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?
This is a calculus question. You would need to use an integral.
No. He invented calculus. He did, however, study geometry.
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.
Okay. ---- Hey, a lot of people don't seem to realize that "calculus" doesn't mean "difficult questions" or "answer please, oh smart people".
Arthur E. Bryson has written: 'Dynamic optimization' -- subject(s): Control theory, Mathematical optimization, Calculus of variations
No, the original SAT test does not have calculus. The SAT Subject Test for Math 2 also does not have calculus.
because your questions suck, capic.
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)
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.
Yes, calculus is used in computer science for tasks such as analyzing algorithms, modeling complex systems, and optimizing performance. It helps in understanding concepts like rates of change, optimization, and approximation, which are essential in various areas of computer science.
Determining the "hardest" calculus problem is subjective and can vary depending on individual strengths and weaknesses. However, some commonly challenging calculus problems involve intricate applications of multiple calculus concepts, such as optimization, related rates, or advanced integration techniques. Problems that require a deep understanding of calculus principles, creativity in problem-solving, and the ability to apply various strategies tend to be considered the most difficult.
If an examination paper has 10 questions and consists of six question in algebra, the other four questions could be geometry, calculus, or trigonometry.