LINES AND PLANES IN SPACE PLANE – is a surface such that if any two points on it are joined by a straight line‚ the line lies wholly on the surface. POSTULATE 1. Through three points not on the same straight line‚ one and only one plane can be passed. A plane is determined by any of the following conditions: 1. Three non-collinear points; 2. A line and a point not on the line; 3. Two intersecting lines; or 4. Two parallel lines. POSTULATE 2. If two planes meet
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When calculus was invented‚ has always been a question in Math. The first signs of calculus were done by Greek mathematicians. Zeno of Elea of about 450 B.C. gave a number of problems which were based on the infinite. His argument was that motion is impossible. Other Greek mathematicians that contributed to the method of exhaustion are Leucippus‚ Democritus and Antiphon. The method of exhaustion is so called because one thinks of the areas measured expanding so that they account for more and more
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2. CheckPoint Cost‚ Volume‚ and Profit Questions 7. How should mixed costs be classified in CVP analysis? What approach is used to effect the appropriate classification? The mixed costs must be broken down into fixed and variable elements. After that is done then one needs to gather the information of the activity of the variable element in order to show the high end use and the low end use. It is important to separate these costs because the fixed cost will never change but the variable cost
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Aim To work out how light intensity can affect the rate of photosynthesis. Hypothesis I think that the further away the light source is the smaller the rate of photosynthesis is. This is because there is a further distance for the light to each the plant in order for it to photosynthesise. Although the closer the light source is‚ the more photosynthesis‚ the light source could also kill or damage the Elodea (type of pondweed) because it could become too hot and denature its cells. But because
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COMPUTATIONAL FLUID DYNAMICS (MKM411) Dr. M. Sharifpur mohsen.sharifpur@up.ac.za April 2nd Department of Mechanical and Aeronautical Engineering University of Pretoria 2013 Test 1 Perusal Friday April 5th 12:00 to 14:00 CFD Training Courses The schedule is already posted on clickUP (find your group in the clickUP) ANSYS-FLUENT (Group1) FLoEFD ANSYS-FLUENT (Group2) STAR CCM+ (Group 1) STAR CCM+ (Group 2) April 3rd 9:00-17:00 April 10th 9:00-17:00 April 11th 8:00-10:15 and then 11:30
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1. Two of your friends‚ Matt and Karen‚ both run to you to settle a dispute. They were working on a math problem‚ and got different answers. Wisely‚ you decide to look at their work to see if you can spot the source of confusion. Matt 6 – 4(3 – 5)2 + 30 ÷ 5 6 – 4(–2)2 + 30 ÷ 5 6 – 4(4) + 30 ÷ 5 6 – 16 + 30 ÷ 5 −10 + 30 ÷ 5 20 ÷ 5 4 Karen 6 – 4(3 – 5)2 + 30 ÷ 5 6 – 4(–2)2 + 30 ÷ 5 6 – 4(−4) + 30 ÷ 5 6 + 16 + 30 ÷ 5 6 + 16 + 6 22 + 6 28 Explain to Matt and Karen who‚ if either‚ is correct‚ and identify
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EM6 INTERNAL RESISTANCE AND EMF OF A BATTERY CELL DCP ASPECT 1 SYMBOLS: Internal resistance of the battery: r External variable resistor: R Voltage: V EMF of the battery: E Current: I FORMULA V= IR E = I (R+r) E = IR +I ⋅ r E = V + I ⋅ r V = E - I ⋅ r V = -r ⋅ I +E _Graph of V against I will be plotted in order to_ _determine the internal resistance and EMF of the battery. The slope will be -r and the intercept vertical axis will be the EMF (E)._ REFERENCE VALUE EMF of the battery
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Experimental Errors and Uncertainty Data: The data table that follows shows data taken in a free-fall experiment. Measurements were made of the distance of fall (Y) at each of the four precisely measured times. Time‚ t (s) Dist‚ y1 (m) Dist‚ y2 (m) Dist‚ y3 (m) Dist‚ y4 (m) Dist‚ y5 (m) <y> σ t2 0 0 0 0 0 0 0.5 1.0 1.4 1.1 1.4 1.5 0.75 2.6 3.2 2.8 2.5 3.1 1.0 4.8 4.4 5.1 4.7 4.8 1.25 8.2 7.9 7.5 8.1 7.4 Procedures From the above data perform the following Tasks. Task 1. Complete
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Name: ____________________________ CHEM 420 Exam 1 Fall 2013 Dr. David Hodapp Read and sign the CRC Honor Code on the next page before starting the exam. Answer all essay questions using complete sentences and proper spelling‚ punctuation‚ and grammar. Points Multiple Choice 34 Matching 12 Fill-In 14 Problems/Essay Questions 90 Total 150 o G = -RT(lnK ) = -2.303RT(log K ) 10 eq k r Ae eq Ea / RT 1 Cosumnes River College Honor Code*
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Experiment 7: Deflection of beams (Effect of beam length and width) 1. OBJECTIVE The objective of this laboratory experiment is to find the relationship between the deflection (y) at the centre of a simply supported beam and the span‚ width. 2. MATERIALS - APPARATUS Steel Beams‚ Deflection measuring device‚ 500g weight 3. INTRODUCTORY INFORMATION The deflection of a beam‚ y‚ will depend on many factors such as: - The applied load F (F=m•g). The span L. The width of the beam b‚ and
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