Mathematics 1225A/B Study Guide - Final Guide: Saddle Point, Maxima And Minima, Lagrange Multiplier

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8 Feb 2013

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Note: your answers to the problems in part a must be. Only the (scantron) answer sheet will be marked for part: extra time will not be given for coding answers at the end of the exam. If log3 x log3 x2 = 2, nd x. Find the slope of the tangent line to the graph of y = e2x at the point where x = ln 3. 8x 11 (x 2)(x 1) 4(cid:19) + c b: 3x3(x ln x 1) + c c: 12x4(ln x 1) + c. Determine which one of the following integrals represents the area of the region bounded by y = x2 and y = 4. Find the area of the region bounded by y = x2. Find the volume of the solid of revolution obtained by rotating the region bounded by y = x, y = 2 and x = 0 about the x-axis.

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Please solve A1 and A2

Lines that form right angles at their point of intersection. A five-sided polygon. A round figure whose surface is at all points equidistant from the center. A geometric figure having three line segments for sides. A quadrilateral where each angle is a right angle. An equilateral parallelogram. The distance around a geometric figure. A segment with end points on the circle. A chord of a circle that contains the center of a circle. A segment joining the center of a circle to a point of the circle. Algebra A extremes B. graph C. numerical order D. range E ranking F. variable G. exponent H algebra A letter that is used in place of a numeral. The branch of mathematics that uses letters, called variables, in places of numerals. The n in X" indicating the number of factors of X. Data in order from smallest to largest or vice-versa. A pictorial representation of data. The two outer terms of a proportion. The difference between the greatest and least numbers in a list of data. Data organized in ascending or descending order. Practical Test Solve each problem below. You may use a piece of scratch paper to work your problems. You do not have to turn in your work sheet. Write only the answer in the space provided for each question. Write the number for six million, four hundred thousand, nine hundred twenty seven. _____________________________________ Robert bought a used automobile for $1, 500.00. If the sales tax is 5%, what will be the total that Robert had to pay for the automobile? __________________ Solve 2/3 + 4/6 ______________ What is the perimeter of a triangle which sides measure 6, 8, and 10 inches? _________________ What would be the radius of a circle with a diameter of 8 inches? _________________ Solve 2x + 3 = 9, x= ____________ What is the area of a rectangle with a width of 12 feet and a length of 10 feet? ____________ Using the fraction 4/6, which number is the denominator? _____________ What percent of one U.S. dollar is $.25? ____________ Tom, Bill, Susan, and Sandy went bowling. Tom's score was 132, Bill's score was 140, Susan's scored 145 and sandy's score was 128. What was the average score of all four bowlers? __________ A dress that sells for $50.00 now has a 10% discount marked on the tag. How much will you save off the regular price of the dress? ____________ Sam bought a pair of socks for $2.95 and a tie for $7.50. He gave the cashier a twenty dollar bill. How much change should Sam receive from the cashier? _____________ A cube measures 3 inches on all of it's sides. What is the volume of the cube in inches? ______________ Canned corn is on sale at the grocery store, three cans for a dollar. Another brand is only $.30 per can, which is the better buy? ____________ Your paycheck each week is $500.00. If you want to save $2,000.00 dollars in one year, how much should you set aside from your paycheck each week? _______________

Mathematics 1225A/B Study Guide - Final Guide: Saddle Point, Maxima And Minima, Lagrange Multiplier

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