Each of Exercises 5–8 shows a complex rational expression and the first step taken to simplify that expression. Indicate for each which method is being used: (a) using division to simplify (Method 1) or (b) multiplying by the LCD (Method 2)
__________
Want to see the full answer?
Check out a sample textbook solutionChapter 6 Solutions
ELEMENTARY&INTERMEDIATEALGEBRA>CUSTOM<
- Can you help me solve 15? Theorem 1 says that a_n= f(n).arrow_forwardThe average pollen count in a certain city on day x of the pollen season is P(x)=8x − 0.2x2 (for 0 < x < 40). On which day is the pollen count highest?arrow_forwardThe average pollen count in a certain city on day x of the pollen season is P(x) = 6x − 0.2x2 (for 0 < x < 30). On which day is the pollen count highest?arrow_forward
- Find the coefficient of X^35 in the generating function (x^4+x^5+x^6+x^7+x^8)^5 (Show work and leave final answer in C(n,r) form.)arrow_forwardWhat is the end behavior for this fucntion... X^3-4x^2+7arrow_forwardFind the expression of 1/(2+5x)3 , magnitude of 5x/2 < 1, in ascending powers of x up to and including the term in x2 , giving each coefficient as a fraction in its lowest formarrow_forward
- find a rational function which satifies all of the given conditions.arrow_forwardA museum contains a large pendulum. Due to air resistance and friction, each swing of the pendulum is a little shorter than the previous one. Suppose the first swing of the pendulum has a length of 25,000 mm and each return swing loses 4% of its length until eventually the pendulum comes to a complete stop. Answer parts A, B, C, and D and if necessary, round to the nearest tenth of a millimeter. A. Let 'n' be defined as the number of swings the pendulum travels. Define 'a1' and 'r' (these are used in the explicit formula.) Write a geometric sequence in summation (Sigma) notation to express the total distance that the pendulum will have traveled after 30 swings. Sigma notation will have a lower limit, an upper limit, and an explicit formula. Do not compute the sum. B. Use the summation formula to find the total distance the pendulum swings. C. Using information from part A, write a geometric series in summation (Sigma) notation to express the total distance that the pendulum will have…arrow_forwardIn what situation should long division be used before attempting to decompose a rational expression into partial fractions?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage