(2) (c) Show that x – ‚ for x . (2) (d) Find expressions for f′(x) and f″(x). Hence describe the behaviour of the graph of f at the origin and justify your answer. (8) (e) Sketch a graph of f‚ showing clearly the asymptotes. (3) (f) Justify that the inverse of f is defined for all x and sketch its graph. (3) (Total 20 marks) 6. Let f be a function with domain that satisfies the conditions‚ f(x + y) = f(x) f(y)‚ for all x and y and f (0) ≠ 0. (a) Show that f (0)
Premium Maxima and minima Orders of magnitude
classification and participation) Carlene (compilation‚ Exposition of an abtract term) Richard (summary exposition) Arol (The essay) Justine (comment and criticism) Julian (Planning the exposition) Sheila (Exposition of an abstract term) Mark (Character sketch) Jud (Comparison and contrast) Robin (Exposition of a process) Exposition Explaining something‚ making ideas clear‚ analyzing character or situation‚ definition‚ giving direction‚ and It appeals to understanding. PLANNING THE EXPOSITION: Expository
Premium Person Writing Subject
INTERATOMIC BONDING‚ CRYSTAL STRUCTURES 1. Specify the type of atomic bonding for each of the following materials: a. Magnesium oxide (MgO) b. Tungsten (W) 2. Describe the types of primary bonds and differentiate between these primary bonds. 3. Sketch the bonding between Mg and O and identify the possible properties for the elements. Given the atomic number for Mg and O are 12 and 8‚ respectively. 4. Briefly describe the principal types of bond which exist between Fe atoms and discuss the influences
Premium Iron Materials science Crystal structure
| 1 CORRECT | | Which coordinate system uses two angles and one distance? | | | A) | world | | | B) | spherical | | | C) | local | | | D) | cylindrical | | | | | | | | 2 INCORRECT | | Which coordinate system uses two distances and one angle? | | | A) | world | | | B) | spherical | | | C) | local | | | D) | cylindrical | | | | | | | | 3 INCORRECT | | If you are going to create a tangent arc between two arcs that cannot intersect
Premium Analytic geometry Orthographic projection
SAMPLE PROBLEMS: . Simple Machines – Lever A first class lever in static equilibrium has a 50lb resistance force and 15lb effort force. The lever’s effort force is located 4 ft from the fulcrum. Sketch and annotate the lever system described above. | What is the actual mechanical advantage of the system? Formula | Substitute / Solve | Final Answer | | | AMA = 3.33 | * Using static equilibrium calculations‚ calculate the length from the fulcrum to the resistance force
Premium Mechanical advantage Force Torque
month are £10000 and the unit variable costs £9 (a) Find the level of output for which total costs are the same for the two processes. (b) If the selling price is £15 per unit‚ find the break- even point for each process. c) Sketch a graph of the two cost equations on the same pair of axes and advise the firm as to when they should use A and when they should use B. 4. A company wishes to hire a piece of machinery and estimates that it will be required
Premium Supply and demand Costs Cost
also a musician and theorist; he was inspired to create art through his obsession with music. As time passed‚ Kandinsky became one of the founders of abstraction in painting in during the early 20th century. Created on 1912‚ Kandinsky’s Skizze 160A (Sketch 160A)‚ expects viewers to respond emotionally and spiritually. He uses colors‚ lines‚ and marks to enact vibration in the viewer’s souls. The artwork is painted on a 949cm x 107.9cm x 1.27cm canvas‚ using dry media: oil pastels as the main drawing
Premium History of painting Painting Western painting
information 3. Then find the estimate of the population of the world today. 4. After that click on data access. 5. Find the country that was assigned 6. Then click on the year 2000‚ and sketch the histogram. 7. Then click on the year 2025‚ and sketch the histogram 8. Then click on the year 2050‚ and sketch the histogram 9. Repeat steps 5-8 for the second country that was assigned 10. Now click on demographic indicators 11. Copy the appropriate information needed to fill in the chart for 2000
Free Population Demography
would always entertain and illustrate my wildest imaginations‚ from Dinosaurs to dragons to James Bond‚ the mind of that Pre-Schooler seemed to never rest. But one day my mom did something new‚ she gave me the paper and pencil‚ and I would sketch‚ sketch and sketch until the days came to end. And by the time kindergarten came around I was already enthused with art‚ oozing a new love of painting‚ a love that still reigns supreme today. I find painting to be my favorite medium. Something I truly wish
Premium
the technology that will be needed to provide life support to the astronauts and to keep them safe for their long journey. In addition‚ you may also make a detailed sketch of the spacecraft and its components that you will submit to your teacher for grading. You may create a sketch by hand and photograph it or create a digital sketch using appropriate software. (6 points) The spacecraft that I and other adventurous explorers will use to travel to my destination will be shaped like a normal delta
Premium Mars NASA Space exploration