Numerade

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reach relation, decide whether or not it is a function. Relation 1 Relation 2 Domain Range Domain Range t g 4 cloud b t -9 moon a g -6 pen k t -3 paper 9 tree O Function Not a function O Function Not a function Relation 3 {(-2, 6), (-2, 0), (-2, -2), (-2, -7)} Relation 4 {(j,-4), (b, -8), (v, -5), (z, 9)} Function Not a function Function Not a function

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5. Tangents \overline{AB} and \overline{AC}. Find OC.

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Step 3 Recall the quotient law, which states that if the limits $\lim_{x \to 8} f(x)$ and $\lim_{x \to 8} g(x)$ exist and $\lim_{x \to 8} g(x) \neq 0$, then the following holds. $\lim_{x \to 8} \frac{f(x)}{g(x)} = \frac{\lim_{x \to 8} f(x)}{\lim_{x \to 8} g(x)}$ Applying this limit law gives us the following. $\lim_{x \to 8} \left( \frac{3 + \frac{1}{x} - \frac{x^2}{2}}{\frac{8}{x^2} - 7} \right)$

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a researcher is studying the global biogeochemical cycling of nutrient X,

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Limestone flux (granular) is added to a wastewater neutralization system in 55-gallon drums (55 US gallons = 208 L). The operation uses a guideline of 1 ton = 1 drum. The density of CaCO3 is 2900 kg/m3. What is the void fraction of the granular flux?

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24. A 15,000-kg truck moves up an inclined plane at a constant speed of 10 m/s. If the plane makes an angle of 30° with the horizontal, what is the horsepower required to move the truck? Use $g = 10 \text{ m/s}^2$. a) 2000 hp b) 200 hp c) 100 hp d) 1000 hp

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Texts: True or False: A block of mass equal to 1.15 kg vibrates according to the equation x = 0.650 cos(7.40t), where x is in meters and t is in seconds. 04. ( ) The amplitude of the mass-spring system is equal to 0.650 m. 05. ( ) The angular frequency of the mass-spring system is equal to 7.40 rad/s. 06. ( ) The total energy of the spring-mass system is equal to 17.8 joules. 07. ( ) The potential energy when it is at x = 0 is equal to the total energy.

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Q#2 Let $A = \begin{bmatrix} 4 & 2 & 0 \ 2 & 4 & 1 \ 0 & 1 & 4 \end{bmatrix}$, $b = \begin{bmatrix} 6 \ 7 \ 5 \end{bmatrix}$ (a) Find the best w when using the SOR method to solve Ax = b. (b) Use the above w to estimate the solution using SOR method and x = (1,2,3), find only the 1st iteration. (c) Does the Gauss-sided method converges for the above example. Do the 1st iteration with $x^{(0)} = \begin{pmatrix} 1 \ 2 \ 3 \end{pmatrix}$ (d) Show if the SOR method converges then w ? (0,2)

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10. Find the largest number a that makes the following statement true: "The series $\sum_{n=0}^{\infty} \frac{(n!)^3}{(3n)!} x^n$ converges for all x with $|x| < a$" A. 3 B. $3\sqrt{3}$ C. 6 D. $6\sqrt{3}$ E. 9

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Question no. 3: (9 Marks) Ar Rahman Corporation has projected sales and production in units for the second quarter of the coming year as follows: April May June Sales (units)...... 50,000 40,000 60,000 Production (units) 60,000 50,000 50,000 Cash-related production costs are budgeted at $5 per unit produced. Of these production costs, 40% are paid in the month in which they are incurred and the balance in the following month. Selling and administrative expenses will amount to $100,000 per month. The accounts payable balance on March 31 totals $190,000, which will be paid in April. All units are sold on account for $14 each. Cash collections from sales are budgeted at 60% in the month of sale, 30% in the month following the month of sale, and the remaining 10% in the second month following the month of sale. Accounts receivable on April 1 totaled $500,000 ($90,000 from February's sales and $410,000 from March's sales). Required: a. Prepare a schedule for each month showing budgeted cash disbursements/payments (Accounts Payable) for Ar Rahman Corporation. (4.5 marks) 6

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