Numerade

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integrate the function \int 3x^(2)\sqrt(x^(3)+4)dx using substitution, finding the most general antiderivative. Also enter u, the fucntion of x that you substitute

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3. A crucial element of the science of human development is the: a. focus on all kinds of people, young and old (mature!!!) b. search for the meaning of life (see Monty Python for answer). c. focus on middle class American people. d. use of subjective methods.

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(II) The pulley in FIGURE 11.65 consists of two disks of different diameters attached to the same shaft. The rope attached to the block of mass m₁ = 1 kg passes over a smooth nail, while the block of mass m2 = 3 kg is suspended vertically from one of the disks. The moment of inertia of the pulley is equal to 0.2 kg.m^(2); r₁ = 5 cm; and r2 = 10 cm. (a) Determine the tensions in the ropes and the modulus of the accelerations of the blocks. (b) If the figure shows the blocks at the initial instant and h = 2 m, at what instant will the blocks be at the same height?

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Problem 1 (30 points). A gear reduction unit uses the countershaft shown in the figure below. Gear A receives power from another gear with the transmitted force $F_A$ applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force $F_B$ at the pressure angle shown. (a) Determine the force $F_B$ assuming that the shaft is running at a constant speed. (b) Determine the bearing reaction forces, assuming the bearings act as simple supports. (c) Draw the shear-force and bending-moment diagrams for the shaft. Make one set for the horizontal plane and another for the vertical plane. (d) At the point of maximum bending moment, determine the bending stress and the torsional shear stress. (e) At the point of maximum bending moment, determine the principal stresses and the maximum shear stress. (f) Find the factors of safety against yielding at the critical location according to MSS and DE theories. The shaft is made of steel with a yield strength of 50 ksi. (g) Repeat part (f) graphically by plotting the yield envelopes using MATLAB for both theories. The MATLAB scripts posted on D2L may be used (make necessary modifications), or feel free to write your own codes. No need to attach the codes.

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True or False: Suppose you are reading pseudocode for a program that updates a primary file with a transaction file. It would be appropriate for this program’s detail loop to begin with a nested if-else decision structure that takes one of three actions depending on whether the value of the key field in the transaction file record being examined is equal to, greater than, or less than the value of the key field in the primary file record being examined.

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Homework 7 Chapter 12 Problem 12.4 - Enhanced - with Hints and Feedback Part A An 18-cm-long bicycle crank arm, with a pedal at one end, is attached to a 20-cm-diameter sprocket, the toothed disk around which the chain moves. A cyclist riding this bike increases her pedaling rate from 60 rpm to 84 rpm in 15 s. Assume constant angular acceleration. What is the tangential acceleration of a tooth on the sprocket? Express your answer with the appropriate units. Submitted Answers ANSWER 1: $a_t = 0.0452 \frac{m}{s^2}$ ANSWER 2: $a_t = 0.03 \frac{m}{s^2}$

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By letting t=t, show that the solution to the SchrÃ¶dinger equation is given by xt=xe^(-iEt/) and satisfies the Time-independent SchrÃ¶dinger Equation.

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Simplify the following expression to a minimum sum of products by algebraic process. A+B(C'+D)

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Exercisel You have a put option on Toyota shares at an exercise price of $10. The option will expire (You own a put option on Toyota stock with a strike price of $10. The option will expire in exactly six months' time). Question 1: If the stock is trading at $8 on the market in six months, what will be the gain from the sale? (If the stock is trading at $8 in six months, what will be the payoff of the put?) Question 2: If the stock is trading at $23 in six months, what will be the payoff of the put? Question 3: Draw a gain chart showing the value of the put at expiration as a function of the share price at expiration. (Draw a payoff diagram showing the value of the put at expiration as a function of the stock price at expiration).

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QUESTION 21 When there is an increase in demand in the market, producers in the short run a. Can build a larger plant to increase production b. Can increase their output to maximum capacity by operating more hours c. Can increase their maximum capacity as the factors of productions are no longer fixed d. Cannot increase their output at all QUESTION 22 Under the marginal approach, a firm in a pure competition market will always operate at a. MR>MC b. MR and MC has no relationships c. MR = MC d. MR<MC

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luis f.