Numerade

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a. A C₅H₁₂ compound with no secondary hydrogens. b. An alkane that has eight carbons and only primary hydrogens.

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Question 4 (a) The beam is made from four boards nailed together as shown in Figure Q4 (a). If the beam is subjected to an internal moment of M = 3.2 kNm, determine the maximum compressive and tensile stress in the beam (b) Consider the same beam as in part (a), the internal moment is replaced by the transverse shear force of 2.4 kN as shown in Figure Q4(b). If each nail can support a shear force of 280N, determine their required spacing s. (20 marks) A 100 mm 25 mm 125 mm M 75 mm 25 mm 75 mm 75 mm 25 mm Figure Q4 (a) 2.4 kN 100 mm A 25 mm 25 mm S 75 mm S S 25 mm 75 mm -75 mm 25 mm Figure Q4 (b)

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We have found two isotopes of carbon in our samples, the first with mass number 14 and the second with mass number 12. How many neutrons are in each of the isotopes?

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5. Evaluate the limit using the given graph: y = h(x) a. $\lim_{x \to -2} h(x)$ d. $\lim_{x \to 3} h(x)$ b. $\lim_{x \to 2} h(x)$ e. $\lim_{x \to 3} h(x)$ c. $\lim_{x \to 2} h(x)$ f. $\lim_{x \to 3} h(x)$ Find the limit as $x \to \infty$. Based on your results, determine any horizontal or oblique asymptotes. 6. $\lim_{x \to \infty} \frac{4x^2 - 7}{8x^2 + 5x - 2}$ 7. $\lim_{x \to \infty} \frac{3x^3 - 7}{x^4 + 5x^2}$ 8. $\lim_{x \to \infty} \frac{4x^3 + 4x^2 + 7x + 4}{x^2 + 1}$

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If $\int_{-8}^{6} y(s)ds = 16$ and $\int_{-2}^{6} y(s)ds = 10.7$, what does the following integral equal? $\int_{-8}^{-2} y(s)ds = $

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List the three critical numbers of the following function in increasing order. F(x) = x^{4/5}(4x - 16)^2

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Record the following transactions in good form as discussed in class. Example: On April 1, Daily Company purchased inventory from a supplier $20,000 paid in cash. Date Account Titles Debit Credit April 1 Raw Materials Inventory 20,000 Cash 20,000 On April 11, Daily Company transferred $15,000 of raw materials to the factory; $8,000 of the raw materials was direct and $7,000 of the raw materials was indirect. Date Account Titles Debit Credit On April 30, Daily Company paid the manager of the sales force her monthly salary of $20,000 in cash. Date Account Titles Debit Credit On April 30, Daily Company applied manufacturing overhead of $2,500 to completed jobs. Date Account Titles Debit Credit

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Q1. A rod subject to an axial load (Fig. 4a) will be deformed, as shown in the stress-strain curve in Fig. 4b. The area under the curve from zero stress out to the point of rupture is called the modulus of toughness of the material. It provides a measure of the energy per unit volume required to cause the material to rupture. As such, it is representative of the material's ability to withstand an impact load. Use numerical integration to compute the modulus of toughness for the stress-strain curve seen in Fig. 4b. then, develop a MATLAB code to compute the modulus of toughness for the same curve (a) s, ksi e S 0.02 40.0 0.05 37.5 0.10 43.0 Rupture 0.15 52.0 60 0.20 60.0 0.25 55.0 40 20 Modulus of toughness 0 0.1 0.2 e (b) Fig.4 a) A rod under axial loading and (b) the resulting stress-strain curve where stress is in kips per square inch ($10^3$ lb/in$^2$) and strain is dimensionless.

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QUESTION 6 The maximum distance from Earth to everyone's favorite dwarf planet, Pluto, is 7.5 billion kilometers (or 7,500,000,000 km). If a spaceship traveling from Earth reaches a speed of 40,500 kilometers per hour and maintains it, how many years would it take to reach Pluto? Round your answer to the nearest hundredth. QUESTION 7 The Big Falcon Rocket (BFR or Starship) from Space X can carry approximately 220,000 pounds. If they only carried $20 bills, how much money can they carry? Use the fact that a $20 bill weighs 0.9 grams and 1 pound = 453.592 grams.

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? (2 marks) Given the following algorithm to find the max element from an array. int arrayMax (int [] data) { int n=data.length; int currentMax=data[0]; for (int j=1; j<n; j++) if (data[j]> currentMax) currentMax=data[j]; return currentMax; } ? What is the complexity of the algorithm in Big Oh notation? ? How many times the assignment statement currentMax = data[j] is executed on average?

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megan s.