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Symmetry: Symmetries of a Square

Please see the attached file for the fully formatted problems. ? Let S be a square, with vertices labelled (anticlockwise), 1,2,3,4. a symmetry of S is a rotation or reflection which preserves the square (although it may change the position of the vertices). Note that a symmetry is determined by its effect on the vertices.

Surface area of a right circular cylinder

The surface area of a right circular cylinder is given by the formula S= 2*PIE SIGN*rh + 2*PIE SIGN* r^2, where r is the radius of the base, and h is the height of the cylinder. Solve the formula S= 2*PI*rh + 2*PI*r^2 for h.

Complex Theorem for Continuous Anti-Derivative

Although Corollary 2 does not apply to the function 1 / (z — z_0) in the plane punctured at z_0, Theorem 6 can be used as follows to show that (see attached 1) for any circle C traversed once in the positive direction surrounding the point z_0. Introduce a horizontal branch cut from z_0 to infinity as in Fig. 4.25. In the r

Linear programming investment problem

Below problem is one that I'm drawing a blank on for even setting up the equation. Any help would be greatly appreciated. Smith recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his two children. The trust fund has two investment options: (1) a bond fund and (2) a st

Solving Equations and Square Property

Can you please see if I'am doing these equations correctly? And if I am not, then can you please explain in detail where I went wrong? Please see the attached file for the fully formatted problems.

Square Root Symbols in a Function

Here's the formula... The answer should be 4, which should be W S=10 T=5 w=4 w=33-(10 - 0.28 x S + square root of 28xS ) x ( 33 - T ) / 22.727 so.. the square root symbol was over top of 28 and S just don't know how to put that symbol in here... so.. you work from left to right... and you do what's in the ( )

Estimating with e

Which of the following expressions would help estimate Please see attachment

Cryptography : Diffie Helman Key Exchange

Alice and Bob want to do a Diffie-Helman Key Exhange. The public base is 5 and the public modulus is 11. Suppose Alice chooses a = 2 and Bob Chooses b=3. What common key did they calculate? What does the security of the Diffie Helman Key exhange depend upon?

How to Arrange a Meeting Point So Travel Distance is Minimized

Five children live in the town of Gridley which is represented by a grid of streets. On the x axis are the streets A, B and so on until Q. On the Y axis, the streets go from descending order from 15th Avenue down to 1st Avenue (in other words as you go up the Y axis, the avenues go down). So at the origin would be the intersecti

Word Problems : Relative Speed of Swimmers

(#48) Two swimmers start at opposite ends of a pool 89 feet long. One person swims at the rate of 19 feet per minute and the other swims at a rate of 53 feet per minute. How many times will they meet in 33 minutes? (#33) Two swimmers start at opposite ends of a 90-foot pool. One swims 30 feet per minute and the other at 20

Business Math : Revenue and Total Cost

The Revenue and Total Cost eqations for a glove company are R(x)=35x and C(x)=0.25x^2 + 30.5x + 10, where x is in hundreds of gloves and R(x) and C(x) are in thousands of dollars. What is the Revenue and production Cost for 700 gloves, the profit for this problem, the number of gloves that will produce the maximum profit, the

Algorithms : Finding integer values of x and y

A store offers 2 models of scooter, a $29 model and a $33 one. An order was placed with a warehouse which totalled $2490 but the details had been lost. Can you tell the order clerk howl many of each model to send to the store? I have been applying algorithm to equations and am trying to solve integer values for this problem.

Combinations : Problem Solving With Dice

Please see the attached file for the fully formatted problems. Question1: How many dots at the outer sides of the dice. Given view is from the top of these four dice? Question2: In the newly formed shaped below do you think answer is the same or different from above? What does your intuition say without investigating? Q

Discriminant and graphs

PART ONE: ATTACHED PART TWO: what type of graph is: x^2 + 3y^2 - 4x + 6y = -1 A) parabola B) circle C) ellipse D) hyperbola PART THREE: Find the value of the discriminant of the equation. Describe the roots completely. Do not solve. 3x^2 + 4x - 5 = 0 A) 31; 2 real, irrational root

Real-World Problem

In a real-world problem, what are some typical action items that you may need to do in order to get to the point having an equation to solve?