Precalculus: A Unit Circle Approach
2nd Edition
ISBN: 9780321825391
Author: Ratti
Publisher: PEARSON
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Chapter A.3, Problem 45E
To determine
To subtract the given expression as indicated and to simplify. (Answer can be left in factored form in the numerator and denominator)
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Chapter A.3 Solutions
Precalculus: A Unit Circle Approach
Ch. A.3 - In exercises 10, reduce each rational expression...Ch. A.3 - Prob. 2ECh. A.3 - Prob. 3ECh. A.3 - Prob. 4ECh. A.3 - Prob. 5ECh. A.3 - Prob. 6ECh. A.3 - Prob. 7ECh. A.3 - Prob. 8ECh. A.3 - In exercises1-10, reduce each rational expression...Ch. A.3 - Prob. 10E
Ch. A.3 - Prob. 11ECh. A.3 - Prob. 12ECh. A.3 - Prob. 13ECh. A.3 - Prob. 14ECh. A.3 - Prob. 15ECh. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 11-20, multiply or divide as...Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - Prob. 24ECh. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - In Exercises 21-30, add and subtract as indicated....Ch. A.3 - Prob. 31ECh. A.3 - Prob. 32ECh. A.3 - Prob. 33ECh. A.3 - Prob. 34ECh. A.3 - Prob. 35ECh. A.3 - Prob. 36ECh. A.3 - Prob. 37ECh. A.3 - Prob. 38ECh. A.3 - Prob. 39ECh. A.3 - Prob. 40ECh. A.3 - Prob. 41ECh. A.3 - Prob. 42ECh. A.3 - Prob. 43ECh. A.3 - Prob. 44ECh. A.3 - Prob. 45ECh. A.3 - Prob. 46ECh. A.3 - In Exercises 37-52, perform the indicated...Ch. A.3 - Prob. 48ECh. A.3 - Prob. 49ECh. A.3 - Prob. 50ECh. A.3 - Prob. 51ECh. A.3 - Prob. 52ECh. A.3 - Prob. 53ECh. A.3 - Prob. 54ECh. A.3 - In Exercises 53-66; perform the indicated...Ch. A.3 - In Exercises 53-66; perform the indicated...Ch. A.3 - Prob. 57ECh. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 -
In Exercises 53-66, perform the indicated...Ch. A.3 - Prob. 66ECh. A.3 - Prob. 67ECh. A.3 - Toy box height. The height (in feet) of an open...Ch. A.3 - Diluting a mixture. A 100-gallon mixture of citrus...Ch. A.3 - Prob. 70ECh. A.3 - Prob. 71ECh. A.3 - Prob. 72E
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- do question 2 pleasearrow_forwardquestion 10 pleasearrow_forward00 (a) Starting with the geometric series Σ X^, find the sum of the series n = 0 00 Σηχη - 1, |x| < 1. n = 1 (b) Find the sum of each of the following series. 00 Σnx", n = 1 |x| < 1 (ii) n = 1 sin (c) Find the sum of each of the following series. (i) 00 Σn(n-1)x^, |x| <1 n = 2 (ii) 00 n = 2 n² - n 4n (iii) M8 n = 1 շոarrow_forward
- (a) Use differentiation to find a power series representation for 1 f(x) = (4 + x)²* f(x) = 00 Σ n = 0 What is the radius of convergence, R? R = (b) Use part (a) to find a power series for f(x) = 1 (4 + x)³° f(x) = 00 Σ n = 0 What is the radius of convergence, R? R = (c) Use part (b) to find a power series for f(x) = x² (4 + x)³* 00 f(x) = Σ n = 2 What is the radius of convergence, R? R = Need Help? Read It Watch It SUBMIT ANSWERarrow_forwardanswer for question 4 pleasearrow_forward(3) (20 points) Let F(x, y, z) = (y, z, x²z). Define E = {(x, y, z) | x² + y² ≤ z ≤ 1, x ≤ 0}. (a) (2 points) Calculate the divergence V. F. (b) (4 points) Let D = {(x, y) | x² + y² ≤ 1, x ≤ 0} Without calculation, show that the triple integral √ (V · F) dV = √ 2²(1. = x²(1 − x² - y²) dA. Earrow_forward
- (2) (22 points) Let F(x, y, z) = (x sin y, cos y, ―xy). (a) (2 points) Calculate V. F. (b) (6 points) Given a vector field is everywhere defined with V G₁(x, y, z) = * G2(x, y, z) = − G3(x, y, z) = 0. 0 0 F(x, y, z) = (F₁(x, y, z), F₂(x, y, z), F(x, y, z)) that F = 0, let G = (G1, G2, G3) where F₂(x, y, y, t) dt - √ F³(x, t, 0) dt, * F1(x, y, t) dt, t) dt - √ F Calculate G for the vector field F(x, y, z) = (x sin y, cos y, -xy).arrow_forwardEvaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √(x + y) A R R = {(x, y) | 25 < x² + y² ≤ 36, x < 0} Hint: The integral and Region is defined in rectangular coordinates.arrow_forwardFind the volume of the solid that lies under the paraboloid z = 81 - x² - y² and within the cylinder (x − 1)² + y² = 1. A plot of an example of a similar solid is shown below. (Answer accurate to 2 decimal places). Volume using Double Integral Paraboloid & Cylinder -3 Hint: The integral and region is defined in polar coordinates.arrow_forward
- Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √4(1–2² 4(1 - x² - y²) dA R 3 R = {(r,0) | 0 ≤ r≤ 2,0π ≤0≤¼˜}. Hint: The integral is defined in rectangular coordinates. The Region is defined in polar coordinates.arrow_forwardEvaluate the following integral over the Region R. (Answer accurate to 2 decimal places). R - 1 · {(r,0) | 1 ≤ r≤ 5,½π≤ 0<1π}. Hint: Be sure to convert to Polar coordinates. Use the correct differential for Polar Coordinates.arrow_forwardEvaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √2(x+y) dA R R = {(x, y) | 4 < x² + y² < 25,0 < x} Hint: The integral and Region is defined in rectangular coordinates.arrow_forward
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