I am working on the differential equation (dx^2)/(dt^2) + dx/dt + x =sin (ωt) I have found the general solution of m^2+m+1=0 which is x=e^(-1/2)t(Acos((sqrt3)/2)t+Bsin((sqrt3)/2)t I am looking for a particular integral that satisfies the differential equation so as to obtain the general solution I am finding great difficul
Gina wants to invest a total of $30000 into two savings accounts, one paying 6% per year and the other paying 9% per year (more riskier) in interest. After 1 year she wants a total interest to be $2100. how much should she invest in both?
a. Solve 0 < x + 5 less than or equal to 8 for x. Express your answer using a line graph and in interval notation. b. (5/3x-7) less than or equal to 2. c. Solve for x: | x - 1 | = 3 d. Sketch the graph of the function y = | x - 1 | and use your graph to indicate your solution of part c
The winner of a school election is announced after school at 4:00 p.m. one student call 2 friends before 4:15 p.m., telling the name of the winner. Before 4:30 p.m., those 2 people call 2 more students and tells them the name of the winner. Before 4:45 p.m. each new student who has been notified call 2 more people telling them n
Find the x- and y-intercept of the linear equation 4x + 3y = 12. Write each intercept as an ordered pair. In the Cartesian or Rectangular coordinate system, which is the horizontal axis and which is the vertical axis? Explain what is meant by x- and y- intercept.
Problem #1 The starting salaries for teachers in Broward County for selected years are given in the table. Use this information to answer the questions below. Show work for all calculations and give clear concise explanations to all questions. School Year Starting Salary 1995 2000 2005 *2014 *Projected
1. Given the equation y+5 = -2(x-3). find the slope and a point on the line 2. Determine the equation of the line, in slope- intercept form that is parallel to 5x+4y = -3 and contains (-8,9) 3. Find the equation of the line through the point (-2,6) and perpendicular to y= (3/5)x -2 4. Use the graphing method to find
A downtown employee is looking for the best option for parking a car during an 8-hour workday. One parking garage offers unlimited parking at a $120 per month. Another garage offers an hourly rate of $2.50 for parking. Draw a graph comparing the two parking plans. Under what circumstances would the monthly plan be cheaper? Unde
FULLY complete both parts B and C. - Also use sentence form. - All info is in the Documents, complete all that is asked by showing work- i need to know how you came up with the answers you did. - label and define parts in needed.
Palmiero Co. is building a new hockey arena at a cost of $2,000,000. It received a down payment of $500,000 from local businesses to support the project, and now needs to borrow $1,500,000 to complete the project. It therefore decides to issue $1,500,000 of 10.5%, 10-year bonds. These bonds were issued on January 1, 2009, and
A step-by-step procedure is given for applying the quadratic formula to solve for x. The quadratic formula considered is as follows: x^2-x-6=0. In this example, the quadratic formula is presented accompanied by an explanation of the meaning for each term. The process is shown for assigning values to each element in the quadrat
A donut shop sells two kinds of donuts. Gourmet donuts sell for $4.15/dozen and regular donuts sell for $3.30/dozen. How many dozen of gourmet donuts must be mixed with 6 dozen of regular donuts to get a mixture that cost $3.90/dozen. I would need to round the answer to the tenths place since I couldn't buy a partial dozen. Pl
An object is close to a light source - say at a distance of x meters. Another object B is at a distance of 2.3 times x meters from the same light source or in equation from distance to B from the light source = 2.3 (x meters). Question is how many times closer to the light source is object A compared to object B? Now, I know
According to Jean Jacque Rousseau what are the origins of inequality? Kindly help outlining the main parts that could answer this question.
1. Use the intermediate value theorem to show that the polynomial function has a zero in the given interval. F(x)=x^5-x^4+7x^3-8x^2-16x+13; [1.3,1.7] Find value of f (1.3) ____ (simplify) Find value of f (1.7) ______ (simplify) 2. Information is given about the polynomial f(x) whose coefficients a
1. Solve the inequality algebraically 5x-3≥-2x2 The solution set is ____(interval notation) 2. Solve the following inequality 60x-64<60/x 3. List the potential rational zeros of the polynomial function. Do not attempt to find zeros. F(x)=11x^4-7x^3+x^2-x+1 4. Solve the equation in the real number system.
1. Form a polynomial f(x) with real coefficents having the given degree and zeros Degree 5; Zeros: 2; -i; -7+i Enter the polynomial f(x)=a(____) type expression using x as the variable. 2. Find a bound on the real zeros of the polynomial function. F(x)=x^4+x^3-4x-6 Every real zero of f lies between -____and ____ (its not
Please find my algebra questions in the file attached. They are mostly on inequalities, remainder theorem and Descartes' rule of signs among other topics.
b) Let X = {1, 2, 3} and Y = {-1, -2, -3}. Define the new set X o Y = {z: z = xy for x is an element of X and y is an element of Y}. This new set X o Y is obtained by taking products of pairs of element one from X and the other from Y. Is Y a subset of X o Y? If yes, tell me why -1 is an element of X o y, -2 is an element of X o
1. Using the given equation a) find the intercepts of its graph and b)use the intercepts to graph the equation 2x+5y=10 2. Find an equation for the line w/given properties Parallel to the line 5x-y=-10; containing the point (0,0) y=___ 3. Find the equation of a line that is perpendicular to the line y=1/9x+9 and cont
1. Find the distance d (p1,p2) between the points p1 and p2 p1=(-2,4), p2=(5,6) d(p1,p2)= 2. Find the midpoint of the line segment joining the points p1 and p2 p1=(4,3) p2=(-1,4) midpoint is __________ 3. List the intercepts and test for symmetry y= -2x^7/x^8-2 4. Find the intercepts and use them to graph the equa
1. The equation of the line L is parallel to y=5x. What is the equation for line L? 2. If (a,-2) is a point on the graph of y=x^2+3x, what is a? 3. Find the equation for the line with the given properties. Express the equation in slope intercept form. The points are P=(-1,-3) and Q=(1,-2). What is the equation of the li
9. A force of magnitude 3 units acts at the point with coordinates (1,2,3). The force is applied in the direction of the vector 3i - j + 4k. Find the moment of the force about O. Also find the moment of the force about the point with coordinate (1,2,3)
1. The voltage v across an inductor L, in LR electrical circuit drops exponentially over time t (s). The relationship is: See attached. Where the emf, E, and Ï„ are constants. Use the table of values for t and v and logarithms to plot an appropriate straight line graphs. See attached for table. Use your graph to est
A projectile is launched from a platform 20 feet high with an initial velocity of 112 feet per second, The height h of the projectile at t seconds after launch is given h= - 16t^2 + 112t +20 feet. a. How many seconds after launch does the projectile attain maximum height? b. What is the maximum height?
1) Solve equation r=sqrt(A/pi) 2) Discuss everyday objects that have shapes described by conic section. Remember, the conic sections are the circle ellipse, parabola, and hyperbola. 3) Give examples of quadratic relationship in either nature of business. Remember a quadratic relationship has the form V=a*x^2+b*x+c 4
The most common business application involving exponents is the calculation of compound interest. Let's introduce some nomenclature. PV = present value ; the money you pay into the plan today. t = the duration of an investment program, in years. FV = future value ; that is, the money you expect to have after n years.
This SLP provides some insight into the use of quadratic formulas in business and natural science. 1.A company's costs, in millions of dollars, are given by the equation, C = x2 - 3x - 27, where x is the number of items sold, in thousands. What are the costs when 1,000 items are sold? 1,500 items? 2.A company's costs, in
Show all of your work in a Word document and submit by the end of the module. 1-4: Solve by factoring: 1. 4x2 - 25 = 0 2. x2 - 12x + 36 = 0 3. x2 + 14x + 45 = 0 4. 6x2 - x - 15 = 0 5-7: Solve by completing the square. 5. x2 - 4x + 3 = 0 6. x2 + 5x - 1 = 0 7. 2x2 + 7x - 15 = 0 8-10: Solve by using the quadratic formula:
Show all your work in a Word document and submit by the end of the Module. Perform the indicated operations and simplify. (A radical in simplest terms contains no perfect squares; do not use decimals.) 1. 2 √12+ √27 2. 4 √3+ 6√75 3. 2 √y+ √(8z) 4. (√3)( √15) 5. (√8)( √12) 6. (3√y)( -2√y) 7