A column of soldiers 25 miles long marches 25 miles a day. One morning, just as the day's march began, a messenger started at the rear of the column with a message for the man at the front of the column. During the day he marched forward, delivered the message to the first man in the column and returned to his position just as
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? Plese try to give a detailed response as my answer is not as important as the thought processes that I must understa
Please see the attached file for the fully formatted problems. Find a solution in the form of a power series for the equation y" - 2*x*y' = 0 (ie find 2 linearly independent solutions y1(x) and y2(x)). After doing that, note that the equation can also be solved directly by integration: y"/y' = 2x ln(y') = x^2 +
PART ONE: solve: (3n^5 w)^2 /(n^3 w)^0 A) 0 B) 9n^7w C) 6n^4w D) 9n^10w^2 PART TWO: solve: 9c^7 w^-4 (-d^2)/(15c^3 w^6 (-d)^2) A) 3c^4d^2/5w^10 B) 3c^4/5w^2 C) 3c^4/5w^10 D) -3c^4/5w^10 PART THREE: solve: 5m^-3 /6^-1 m^-2 A) -5m/6 B) 30/m C) 30m D) -5/6m PART
Please see the attached file for the fully formatted problem. Solve the algebraic equation. (x-6)^1/2 = (x+9)^1/2 - 3
Suppose the series ak (the k is subscript) converges absolutely and that the series bk is bounded. Show that the series ak*bk converges absolutely.
Factor completely 2X^2 + 21 = -17X
For which integers c, 0<=c<=1001, does the congruence 154x=c(mod1001) have a solution? When there are solutions how many incongruent solutions are there?
How do I prove the fundamental theorem of algebra by using Rouche's theorem?
PROLOG Due 7/10 NOTE: For your homework, you are not allowed to use the builtin predicate definitions. If, for example, you want to use member/2, create you own version called mymember/2 (or something). Same for append, reverse, sort, and many others.You may use any builtin numeric operators, 'is', the '[' ']' brackets f
Complete the algebra questions in attachment 1. Find the domain of the given function. 2. Reduce the given expression to lowest terms. 3. Find the solution set of the given equation. Match your result to the correct answer below. 4. Convert the given expression into an equivalent expression that has the indicated denominator
Graphing feasible regions of inequalities. In this type of problem we have to plot some graph in which we have to show feasible regions of inequalities. for example Graph the feasible region of each inequality. -2 < x < 2 y > 1 x - y > 0
Please see the attached file for the fully formatted problems. 1: Use the Euclidean Algorithm to find the Highest Common Factor of 1176 and 1960. 2: Use the rules of natural deduction to prove ((A --> (B -->C)) -->((A B)--> C)). [12 marks] 3: Use the rules of natural deduction to prove (A (B U C)) ((A B) C) [14 ma
Please see the attached file for the fully formatted problem(s). 13. Solve for x algebraically. 14. Find the vertex, focus, and directrix of the parabola given by the equation. 15. Solve the system of equations. 16. Maximize C = 6x +7y with the constraints:
Use the Rational Zero Theorem to list possible rational zeros for the polynomial: P(x) =x^3+3 x^2-6x-8 Use Descartes' Rule of Signs to determine both the number of possible positive and the number of possible negative real zeros of the polynomial. P(x) = 2 x^3 + x^2 - 25 x + 12 Use the given zero to find the remaining
Please see the attached file for the fully formatted problem(s). Practice Problems Directions: Show work to support your final result. Examples requiring mathematical work to support the result must be included, if final answer is correct but supporting work is missing. Examples that require a graph DO NOT need the gr
Solve any 6 equations/inequalities by the indicated method. If no method is indicated then you can solve either algebraically or graphically. Solution by graphing requires a sketch of the graph or a written description of the graph and where the solution lies. Solve any 6 equations/inequalities by the indicated method. If
I have a formula, known as the Bass Curve Formula, that I would like rearranged. The formula generates an S curve that initially grows slowly, then accelerates before slowing down and plateauing. (See example) I would like the formula to be rearranged to find a variable (p). Please find the attached file for a detailed e
How do I simplify: [(8x)/(3x-6)]x[(x2-4)/(2x+4)]
Given equation ln(y/x)=x^2y^2 Find dy/dx
Mary is 3 supervisor in a large office. The secretaries are constantly talking to each other. Mary 's concerned that this constant jabbering back and forth is causing low efficiency in T.e office. She decides to separate the secretaries by the greatest possible distance within the confines of the office. Your task is to decide
F(x)=-x^4+12x^3-58x^2+132x The concentration of a drug, f(x), in parts per million, in a patients's blood x hours after the drug is administered is given by the function. I need to make a graph of the following: a) how many hours after the drug is administered will it be eliminated from the patients's bloodstream b) how
Solve for x: 1.8^(2x+3) = 0.72^1/3
Please see the attached file for the fully formatted problems. Algebra problems DIRECTIONS: It is a little trickier to do online because of the graphs. For the equations/inequalities that require a graphical solution, you will have to describe what part of your graph provides the answer. If you scan in your work, then includ
Show that Log (z) is discontinuous along the negative real axis.
Solve the equation x^2 + 3x - 10 = 0 by factoring.
Word problem using Keplers third law
The sail area-displacement ratio S provides a measure of the sail power available to drive a boat. For a boat with a displacement of 'd' pounds and a sail area of 'A' square feet S = 16Ad-2/3 a) Find S for the Tartan 4100, which has a sail area of 810 square feet and a displacement of 23,245 pounds. b) So
Solve the following equation by expressly using the Quadratic Formula. (a) Start by writing the generic expression for the Quadratic Formula. (b) Identity the pertinent parts as applied to the equation below. (c) Then solve for Z via the Quadratic Formula.
Find the two solutions to the following equation by the method of "completing the square." The answers are Z = -1 and Z = 7. Your solution must show all the steps in completing the square, starting with the given equation.