Optimization is all about finding equations that involve your variables, and manipulating those equations to meet the stated constraints. The first step is to find two or more equations involving one or more of your variables. Here, we have cost and two separate lengths. Let's call the long side of each of the small congruent rectangles "l" and the short side "w." You know that you will have four of these rectangles, and because of the situation and the units you know that you will be measuring perimeter. Therefore, the sum of the perimeters of all four congruent rectangles is 4(2l+2w) or 8l+8w. I'm unclear from your question whether Ron will be using the 900 meters to form the four rectangles, or to form the rectangles and to surround them with Fencing. Can you give me more information?
No. He invented calculus. He did, however, study geometry.
This is a calculus question. You would need to use an integral.
For a quadratic function, there is one minimum/maximum (the proof requires calculus) and also it is either always convex or concave (prove is also calculus) it is continuous every where, hence, it can have a maximum of 2 roots. Graph it. If there is more than 2 roots, by Intermediate Value Theorem, it cannot be convex/concave everywhere. It will HAVE to have two intervals of increasing or decreasing. It can be easily proven that given any quadratic function f(x), if x = x0 is a minimum/maximum, and x=a != x0 is a root, then 2x0-a is also a root. It is still true that a = x0 as 2x0-x0=x0 implying it is the only root. But the concept of min/max requires Calculus to prove existence. So, this is Calculus, not algebra.
If you are referring to the course "geometry," you would want to ask your school instead of Answers.com. I took pre-calculus after geometry but that doesn't necessarily mean you will either.
ruler, protractor, pencil, paper, calculator or knowledge of calculus , think smooth think slow think even, practice or artistic ability both is better.
Arthur E. Bryson has written: 'Dynamic optimization' -- subject(s): Control theory, Mathematical optimization, Calculus of variations
Okay. ---- Hey, a lot of people don't seem to realize that "calculus" doesn't mean "difficult questions" or "answer please, oh smart people".
No, the original SAT test does not have calculus. The SAT Subject Test for Math 2 also does not have calculus.
Bernard Pagurek has written: 'The classical calculus of variations in optimum control problems' -- subject(s): Control theory, Mathematical optimization, Calculus of variations, Maximum principles (Mathematics)
because your questions suck, capic.
They both use calculus in some questions.
I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)I am not sure how it was originally obtained. In some math book I saw how a specific triangular prism could be divided into three congruent pyramids.The formulat for the volume of a pyramid, or of a cone for that matter, can be obtained quite easily with calculus. The basic idea is to divide the pyramid into thin slices, and calculate the area of each (assuming that each slice is a rectangular block). You might do an approximation in Excel. The thinner the individual slices, the more accurate the result. (Calculus uses more advanced methods, to get the result quicker.)
Alexander J. Zaslavski has written: 'Turnpike Properties in the Calculus of Variations and Optimal Control (Nonconvex Optimization and Its Applications)'
People often divide Calculus into integral and differential calculus. In introductory calculus classes, differential calculus usually involves learning about derivatives, rates of change, max and min and optimization problems and many other topics that use differentiation. Integral calculus deals with antiderivatives or integrals. There are definite and indefinite integrals. These are used in calculating areas under or between curves. They are also used for volumes and length of curves and many other things that involve sums or integrals. There are thousands and thousand of applications of both integral and differential calculus.
If an examination paper has 10 questions and consists of six question in algebra, the other four questions could be geometry, calculus, or trigonometry.
Yes. I use them a lot when answering these questions.
yes economist use math and statistics in their work. An economist uses calculus to do optimization problems and this requires a strong back ground in calculus, linear algebra is also useful for time series analysis and forecasting. So math plays a pivotal role in an economist's work.