through the point with coordinates (2‚ 1). What is the perpendicular distance from the origin to the line with equation ? 3) Solve the inequality 2 4)Consider the vectors a = i − j + k‚ b = i + 2 j + 4k and c = 2i − 5 j − k. (a)Given that c = ma + nb where m‚ n ‚ find the value of m and of n. (5) (b)Find a unit vector‚ u‚ normal to both a and b. (5) (c)The plane 1 contains the point A (1‚ –1‚ 1) and is normal to b. The plane intersects the x‚ y and z axes at the points L‚ M and N respectively
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Electronics Society SPACE VECTOR MODULATION –An Introduction == Tutorial at IECON2001== Dorin O. Neacsu Correspondence Address: Satcon Corporation‚ 161 First Street‚ Cambridge‚ MA 02142‚ Email neacsu@earthlink.net I. INTRODUCTION Space Vector Modulation became a standard for the switching power converters and important research effort has been dedicated to this topic. Tens of papers‚ research reports and patents were developed in the last ten years and the theory of Space Vector Modulation is already
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Computer as a tool Nicholas O. Williams Raster Images vs. Vector Images Assignment: Discuss the differences‚ advantages and disadvantages. There are two major types of images used by graphic design programs‚ they are called Vector and Raster images. This paper will seek to highlight the many differences‚ advantages and disadvantages respectively. Raster images are complex renderings made up of thousands of little dots or pixels. The word raster has its origin in Latin which means ‘rake’
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Vector aeromotive corporation case study Vector Aeromotive Corporation was a company which designed‚ manufactured and sold exotic sports cars. Vector was the only U.S.-based manufacture of exotic sports cars‚ and his major competitors were Ferrari and Lamborghini. Gerry Wiegert is the President and founder of this company. In 1987‚ the board of directors was formed with three directors. This case shows events happening between the board and President Gerry. In March 1993‚ the company’s financial
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the river to the tanks. To minimize the cost of the pipeline‚ how far from the refinery should P be located? (Round your answer to two decimal places.) 1 year ago Report Abuse Colorado... Best Answer - Chosen by Voters This is a min-max calculus problem‚ where we want to minimize the cost function: We need a drawing of the situation: see https://docs.google.com/drawings/d/1PvkU… where R is the refinery‚ O will be the x-axis origin‚ P is the point on the north bank‚ and x= distance
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Integration in the Medical Field Calculus is a very versatile and valuable tool. It is a form of mathematics‚ which was developed from algebra and geometry. It is made up of two interconnected topics‚ differential calculus and integral calculus. Last week‚ my teacher was talking about the benefits of using Integration in daily life. She encouraged us to think about what we will do in our profession and to find examples of the application of calculus concepts. It made me wonder if there is
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Abstract The experiment was about the resolution of vector quantities using different methods or techniques. Among those are the Parallelogram‚ Polygon‚ and the Analytical or Component methods. Using each method‚ it was found out that Component method is the most accurate as its approach is purely theoretical‚ that is‚ all other physical factors are neglected leaving only the appropriate ones to be calculated. In addition‚ properties of these quantities such as associativity and commutativity
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RASTER AND VECTOR GRAPHICS QUESTIONS Find the answers to the questions below by clicking on each link. Save this in your Obj 201 folder. * http://www.logodesignworks.com/blog/vector-graphics-and-raster-graphics-difference 1. What types of programs are usually used to generate Vector Graphics? You can draw it or you can use Adobe Illustrator. 2. What are Vector Graphics composed of? Pixels 3. Does scaling a Vector drawing harm it? No. It will keep the quality the same
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Maxima and Minima First Derivative Test 1) We are given the function First‚ we find the derivative: We set the derivative equal to 0 and solve: Since the domain of f is the same as the domain of f’‚ 4 is the only critical number of f. Testing: x < 4 | f’(0) = -8 | f is decreasing | x > 4 | f’(5) = 2 | f is increasing | By the First Derivative Test‚ x = 4 is a local minimum. 2) We are given the function First‚ we find the derivative: We set the derivative
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X 410 “Business Applications of Calculus” PROBLEM SET 1 [100 points] PART I As manager of a particular product line‚ you have data available for the past 11 sales periods. This data associates your product line’s units sold “x” and total PROFIT “P” results for these sales periods. Product Red03 Units [x] Profit [P] 10 20 100 130 190 240 300 320 380 430 500 -33986 -31792 -9200 790 21418 37728 54000 58208 65840 65050 50000 1 Section A: 1st Order Model
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