the incline), b) the maximum perpendicular height $h_{max}$ above the incline achieved by the leaping jaguar. Neglect air resistance and the size of the jaguar.

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sylvia p.