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    Algebra

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    Word problem with percents

    An employee's new salary is $23,100 after getting a 5% raise. What was the salary before the increase in pay?

    Word problem

    Value Rent-A Car rents a luxury car at a daily rate of $43.81 plus 5 cents per mile. A business person is allotted $100 a day. How many miles can the business person travel for $100.

    Quadratic Problem

    R2^2 -RAR2 + RBRA = 0 NOW THE QUADRATIC EQ IS - b +/- SQRT B^2 - 4AC / 2A ------------------------------------------------------------------------------------ THE PROBLEM STARTED OFF R1 + R2 = RA AND R1 = RA -R2, THEN RB = R1R2/R1+R2. EVERYTHING WAS SOLVED FOR RB UNTIL THE ABOVE ANSWER OF R2^2 -RAR2 + RBRA = 0. THE P

    Quadratic problem with variables - missing steps

    The problem is bascially done to a point. (STEP 5) Then steps are missing. I give you steps 1 to 5, then I need you to solve for R1 and R2 in terms of RA and RB. PLEASE Show all work including what I give you and show each step, each canceled term, or multiplication, or whatever. STEP 1: R1 + R2 = RA STEP2: R1 = RA -

    The Exact Homology Sequence (Exact Sequence of Triples)

    Problem: Let X = X_1 / X_2, and A = X_1 / X_2. Using the exact sequence of triples, show that if the inclusion (X_1, A) --> (X, X_2) induces an isomorphism on homology, then the same holds for the inclusion (X_2, A) --> (X, X_1). Notation: X_1 is X subscript 1 / is union / is intersection --> is an inclusion map

    Isomorphic groups

    I am trying to learn this material on my own to prepare for a future graduate course. I would like to see the solutions to this problem to have something to imitate when working other problems. Decide which (if any) of the following are isomorphic to which: (a) D3xS4 (b) D6xA4 (c) D4xD9 Dn=dihedral group of order 2n, A

    Heat Equation : Temperature Distribution on a Brass Rod

    9. The temperature distribution u(x, t) in a 2-m long brass rod is governed by the problem ...... (a) Determine the solution for u(x, t). (b) Compute the temperature at the midpoint of the rod at the end of 1 hour. (c) Compute the time it will take for the temperature at that point to diminish to 5° C. (d) Compute the ti

    Numerical Methods, 400 Undergraduate level.

    The problem is from Numerical Methods. Please show each step of your solution and tell me the theorems, definitions, etc. if you use any. If there is anything unclear in the question, let me know. Thank you. (Complete problem found in attachment)

    Polynomial word problem

    The width of a badminton court is 24 feet less than its length. Find polynomials that represent its perimeter and area. The actual length of a badminton court is 44 feet. Evaluate these polynomials to find the perimeter and area of the court.

    Classify the PDE's as Elliptic, Parabolic or Hyperbolic

    Classify the following PDE's as elliptic, parabolic or hyperbolic. If mixed, identify the regions and classify within each region. (b) xuxx - uxy + yuxy +3uy = 1 Please see the attached file for the fully formatted problem.

    Sum Identity for Tangent

    Find the exact value of the expression using the provided information. Find tan (B + C) given that sin C = 1/4, with C in quadrant II, and sin B = -1/2, with B in quadrant IV.

    Existence and uniqueness of solution

    What is the best statement that you can make about the existence and uniqueness of the solutions of the following initial value problems? (Please see attached).

    Apply Newton's Laws of Motion - Traction Force and Wheel Reactions

    See the attached file. A car has a mass of 1.4 tonne. The distance between the front and rear wheel axles is 3.6 metres and the centre of mass is positioned 1.5 metres behind the front wheel centre and 0.8 metres above the road level. These details are shown in Figure Q1 below. Figure Q 1. Car on horizontal road The car,

    Solve the Recurrence and Find the Asymptotic Bound

    1. Solve the recurrence exactly and prove your solution is correct by induction. T(1) = 1 , T(n) = 2T(n-1)+2n-1 T(1) = 1, T(n) = T(n-1)+3n-3 2. Give asymptotic bound for the following: T(n) = 9T(n/3)+n2 T(n) = T(Sqrt(n))+1.

    Lagrange's theorem

    Suppose that... Use Lagrange's Theorem Suppose that a N and a z (mod pq) where p q 3(mod 4 ) are primes. Prove that there are only four possible square roots of a modulo pq, and they are given as follows. For x,y Z given by the extended Euclidean Algorithm, such that xp +yq =1 We have Z= (xpa + yqa ),

    IV Rate Working Examples

    1. Your patient is admitted from the Emergency Department with a dopamine infusion running at 16 ml/hour. The dopamine bag is labeled as 400 mg dopamine in 500 D2W. Your patient weighs 50 kg. Calculate the dose the patient is receiving. Your answer should be in mcg/kg/minute. 2. Patient is an 18-month-old experiencing profo

    Finding a Break-Even Point : At which month will you break even?

    You are opening up a restaurant, initial cost of opening the restaurant is $80,000, plus $4,000 monthly expenses. Estimate f(x)=xsquared - x + 5 to be the anticipated monthly profit of the restaurant in hundreds of dollars during the xth month of business. To break even your total profit from the opening of the restaurant must

    Solving an Equation using a Substitution

    The formula D^2 = 4050 / i indicates the amount of illumination (i) , in foot-candles, produced by a light source relative to the distance (d) from the source. How far from the source is the illumination equal to 50 foot-candles?

    How to Create a Linear Picture

    Please provide some pointers on how to get started... Problem: Create your own linear picture Draw picture with straight lines only, then create a key with equations and restrictions for each of the lines in the picture. Must include the following: - picture drawn on graph paper - 10 lines minimum - 2 quadrants minim

    Fermat's Last Theorem Variation

    The attached question is a variation on Fermat's Last Theorem. I would be grateful to anyone able to answer and prove the answer to the following question: If a, b, c and n are rational numbers, but they are not integers, do there always exist a, b, c and n such that for n > 2?