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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter2: Equations And Inequalities

Section2.1: Equations

Problem 76E

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15.4: Add and Sutact Rational Ex
CURRENT OBJECTIVE
Find equivalent rational expressions
104
Question
Rewrite as equivalent rational expressions with denominator (4d – 1)(d – 5)(d – 8):
4
5d
4d2 - 21d + 5' 4d² – 33d + 8
Provide your answer below:
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consider the rational model p(t)= 0.86t2+3.5t+365 / 0.014t2+ 0.092t+5.77 where p(t) is the percentage of voter-elegible latinos who are registerd to vote at t year since 1980. predict when 59.2% of voter eligible latinos will be registered to vote
: A plate whose shape is given by x2+y2 ≤ 1 is heated so that the tempratureT(x, y) at the point (x, y) isT(x, y) = x2 + kxy + y2,where k is a real number such that k > 2. Find the tempratures at thehottest and coldest points on the plate.
1. A car travelled a distance d = 2x2 +5x +2 / 4x2 - 4 in time t = x2 + x -2/2x2 +x-1 determine the rate of the car, where d= rt 2. Determine all values that would make the rational expression undefined. a). 2m/ (m+3) (2m-5) b). 5(x-1)(2x+3)/x2 (3x+1)(x-4)
When you plug in (0,0,0) into 7x - 5y + z = 0. It holds true, however, when you plug in (1,1,1) into 5x - 4y + 2z = 3, shouldn't the answer come out to be 0? Which verifies the problem. I tried it myself and got pi2 is equal to x + y -4z + 2 = 0 but Don't know if it's right.
Proivde general solution of the given ay'' + by' + cy = 0 and b^2 - 4ac > 0
2.2 INTEGRATION OF RATIONAL FRACTIONS 7
Consider the rational function f(x)=x−4x2+2x+14 A: write a ratio of monomial expressions that best estimates the behavior of x−4x2+2x+14 as x→±∞ Simplify your answer as much as possible. Based on your answer to part (A), what happens to the value of f(x) as x→±∞? (Hint: now your answer should be a number, ∞, −∞, or "DNE".) As x→±∞, f(x)→ Based on your answer to part (1), what is the horizontal asymptote of f ? If no horizontal asymptote exists for f, enter "DNE". y=
1. Prove by Mathematical Induction that 4+8+12+ ...+ (4n) = 2n(n+1) is true for all positive integers, n . 2. Expand and simplify (2x - 5y)3 3. Sketch the polynomial function y = x(x+1)3 (x-1)2 (x+2) 4. A rational function is given as h(x) = x/ (x-1)(x-3). Sketch the graph of h(x), showing all the intercepts and asymptotes clearly. 5. Prove the following trigonometric identity: 1/sin2x - 1/tan2x = 1 6. Express y = 6Cos(theta) + 8Sin(theta) in the form y = rSin(theta + alpha), where alpha is an acute angle in degrees. Hint : Use Sin(theta+alpha) = Sin(theta)Cos(alpha) + Cos(theta)Sin(alpha) 7. Solve 2Sin 2x - 1 = 0 for 0 <_ x <_360a . 8. A complex number is given as z =1 root 3 i .i. Express z in polar form.ii. Use De Moivre’s Theorem to find z5 . Hint: zn = rn (Cosn(theta) + iSin n(theta)) 9. Given v = 1-3i and w = -1+5i, findi. v+wii. |v| 10. A sequence an is defined by an = n+2/4n+1i. Find the first 4 terms of the sequenceii. Simplify an+1 - an and determine whether the…
This solution was very helpful. I see the part I was missing was shifting the index from n=1 to n=0, so that it is possible to create the rational function in the form a/(1-r). Is there an easy procedure to go from n=1 to n=0 without working out the terms to see what the new sum is? I have seen the generalized procedure for shifting from any n to any other n, but is there a quick way to go from n=1 to n=0 for a power series?
consider the rational model p(t) = 0.86t2+3.5t + 365/ 0.014t2+ 0.092t + 5.77 where p(t) is the percentage of voter-eligible latinos who are registered to vote at t years since 1980. predict when 59.2% of voter-eligible latinos will be registerd to vote.
[10-R] [CLO 26] Sketch a graph of the rational function r, whichis given on its natural domain byr(x) = (3 − x)3 (x + 5 )4 / ( x+ 2)2 (x − 1).Note that both the numerator and denominator of this function arecompletely factored, and that no further cancelation is possible.

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