2 First-Order Differential Equations Exercises 2.1 1. y 2. y y x t x t 3. y 4. y y x x t 5. y 6. y x x 7. y 8. y x x 17 Exercises 2.1 9. y 10. y x x 11. y 12. y x x 13. y 14. y x x 15. Writing the differential equation in the form dy/dx = y(1 − y)(1 + y) we see that critical points are located at y = −1‚ y = 0‚ and y = 1. The phase portrait is shown below. -1
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Why It Couldn’t Be The short story Cold Equations by Tom Godwin takes place on a ship called EDS. The space cruiser is piloted by a man named Barton. He has an order of killing the stowaway who snuck onto the ship because the weight on the EDS is too much for the ship to handle. In the process of hunting down the stowaway‚ he realizes it was a young innocent girl named Marilyn. Once Barton understands what kind of person Marilyn is‚ he doesn’t kill her immediately because he knows her reasons were
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How does the COR affect different types of sports balls bounce on different types of surfaces? AIM the aim of this experiment is to find out how the COR (coefficient of restitution) of 3 balls (tennis ball‚ snooker ball and ping pong ball). FORMULA USED FOR COR GPE (after) = KE (after) GPE (before) = KE (before) mxgxHr = ½ x mx Vout² mxgxHd ½ x m Vin² Hr = Vout² Hd Vin² APPARATUS meter stick‚ tennis ball‚ ping pong ball‚ snooker ball‚
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1. Cost of goods manufactured will usually include: A. only direct labor and direct materials costs. B. some costs incurred during the prior period as well as costs incurred during the current period. C. only costs incurred during the current period. D. some period costs as well as some product costs. 2. During the month of August‚ direct labor cost totaled $13‚000 and direct labor cost was 20% of prime cost. If total manufacturing costs during August were $88‚000‚ the manufacturing overhead
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formulas for: a. 75.69% C; 8.80% H; 15.51% O; MW = 206 b. 59.0% C; 7.1% H; 26.2% O; 7.7% N; MW = 180 1. Write (a) complete-formula equation‚ (b) ionic equation‚ (c) net ionic equation for this neutralization reaction: KHSO4 (aq) + NaOH (aq) → ? 2. In each of the following cases‚ predict whether a reaction will occur‚ and‚ if so‚ write the net ionic equation for the reaction: a. ZnSO4 (aq) + BaS (aq) → ? b. NaHCO3 (aq) + Ca(OH)2 (aq) → ? 3. Assign an oxidation number to each atom in: a.
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Basic equations of fluid statics | | | | | | | | | | | | | | | | An equation representing pressure field P = P (x‚ y‚ z) within fluid at rest is derived in this section. Since the fluid is at rest‚ we can define the pressure field in terms of space dimensions (x‚ y and z) only. Consider a fluid element of rectangular parellopiped shape( Fig : L - 7.1) within a large fluid region which is at rest. The forces acting on the element are body and surface forces. | | Body force
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Chapter 7 Variable Costing: A Tool for Management Solutions to Questions 7-1 The basic difference between absorption and variable costing is due to the handling of fixed manufacturing overhead. Under absorption costing‚ fixed manufacturing overhead is treated as a product cost and hence is an asset until products are sold. Under variable costing‚ fixed manufacturing overhead is treated as a period cost and is charged in full against the current period’s income. 7-2 Selling and administrative expenses
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In the poem “An Equation for My Children” by Wilmer Mills‚ the speaker wants to find out the relationship between his family life and mathematics. Initially‚ the speaker reveals his fascination with Pythagoras’ work‚ which inspired him to go on a quest to finding out how his family life revolved around Pythagoras’ complex theorems. Along the way‚ the speaker finds his investigation so elusive that it feels as if he asked Pythagoras himself to calculate the mathematical equation of a “music tuning
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Determine Value of R Lab 3 Report must be typed and submitted to Turn it in by Wednesday Sept 24th 11:59pm. Title +1 Purpose +1 Procedure +2 Data Table +4x Balanced Chemical Equation +2 Calculations Calculate R for each trial and then average. +5 Calculate % error +2 Type and Answer Discussion Questions +8 Additional Questions for Calculating the R Lab 1. One mole of hydrogen gas has a mass of 2.02 g. Use your value of molar volume to calculate the mass of one Liter of
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Balancing Chemical Equations Answer Key Vocabulary: coefficient‚ combination‚ compound‚ decomposition‚ double replacement‚ element‚ molecule‚ product‚ reactant‚ single replacement‚ subscript Prior Knowledge Questions (Do these BEFORE using the Gizmo.) [Note: The purpose of these questions is to activate prior knowledge and get students thinking. Students are not expected to know the answers to the Prior Knowledge Questions.] The scouts are making s’mores out of toasted marshmallows‚ chocolate
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