initially,
a=10m
perimeter=6a=60m
after scaling,
a=2m
hence,perimeter=12m (decreases 5 times)
(decreases 25 times)
Page 626627 Monitoring Progress and Modeling with Mathematics In Exercises 3-10, describe how the change affects...
change n Question 1 (1 point) Describe how multiplying all the linear dimensions by 4 affects the surface area of the prism. 7 in 7 in. 12 in. The surface area is multiplied by Blank 1: Next Page
7-19 DEO Finding Numbers In Exercises 5-10, find E u two positive numbers that satisfy the given DEP requirements 5. The sum is S and the product is a maximum. 6. The product is 185 and the sum is a minimum. 7. The product is 147 and the sum of the first number plus three times the second number is a minimum. 8. The sum of the first number squared and the second number is 54 and the product is...
Engineering Mathematics 1 Page 3 of 10 2. Consider the nonhomogeneous ordinary differential equation ry" 2(r (x - 2)y 1, (2) r> 0. (a) Use the substitution y(x) = u(x)/x to show that the associated homogeneous equation ry" 2(r (x - 2)y 0 transforms into a linear constant-coefficient ODE for u(r) (b) Solve the linear constant-coefficient ODE obtained in Part (a) for u(x). Hence show that yeand y2= are solutions of the associated homogeneous ODE of equation (2). (c) Use...
Please explain every step as clearly and detailed as possible. B Frequency Response Modeling Frequency response modeling of a linear system is based on the premise that the dynamics of a linear system can be recovered from a knowledge of how the system responds to sinusoidal inputs. (This will be made mathematically precise in Theorem 13.) In other words, to determine (or iden- tify) a linear system, all one has to do is observe how the system reacts to sinusoidal...
Date Laboratory Exercises Using a molecular modeling kit, construct models of each of the compounds in the tables below. Complete the following three tables by first drawing a simple sketch of the molecule showing which atoms are attached to each other, the number of bonds between each pair of atoms, and any nonbonding electrons. Then, draw the molecule again showing the actual shape and the angles between the atoms as accurately as you can. The first one has been completed...
Dont know how to find wetted perimeter and area 3. The following Figure shows a liquid-to-air heat exchanger in which air flows at 50 m/h inside a rectangular passage and around a set of five vertical tubes. Each tube is a 1/2-in steel tube with a wall thickness of O. 049 in. The air has a density of 1.15 kg/m3 and a dynamic viscosity of 1.63 x 105 Pa.s. Compute the Reynolds number for the air flow. All dimensions in...
The rate of change (RoC) function, raf) in the figure below describes how water in a jug changes over time. 1. The point (8,7) is on the graph of feff). Interpret the meaning of this in context tme 2. Describe how the volume of water in the jug changes over time. Estimate the change in volume between 8 and 10 minutes, using rate of change reasoning Show all work and explain your reasoning. 3. The rate of change (RoC) function,...
Pólya's Principle Step 1: Understand the Problem 1. Describe in detail what you understand the problem to be. In other words, what problem will you need to solve? Is there enough information to enable you to find a solution to your problem? Show your work here: (10 points) 2. Discuss different ways to construct the room that will be painted. Are there any restrictions on where the window and door will be located? Will the overall amount of paint that...
Describe how to do a serial dilution of a 1 x 10-3 M solution to obtain 1 L of a 1 x 10-9 M solution. Please include necessary volumes and equipment that would need to be used in a lab.
Thanks ahead of time!!! Problem 2: Modeling inseet population dynamies The use of arrays and matrix algebra are ideal for modeling population dynamics of organisms. If n) is computed from represents the number of organisms at time t, then the number at a later time, t+1, can be n(t+1) An(t). The array (vector, n) consists of the nurnber of females in each age class, and the array (matrix, A), called a Leslie matrix, is the survival- replacement matrix. Multiplying the...