Precalculus
Precalculus
9th Edition
ISBN: 9780321716835
Author: Michael Sullivan
Publisher: Addison Wesley
bartleby

Concept explainers

Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
bartleby

Videos

Question
Book Icon
Chapter A.3, Problem 70AYU
To determine

To find: The quotient and the remainder and verify the answer.

Expert Solution & Answer
Check Mark

Answer to Problem 70AYU

The the quotient is x2+x−1 and remainder is −2x+2 .

Explanation of Solution

Given information:

  Divide(1−x2+x4) by(x2−x+1) .

Calculation:

Rearrange the terms of dividend as descending power of variables.

  x4−x2+1

Divide the first term of dividend by the first term of divisor and use it as the first term of quotient.

  x2−x+1x2x4−x2+1 .

Multiply x2 by x2−x+1

  =x2(x2−x+1)=x4−x3+x2

Enter the result below the dividend.

  x2−x+1x2x4−x2+1x4−x3+x2 .

Subtract x4−x3+x2 from x4−x2+1 by changing sign of each term of x4−x3+x2 and write the remaining term below.

  x2−x+1x2x4−x2+1x4−x3+x2_      x3−2x2+1 .

Repeat the previous step by taking x3−2x2+1 .

  x2−x+1x2+xx4−x2+1x4−x3+x2_      x3−2x2+1      x3−x2+x_             −x2−x+1 .

Further repeat the previous steps by taking −x2−x+1 as dividend.

  x2−x+1x2+x−1x4−x2+1x4−x3+x2_      x3−2x2+1      x3−x2+x_             −x2−x+1             −x2+x−1_                    −2x+2 .

Since further division is not possible.

The quotient is x2+x−1 and remainder is −2x+2 .

To verify the answer write the relation between dividend, divisor, quotient and remainder

  (Quotient)×(Divisor)+Remainder=Dividend .

Put the values of quotient, divisor, remainder and dividend in the above equation and simplify

  (x2+x−1)×(x2−x+1)−2x+2=x4−x2+1x2(x2+x−1)−x(x2+x−1)+1(x2+x−1)−2x+2=x4−x2+1x4+x3−x2−x3−x2+x+x2+x−1−2x+2=x4−x2+1x4−x2+1=x4−x2+1 .

The result is verified

Therefore, the quotient is x2+x−1 and remainder is −2x+2 .

Previous
Chapter A.3, Problem 69AYU
Next
Chapter A.3, Problem 71AYU

Chapter A Solutions

Precalculus

Ch. A.1 - Prob. 1AYUCh. A.1 - Prob. 2AYUCh. A.1 - Prob. 3AYUCh. A.1 - Prob. 4AYUCh. A.1 - Prob. 5AYUCh. A.1 - Prob. 6AYUCh. A.1 - Prob. 7AYUCh. A.1 - Prob. 8AYUCh. A.1 - Prob. 9AYUCh. A.1 - Prob. 10AYU
Ch. A.1 - Prob. 11AYUCh. A.1 - Prob. 12AYUCh. A.1 - Prob. 13AYUCh. A.1 - Prob. 14AYUCh. A.1 - Prob. 15AYUCh. A.1 - Prob. 16AYUCh. A.1 - Prob. 17AYUCh. A.1 - Prob. 18AYUCh. A.1 - Prob. 19AYUCh. A.1 - Prob. 20AYUCh. A.1 - Prob. 21AYUCh. A.1 - Prob. 22AYUCh. A.1 - Prob. 23AYUCh. A.1 - Prob. 24AYUCh. A.1 - Prob. 25AYUCh. A.1 - Prob. 26AYUCh. A.1 - Prob. 27AYUCh. A.1 - Prob. 28AYUCh. A.1 - Prob. 29AYUCh. A.1 - Prob. 30AYUCh. A.1 - Prob. 31AYUCh. A.1 - Prob. 32AYUCh. A.1 - Prob. 33AYUCh. A.1 - Prob. 34AYUCh. A.1 - Prob. 35AYUCh. A.1 - Prob. 36AYUCh. A.1 - Prob. 37AYUCh. A.1 - Prob. 38AYUCh. A.1 - Prob. 39AYUCh. A.1 - Prob. 40AYUCh. A.1 - Prob. 41AYUCh. A.1 - Prob. 42AYUCh. A.1 - Prob. 43AYUCh. A.1 - Prob. 44AYUCh. A.1 - Prob. 45AYUCh. A.1 - Prob. 46AYUCh. A.1 - Prob. 47AYUCh. A.1 - Prob. 48AYUCh. A.1 - Prob. 49AYUCh. A.1 - Prob. 50AYUCh. A.1 - Prob. 51AYUCh. A.1 - Prob. 52AYUCh. A.1 - Prob. 53AYUCh. A.1 - Prob. 54AYUCh. A.1 - Prob. 55AYUCh. A.1 - Prob. 56AYUCh. A.1 - Prob. 57AYUCh. A.1 - Prob. 58AYUCh. A.1 - Prob. 59AYUCh. A.1 - Prob. 60AYUCh. A.1 - Prob. 61AYUCh. A.1 - Prob. 62AYUCh. A.1 - Prob. 63AYUCh. A.1 - Prob. 64AYUCh. A.1 - Prob. 65AYUCh. A.1 - Prob. 66AYUCh. A.1 - Prob. 67AYUCh. A.1 - Prob. 68AYUCh. A.1 - Prob. 69AYUCh. A.1 - Prob. 70AYUCh. A.1 - Prob. 71AYUCh. A.1 - Prob. 72AYUCh. A.1 - Prob. 73AYUCh. A.1 - Prob. 74AYUCh. A.1 - Prob. 75AYUCh. A.1 - Prob. 76AYUCh. A.1 - Prob. 77AYUCh. A.1 - Prob. 78AYUCh. A.1 - Prob. 79AYUCh. A.1 - Prob. 80AYUCh. A.1 - Prob. 81AYUCh. A.1 - Prob. 82AYUCh. A.1 - Prob. 83AYUCh. A.1 - Prob. 84AYUCh. A.1 - Prob. 85AYUCh. A.1 - Prob. 86AYUCh. A.1 - Prob. 87AYUCh. A.1 - Prob. 88AYUCh. A.1 - Prob. 89AYUCh. A.1 - Prob. 90AYUCh. A.1 - Prob. 91AYUCh. A.1 - Prob. 92AYUCh. A.1 - Prob. 93AYUCh. A.1 - Prob. 94AYUCh. A.1 - Prob. 95AYUCh. A.1 - Prob. 96AYUCh. A.1 - Prob. 97AYUCh. A.1 - Prob. 98AYUCh. A.1 - Prob. 99AYUCh. A.1 - Prob. 100AYUCh. A.1 - Prob. 101AYUCh. A.1 - Prob. 102AYUCh. A.1 - Prob. 103AYUCh. A.1 - Prob. 104AYUCh. A.1 - Prob. 105AYUCh. A.1 - Prob. 106AYUCh. A.1 - Prob. 107AYUCh. A.1 - Prob. 108AYUCh. A.1 - Prob. 109AYUCh. A.1 - Prob. 110AYUCh. A.1 - Prob. 111AYUCh. A.1 - Prob. 112AYUCh. A.1 - Prob. 113AYUCh. A.1 - Prob. 114AYUCh. A.1 - Prob. 115AYUCh. A.1 - Prob. 116AYUCh. A.1 - Prob. 117AYUCh. A.1 - Prob. 118AYUCh. A.1 - Prob. 119AYUCh. A.1 - Prob. 120AYUCh. A.1 - Prob. 121AYUCh. A.1 - Prob. 122AYUCh. A.1 - Prob. 123AYUCh. A.1 - Prob. 124AYUCh. A.1 - Prob. 125AYUCh. A.1 - Prob. 126AYUCh. A.1 - Prob. 127AYUCh. A.1 - Prob. 128AYUCh. A.1 - Prob. 129AYUCh. A.1 - Prob. 130AYUCh. A.1 - Prob. 131AYUCh. A.1 - Prob. 132AYUCh. A.1 - Prob. 133AYUCh. A.1 - Prob. 134AYUCh. A.1 - Prob. 135AYUCh. A.1 - Prob. 136AYUCh. A.1 - Prob. 137AYUCh. A.1 - Prob. 138AYUCh. A.1 - Prob. 139AYUCh. A.1 - Prob. 140AYUCh. A.1 - Prob. 141AYUCh. A.1 - Prob. 142AYUCh. A.1 - Prob. 143AYUCh. A.1 - Prob. 144AYUCh. A.1 - Prob. 145AYUCh. A.1 - Prob. 146AYUCh. A.1 - Prob. 147AYUCh. A.1 - Prob. 148AYUCh. A.1 - Prob. 149AYUCh. A.1 - Prob. 150AYUCh. A.1 - Prob. 151AYUCh. A.1 - Prob. 152AYUCh. A.2 - Prob. 1AYUCh. A.2 - Prob. 2AYUCh. A.2 - Prob. 3AYUCh. A.2 - Prob. 4AYUCh. A.2 - Prob. 5AYUCh. A.2 - Prob. 6AYUCh. A.2 - Prob. 7AYUCh. A.2 - Prob. 8AYUCh. A.2 - Prob. 9AYUCh. A.2 - Prob. 10AYUCh. A.2 - Prob. 11AYUCh. A.2 - Prob. 12AYUCh. A.2 - Prob. 13AYUCh. A.2 - Prob. 14AYUCh. A.2 - Prob. 15AYUCh. A.2 - Prob. 16AYUCh. A.2 - Prob. 17AYUCh. A.2 - Prob. 18AYUCh. A.2 - Prob. 19AYUCh. A.2 - Prob. 20AYUCh. A.2 - Prob. 21AYUCh. A.2 - Prob. 22AYUCh. A.2 - Prob. 23AYUCh. A.2 - Prob. 24AYUCh. A.2 - Prob. 25AYUCh. A.2 - Prob. 26AYUCh. A.2 - Prob. 27AYUCh. A.2 - Prob. 28AYUCh. A.2 - Prob. 29AYUCh. A.2 - Prob. 30AYUCh. A.2 - Prob. 31AYUCh. A.2 - Prob. 32AYUCh. A.2 - Prob. 33AYUCh. A.2 - Prob. 34AYUCh. A.2 - Prob. 35AYUCh. A.2 - Prob. 36AYUCh. A.2 - Prob. 37AYUCh. A.2 - Prob. 38AYUCh. A.2 - Prob. 39AYUCh. A.2 - Prob. 40AYUCh. A.2 - Prob. 41AYUCh. A.2 - Prob. 42AYUCh. A.2 - Prob. 43AYUCh. A.2 - Prob. 44AYUCh. A.2 - Prob. 45AYUCh. A.2 - Prob. 46AYUCh. A.2 - Prob. 47AYUCh. A.2 - Prob. 48AYUCh. A.2 - Prob. 49AYUCh. A.2 - Prob. 50AYUCh. A.2 - Prob. 51AYUCh. A.2 - Prob. 52AYUCh. A.2 - Prob. 53AYUCh. A.2 - Prob. 54AYUCh. A.2 - Prob. 55AYUCh. A.2 - Prob. 56AYUCh. A.2 - Prob. 57AYUCh. A.2 - Prob. 58AYUCh. A.3 - Prob. 1AYUCh. A.3 - Prob. 2AYUCh. A.3 - Prob. 3AYUCh. A.3 - Prob. 4AYUCh. A.3 - Prob. 5AYUCh. A.3 - Prob. 6AYUCh. A.3 - Prob. 7AYUCh. A.3 - Prob. 8AYUCh. A.3 - Prob. 9AYUCh. A.3 - Prob. 10AYUCh. A.3 - Prob. 11AYUCh. A.3 - Prob. 12AYUCh. A.3 - Prob. 13AYUCh. A.3 - Prob. 14AYUCh. A.3 - Prob. 15AYUCh. A.3 - Prob. 16AYUCh. A.3 - Prob. 17AYUCh. A.3 - Prob. 18AYUCh. A.3 - Prob. 19AYUCh. A.3 - Prob. 20AYUCh. A.3 - Prob. 21AYUCh. A.3 - Prob. 22AYUCh. A.3 - Prob. 23AYUCh. A.3 - Prob. 24AYUCh. A.3 - Prob. 25AYUCh. A.3 - Prob. 26AYUCh. A.3 - Prob. 27AYUCh. A.3 - Prob. 28AYUCh. A.3 - Prob. 29AYUCh. A.3 - Prob. 30AYUCh. A.3 - Prob. 31AYUCh. A.3 - Prob. 32AYUCh. A.3 - Prob. 33AYUCh. A.3 - Prob. 34AYUCh. A.3 - Prob. 35AYUCh. A.3 - Prob. 36AYUCh. A.3 - Prob. 37AYUCh. A.3 - Prob. 38AYUCh. A.3 - Prob. 39AYUCh. A.3 - Prob. 40AYUCh. A.3 - Prob. 41AYUCh. A.3 - Prob. 42AYUCh. A.3 - Prob. 43AYUCh. A.3 - Prob. 44AYUCh. A.3 - Prob. 45AYUCh. A.3 - Prob. 46AYUCh. A.3 - Prob. 47AYUCh. A.3 - Prob. 48AYUCh. A.3 - Prob. 49AYUCh. A.3 - Prob. 50AYUCh. A.3 - Prob. 51AYUCh. A.3 - Prob. 52AYUCh. A.3 - Prob. 53AYUCh. A.3 - Prob. 54AYUCh. A.3 - Prob. 55AYUCh. A.3 - Prob. 56AYUCh. A.3 - Prob. 57AYUCh. A.3 - Prob. 58AYUCh. A.3 - Prob. 59AYUCh. A.3 - Prob. 60AYUCh. A.3 - Prob. 61AYUCh. A.3 - Prob. 62AYUCh. A.3 - Prob. 63AYUCh. A.3 - Prob. 64AYUCh. A.3 - Prob. 65AYUCh. A.3 - Prob. 66AYUCh. A.3 - Prob. 67AYUCh. A.3 - Prob. 68AYUCh. A.3 - Prob. 69AYUCh. A.3 - Prob. 70AYUCh. A.3 - Prob. 71AYUCh. A.3 - Prob. 72AYUCh. A.3 - Prob. 73AYUCh. A.3 - Prob. 74AYUCh. A.3 - Prob. 75AYUCh. A.3 - Prob. 76AYUCh. A.3 - Prob. 77AYUCh. A.3 - Prob. 78AYUCh. A.3 - Prob. 79AYUCh. A.3 - Prob. 80AYUCh. A.3 - Prob. 81AYUCh. A.3 - Prob. 82AYUCh. A.3 - Prob. 83AYUCh. A.3 - Prob. 84AYUCh. A.3 - Prob. 85AYUCh. A.3 - Prob. 86AYUCh. A.3 - Prob. 87AYUCh. A.3 - Prob. 88AYUCh. A.3 - Prob. 89AYUCh. A.3 - Prob. 90AYUCh. A.3 - Prob. 91AYUCh. A.3 - Prob. 92AYUCh. A.3 - Prob. 93AYUCh. A.3 - Prob. 94AYUCh. A.3 - Prob. 95AYUCh. A.3 - Prob. 96AYUCh. A.3 - Prob. 97AYUCh. A.3 - Prob. 98AYUCh. A.3 - Prob. 99AYUCh. A.3 - Prob. 100AYUCh. A.3 - Prob. 101AYUCh. A.3 - Prob. 102AYUCh. A.3 - Prob. 103AYUCh. A.3 - Prob. 104AYUCh. A.3 - Prob. 105AYUCh. A.3 - Prob. 106AYUCh. A.3 - Prob. 107AYUCh. A.3 - Prob. 108AYUCh. A.3 - Prob. 109AYUCh. A.3 - Prob. 110AYUCh. A.3 - Prob. 111AYUCh. A.3 - Prob. 112AYUCh. A.3 - Prob. 113AYUCh. A.3 - Prob. 114AYUCh. A.3 - Prob. 115AYUCh. A.3 - Prob. 116AYUCh. A.3 - Prob. 117AYUCh. A.3 - Prob. 118AYUCh. A.3 - Prob. 119AYUCh. A.3 - Prob. 120AYUCh. A.3 - Prob. 121AYUCh. A.3 - Prob. 122AYUCh. A.3 - Prob. 123AYUCh. A.3 - Prob. 124AYUCh. A.3 - Prob. 125AYUCh. A.3 - Prob. 126AYUCh. A.3 - Prob. 127AYUCh. A.3 - Prob. 128AYUCh. A.3 - Prob. 129AYUCh. A.3 - Prob. 130AYUCh. A.3 - Prob. 131AYUCh. A.3 - Prob. 132AYUCh. A.3 - Prob. 133AYUCh. A.3 - Prob. 134AYUCh. A.3 - Prob. 135AYUCh. A.3 - Prob. 136AYUCh. A.3 - Prob. 137AYUCh. A.3 - Prob. 138AYUCh. A.3 - Prob. 139AYUCh. A.3 - Prob. 140AYUCh. A.3 - Prob. 141AYUCh. A.3 - Prob. 142AYUCh. A.3 - Prob. 143AYUCh. A.3 - Prob. 144AYUCh. A.4 - Prob. 1AYUCh. A.4 - Prob. 2AYUCh. A.4 - Prob. 3AYUCh. A.4 - Prob. 4AYUCh. A.4 - Prob. 5AYUCh. A.4 - Prob. 6AYUCh. A.4 - Prob. 7AYUCh. A.4 - Prob. 8AYUCh. A.4 - Prob. 9AYUCh. A.4 - Prob. 10AYUCh. A.4 - Prob. 11AYUCh. A.4 - Prob. 12AYUCh. A.4 - Prob. 13AYUCh. A.4 - Prob. 14AYUCh. A.4 - Prob. 15AYUCh. A.4 - Prob. 16AYUCh. A.4 - Prob. 17AYUCh. A.4 - Prob. 18AYUCh. A.4 - Prob. 19AYUCh. A.4 - Prob. 20AYUCh. A.4 - Prob. 21AYUCh. A.4 - Prob. 22AYUCh. A.4 - Prob. 23AYUCh. A.4 - Prob. 24AYUCh. A.4 - Prob. 25AYUCh. A.4 - Prob. 26AYUCh. A.4 - Prob. 27AYUCh. A.4 - Prob. 28AYUCh. A.5 - Prob. 1AYUCh. A.5 - Prob. 2AYUCh. A.5 - Prob. 3AYUCh. A.5 - Prob. 4AYUCh. A.5 - Prob. 5AYUCh. A.5 - Prob. 6AYUCh. A.5 - Prob. 7AYUCh. A.5 - Prob. 8AYUCh. A.5 - Prob. 9AYUCh. A.5 - Prob. 10AYUCh. A.5 - Prob. 11AYUCh. A.5 - Prob. 12AYUCh. A.5 - Prob. 13AYUCh. A.5 - Prob. 14AYUCh. A.5 - Prob. 15AYUCh. A.5 - Prob. 16AYUCh. A.5 - Prob. 17AYUCh. A.5 - Prob. 18AYUCh. A.5 - Prob. 19AYUCh. A.5 - Prob. 20AYUCh. A.5 - Prob. 21AYUCh. A.5 - Prob. 22AYUCh. A.5 - Prob. 23AYUCh. A.5 - Prob. 24AYUCh. A.5 - Prob. 25AYUCh. A.5 - Prob. 26AYUCh. A.5 - Prob. 27AYUCh. A.5 - Prob. 28AYUCh. A.5 - Prob. 29AYUCh. A.5 - Prob. 30AYUCh. A.5 - Prob. 31AYUCh. A.5 - Prob. 32AYUCh. A.5 - Prob. 33AYUCh. A.5 - Prob. 34AYUCh. A.5 - Prob. 35AYUCh. A.5 - Prob. 36AYUCh. A.5 - Prob. 37AYUCh. A.5 - Prob. 38AYUCh. A.5 - Prob. 39AYUCh. A.5 - Prob. 40AYUCh. A.5 - Prob. 41AYUCh. A.5 - Prob. 42AYUCh. A.5 - Prob. 43AYUCh. A.5 - Prob. 44AYUCh. A.5 - Prob. 45AYUCh. A.5 - Prob. 46AYUCh. A.5 - Prob. 47AYUCh. A.6 - Prob. 1AYUCh. A.6 - Prob. 2AYUCh. A.6 - Prob. 3AYUCh. A.6 - Prob. 4AYUCh. A.6 - Prob. 5AYUCh. A.6 - Prob. 6AYUCh. A.6 - Prob. 7AYUCh. A.6 - Prob. 8AYUCh. A.6 - Prob. 9AYUCh. A.6 - Prob. 10AYUCh. A.6 - Prob. 11AYUCh. A.6 - Prob. 12AYUCh. A.6 - Prob. 13AYUCh. A.6 - Prob. 14AYUCh. A.6 - Prob. 15AYUCh. A.6 - Prob. 16AYUCh. A.6 - Prob. 17AYUCh. A.6 - Prob. 18AYUCh. A.6 - Prob. 19AYUCh. A.6 - Prob. 20AYUCh. A.6 - Prob. 21AYUCh. A.6 - Prob. 22AYUCh. A.6 - Prob. 23AYUCh. A.6 - Prob. 24AYUCh. A.6 - Prob. 25AYUCh. A.6 - Prob. 26AYUCh. A.6 - Prob. 27AYUCh. A.6 - Prob. 28AYUCh. A.6 - Prob. 29AYUCh. A.6 - Prob. 30AYUCh. A.6 - Prob. 31AYUCh. A.6 - Prob. 32AYUCh. A.6 - Prob. 33AYUCh. A.6 - Prob. 34AYUCh. A.6 - Prob. 35AYUCh. A.6 - Prob. 36AYUCh. A.6 - Prob. 37AYUCh. A.6 - Prob. 38AYUCh. A.6 - Prob. 39AYUCh. A.6 - Prob. 40AYUCh. A.6 - Prob. 41AYUCh. A.6 - Prob. 42AYUCh. A.6 - Prob. 43AYUCh. A.6 - Prob. 44AYUCh. A.6 - Prob. 45AYUCh. A.6 - Prob. 46AYUCh. A.6 - Prob. 47AYUCh. A.6 - Prob. 48AYUCh. A.6 - Prob. 49AYUCh. A.6 - Prob. 50AYUCh. A.6 - Prob. 51AYUCh. A.6 - Prob. 52AYUCh. A.6 - Prob. 53AYUCh. A.6 - Prob. 54AYUCh. A.6 - Prob. 55AYUCh. A.6 - Prob. 56AYUCh. A.6 - Prob. 57AYUCh. A.6 - Prob. 58AYUCh. A.6 - Prob. 59AYUCh. A.6 - Prob. 60AYUCh. A.6 - Prob. 61AYUCh. A.6 - Prob. 62AYUCh. A.6 - Prob. 63AYUCh. A.6 - Prob. 64AYUCh. A.6 - Prob. 65AYUCh. A.6 - Prob. 66AYUCh. A.6 - Prob. 67AYUCh. A.6 - Prob. 68AYUCh. A.6 - Prob. 69AYUCh. A.6 - Prob. 70AYUCh. A.6 - Prob. 71AYUCh. A.6 - Prob. 72AYUCh. A.6 - Prob. 73AYUCh. A.6 - Prob. 74AYUCh. A.6 - Prob. 75AYUCh. A.6 - Prob. 76AYUCh. A.6 - Prob. 77AYUCh. A.6 - Prob. 78AYUCh. A.6 - Prob. 79AYUCh. A.6 - Prob. 80AYUCh. A.6 - Prob. 81AYUCh. A.6 - Prob. 82AYUCh. A.6 - Prob. 83AYUCh. A.6 - Prob. 84AYUCh. A.6 - Prob. 85AYUCh. A.6 - Prob. 86AYUCh. A.6 - Prob. 87AYUCh. A.6 - Prob. 88AYUCh. A.6 - Prob. 89AYUCh. A.6 - Prob. 90AYUCh. A.6 - Prob. 91AYUCh. A.6 - Prob. 92AYUCh. A.6 - Prob. 93AYUCh. A.6 - Prob. 94AYUCh. A.6 - Prob. 95AYUCh. A.6 - Prob. 96AYUCh. A.6 - Prob. 97AYUCh. A.6 - Prob. 98AYUCh. A.6 - Prob. 99AYUCh. A.6 - Prob. 100AYUCh. A.6 - Prob. 101AYUCh. A.6 - Prob. 102AYUCh. A.6 - Prob. 103AYUCh. A.6 - Prob. 104AYUCh. A.6 - Prob. 105AYUCh. A.6 - Prob. 106AYUCh. A.6 - Prob. 107AYUCh. A.6 - Prob. 108AYUCh. A.6 - Prob. 109AYUCh. A.6 - Prob. 110AYUCh. A.6 - Prob. 111AYUCh. A.6 - Prob. 112AYUCh. A.6 - Prob. 113AYUCh. A.6 - Prob. 114AYUCh. A.6 - Prob. 115AYUCh. A.6 - Prob. 116AYUCh. A.6 - Prob. 117AYUCh. A.6 - Prob. 118AYUCh. A.6 - Prob. 119AYUCh. A.6 - Prob. 120AYUCh. A.6 - Prob. 121AYUCh. A.6 - Prob. 122AYUCh. A.6 - Prob. 123AYUCh. A.6 - Prob. 124AYUCh. A.6 - Prob. 125AYUCh. A.6 - Prob. 126AYUCh. A.6 - Prob. 127AYUCh. A.6 - Prob. 128AYUCh. A.6 - Prob. 129AYUCh. A.6 - Prob. 130AYUCh. A.6 - Prob. 131AYUCh. A.6 - Prob. 132AYUCh. A.6 - Prob. 133AYUCh. A.7 - Prob. 1AYUCh. A.7 - Prob. 2AYUCh. A.7 - Prob. 3AYUCh. A.7 - Prob. 4AYUCh. A.7 - Prob. 5AYUCh. A.7 - Prob. 6AYUCh. A.7 - Prob. 7AYUCh. A.7 - Prob. 8AYUCh. A.7 - Prob. 9AYUCh. A.7 - Prob. 10AYUCh. A.7 - Prob. 11AYUCh. A.7 - Prob. 12AYUCh. A.7 - Prob. 13AYUCh. A.7 - Prob. 14AYUCh. A.7 - Prob. 15AYUCh. A.7 - Prob. 16AYUCh. A.7 - Prob. 17AYUCh. A.7 - Prob. 18AYUCh. A.7 - Prob. 19AYUCh. A.7 - Prob. 20AYUCh. A.7 - Prob. 21AYUCh. A.7 - Prob. 22AYUCh. A.7 - Prob. 23AYUCh. A.7 - Prob. 24AYUCh. A.7 - Prob. 25AYUCh. A.7 - Prob. 26AYUCh. A.7 - Prob. 27AYUCh. A.7 - Prob. 28AYUCh. A.7 - Prob. 29AYUCh. A.7 - Prob. 30AYUCh. A.7 - Prob. 31AYUCh. A.7 - Prob. 32AYUCh. A.7 - Prob. 33AYUCh. A.7 - Prob. 34AYUCh. A.7 - Prob. 35AYUCh. A.7 - Prob. 36AYUCh. A.7 - Prob. 37AYUCh. A.7 - Prob. 38AYUCh. A.7 - Prob. 39AYUCh. A.7 - Prob. 40AYUCh. A.7 - Prob. 41AYUCh. A.7 - Prob. 42AYUCh. A.7 - Prob. 43AYUCh. A.7 - Prob. 44AYUCh. A.7 - Prob. 45AYUCh. A.7 - Prob. 46AYUCh. A.7 - Prob. 47AYUCh. A.7 - Prob. 48AYUCh. A.7 - Prob. 49AYUCh. A.7 - Prob. 50AYUCh. A.7 - Prob. 51AYUCh. A.7 - Prob. 52AYUCh. A.7 - Prob. 53AYUCh. A.7 - Prob. 54AYUCh. A.7 - Prob. 55AYUCh. A.7 - Prob. 56AYUCh. A.7 - Prob. 57AYUCh. A.7 - Prob. 58AYUCh. A.7 - Prob. 59AYUCh. A.7 - Prob. 60AYUCh. A.7 - Prob. 61AYUCh. A.7 - Prob. 62AYUCh. A.7 - Prob. 63AYUCh. A.7 - Prob. 64AYUCh. A.7 - Prob. 65AYUCh. A.7 - Prob. 66AYUCh. A.7 - Prob. 67AYUCh. A.7 - Prob. 68AYUCh. A.7 - Prob. 69AYUCh. A.7 - Prob. 70AYUCh. A.7 - Prob. 71AYUCh. A.7 - Prob. 72AYUCh. A.7 - Prob. 73AYUCh. A.7 - Prob. 74AYUCh. A.7 - Prob. 75AYUCh. A.7 - Prob. 76AYUCh. A.7 - Prob. 77AYUCh. A.7 - Prob. 78AYUCh. A.7 - Prob. 79AYUCh. A.7 - Prob. 80AYUCh. A.7 - Prob. 81AYUCh. A.7 - Prob. 82AYUCh. A.7 - Prob. 83AYUCh. A.7 - Prob. 84AYUCh. A.7 - Prob. 85AYUCh. A.7 - Prob. 86AYUCh. A.7 - Prob. 87AYUCh. A.7 - Prob. 88AYUCh. A.7 - Prob. 89AYUCh. A.7 - Prob. 90AYUCh. A.7 - Prob. 91AYUCh. A.7 - Prob. 92AYUCh. A.7 - Prob. 93AYUCh. A.7 - Prob. 94AYUCh. A.8 - Prob. 1AYUCh. A.8 - Prob. 2AYUCh. A.8 - Prob. 3AYUCh. A.8 - Prob. 4AYUCh. A.8 - Prob. 5AYUCh. A.8 - Prob. 6AYUCh. A.8 - Prob. 7AYUCh. A.8 - Prob. 8AYUCh. A.8 - Prob. 9AYUCh. A.8 - Prob. 10AYUCh. A.8 - Prob. 11AYUCh. A.8 - Prob. 12AYUCh. A.8 - Prob. 13AYUCh. A.8 - Prob. 14AYUCh. A.8 - Prob. 15AYUCh. A.8 - Prob. 16AYUCh. A.8 - Prob. 17AYUCh. A.8 - Prob. 18AYUCh. A.8 - Prob. 19AYUCh. A.8 - Prob. 20AYUCh. A.8 - Prob. 21AYUCh. A.8 - Prob. 22AYUCh. A.8 - Prob. 23AYUCh. A.8 - Prob. 24AYUCh. A.8 - Prob. 25AYUCh. A.8 - Prob. 26AYUCh. A.8 - Prob. 27AYUCh. A.8 - Prob. 28AYUCh. A.8 - Prob. 29AYUCh. A.8 - Prob. 30AYUCh. A.8 - Prob. 31AYUCh. A.8 - Prob. 32AYUCh. A.8 - Prob. 33AYUCh. A.8 - Prob. 34AYUCh. A.8 - Prob. 35AYUCh. A.8 - Prob. 36AYUCh. A.8 - Prob. 37AYUCh. A.8 - Prob. 38AYUCh. A.8 - Prob. 39AYUCh. A.8 - Prob. 40AYUCh. A.8 - Prob. 41AYUCh. A.8 - Prob. 42AYUCh. A.8 - Prob. 43AYUCh. A.8 - Prob. 44AYUCh. A.8 - Prob. 45AYUCh. A.8 - Prob. 46AYUCh. A.8 - Prob. 47AYUCh. A.8 - Prob. 48AYUCh. A.8 - Prob. 49AYUCh. A.8 - Prob. 50AYUCh. A.8 - Prob. 51AYUCh. A.8 - Prob. 52AYUCh. A.8 - Prob. 53AYUCh. A.8 - Prob. 54AYUCh. A.8 - Prob. 55AYUCh. A.8 - Prob. 56AYUCh. A.8 - Prob. 57AYUCh. A.8 - Prob. 58AYUCh. A.8 - Prob. 59AYUCh. A.8 - Prob. 60AYUCh. A.8 - Prob. 61AYUCh. A.9 - Prob. 1AYUCh. A.9 - Prob. 2AYUCh. A.9 - Prob. 3AYUCh. A.9 - Prob. 4AYUCh. A.9 - Prob. 5AYUCh. A.9 - Prob. 6AYUCh. A.9 - Prob. 7AYUCh. A.9 - Prob. 8AYUCh. A.9 - Prob. 9AYUCh. A.9 - Prob. 10AYUCh. A.9 - Prob. 11AYUCh. A.9 - Prob. 12AYUCh. A.9 - Prob. 13AYUCh. A.9 - Prob. 14AYUCh. A.9 - Prob. 15AYUCh. A.9 - Prob. 16AYUCh. A.9 - Prob. 17AYUCh. A.9 - Prob. 18AYUCh. A.9 - Prob. 19AYUCh. A.9 - Prob. 20AYUCh. A.9 - Prob. 21AYUCh. A.9 - Prob. 22AYUCh. A.9 - Prob. 23AYUCh. A.9 - Prob. 24AYUCh. A.9 - Prob. 25AYUCh. A.9 - Prob. 26AYUCh. A.9 - Prob. 27AYUCh. A.9 - Prob. 28AYUCh. A.9 - Prob. 29AYUCh. A.9 - Prob. 30AYUCh. A.9 - Prob. 31AYUCh. A.9 - Prob. 32AYUCh. A.9 - Prob. 33AYUCh. A.9 - Prob. 34AYUCh. A.9 - Prob. 35AYUCh. A.9 - Prob. 36AYUCh. A.9 - Prob. 37AYUCh. A.9 - Prob. 38AYUCh. A.9 - Prob. 39AYUCh. A.9 - Prob. 40AYUCh. A.9 - Prob. 41AYUCh. A.9 - Prob. 42AYUCh. A.9 - Prob. 43AYUCh. A.9 - Prob. 44AYUCh. A.9 - Prob. 45AYUCh. A.9 - Prob. 46AYUCh. A.9 - Prob. 47AYUCh. A.9 - Prob. 48AYUCh. A.9 - Prob. 49AYUCh. A.9 - Prob. 50AYUCh. A.9 - Prob. 51AYUCh. A.9 - Prob. 52AYUCh. A.9 - Prob. 53AYUCh. A.9 - Prob. 54AYUCh. A.9 - Prob. 55AYUCh. A.9 - Prob. 56AYUCh. A.9 - Prob. 57AYUCh. A.9 - Prob. 58AYUCh. A.9 - Prob. 59AYUCh. A.9 - Prob. 60AYUCh. A.9 - Prob. 61AYUCh. A.9 - Prob. 62AYUCh. A.9 - Prob. 63AYUCh. A.9 - Prob. 64AYUCh. A.9 - Prob. 65AYUCh. A.9 - Prob. 66AYUCh. A.9 - Prob. 67AYUCh. A.9 - Prob. 68AYUCh. A.9 - Prob. 69AYUCh. A.9 - Prob. 70AYUCh. A.9 - Prob. 71AYUCh. A.9 - Prob. 72AYUCh. A.9 - Prob. 73AYUCh. A.9 - Prob. 74AYUCh. A.9 - Prob. 75AYUCh. A.9 - Prob. 76AYUCh. A.9 - Prob. 77AYUCh. A.9 - Prob. 78AYUCh. A.9 - Prob. 79AYUCh. A.9 - Prob. 80AYUCh. A.9 - Prob. 81AYUCh. A.9 - Prob. 82AYUCh. A.9 - Prob. 83AYUCh. A.9 - Prob. 84AYUCh. A.9 - Prob. 85AYUCh. A.9 - Prob. 86AYUCh. A.9 - Prob. 87AYUCh. A.9 - Prob. 88AYUCh. A.9 - Prob. 89AYUCh. A.9 - Prob. 90AYUCh. A.9 - Prob. 91AYUCh. A.9 - Prob. 92AYUCh. A.9 - Prob. 93AYUCh. A.9 - Prob. 94AYUCh. A.9 - Prob. 95AYUCh. A.9 - Prob. 96AYUCh. A.9 - Prob. 97AYUCh. A.9 - Prob. 98AYUCh. A.9 - Prob. 99AYUCh. A.9 - Prob. 100AYUCh. A.9 - Prob. 101AYUCh. A.9 - Prob. 102AYUCh. A.9 - Prob. 103AYUCh. A.9 - Prob. 104AYUCh. A.9 - Prob. 105AYUCh. A.9 - Prob. 106AYUCh. A.9 - Prob. 107AYUCh. A.9 - Prob. 108AYUCh. A.9 - Prob. 109AYUCh. A.9 - Prob. 110AYUCh. A.9 - Prob. 111AYUCh. A.9 - Prob. 112AYUCh. A.9 - Prob. 113AYUCh. A.9 - Prob. 114AYUCh. A.9 - Prob. 115AYUCh. A.9 - Prob. 116AYUCh. A.9 - Prob. 117AYUCh. A.9 - Prob. 118AYUCh. A.9 - Prob. 119AYUCh. A.9 - Prob. 120AYUCh. A.9 - Prob. 121AYUCh. A.9 - Prob. 122AYUCh. A.9 - Prob. 123AYUCh. A.9 - Prob. 124AYUCh. A.9 - Prob. 125AYUCh. A.9 - Prob. 126AYUCh. A.9 - Prob. 127AYUCh. A.9 - Prob. 128AYUCh. A.9 - Prob. 129AYUCh. A.9 - Prob. 130AYUCh. A.9 - Prob. 131AYUCh. A.10 - Prob. 1AYUCh. A.10 - Prob. 2AYUCh. A.10 - Prob. 3AYUCh. A.10 - Prob. 4AYUCh. A.10 - Prob. 5AYUCh. A.10 - Prob. 6AYUCh. A.10 - Prob. 7AYUCh. A.10 - Prob. 8AYUCh. A.10 - Prob. 9AYUCh. A.10 - Prob. 10AYUCh. A.10 - Prob. 11AYUCh. A.10 - Prob. 12AYUCh. A.10 - Prob. 13AYUCh. A.10 - Prob. 14AYUCh. A.10 - Prob. 15AYUCh. A.10 - Prob. 16AYUCh. A.10 - Prob. 17AYUCh. A.10 - Prob. 18AYUCh. A.10 - Prob. 19AYUCh. A.10 - Prob. 20AYUCh. A.10 - Prob. 21AYUCh. A.10 - Prob. 22AYUCh. A.10 - Prob. 23AYUCh. A.10 - Prob. 24AYUCh. A.10 - Prob. 25AYUCh. A.10 - Prob. 26AYUCh. A.10 - Prob. 27AYUCh. A.10 - Prob. 28AYUCh. A.10 - Prob. 29AYUCh. A.10 - Prob. 30AYUCh. A.10 - Prob. 31AYUCh. A.10 - Prob. 32AYUCh. A.10 - Prob. 33AYUCh. A.10 - Prob. 34AYUCh. A.10 - Prob. 35AYUCh. A.10 - Prob. 36AYUCh. A.10 - Prob. 37AYUCh. A.10 - Prob. 38AYUCh. A.10 - Prob. 39AYUCh. A.10 - Prob. 40AYUCh. A.10 - Prob. 41AYUCh. A.10 - Prob. 42AYUCh. A.10 - Prob. 43AYUCh. A.10 - Prob. 44AYUCh. A.10 - Prob. 45AYUCh. A.10 - Prob. 46AYUCh. A.10 - Prob. 47AYUCh. A.10 - Prob. 48AYUCh. A.10 - Prob. 49AYUCh. A.10 - Prob. 50AYUCh. A.10 - Prob. 51AYUCh. A.10 - Prob. 52AYUCh. A.10 - Prob. 53AYUCh. A.10 - Prob. 54AYUCh. A.10 - Prob. 55AYUCh. A.10 - Prob. 56AYUCh. A.10 - Prob. 57AYUCh. A.10 - Prob. 58AYUCh. A.10 - Prob. 59AYUCh. A.10 - Prob. 60AYUCh. A.10 - Prob. 61AYUCh. A.10 - Prob. 62AYUCh. A.10 - Prob. 63AYUCh. A.10 - Prob. 64AYUCh. A.10 - Prob. 65AYUCh. A.10 - Prob. 66AYUCh. A.10 - Prob. 67AYUCh. A.10 - Prob. 68AYUCh. A.10 - Prob. 69AYUCh. A.10 - Prob. 70AYUCh. A.10 - Prob. 71AYUCh. A.10 - Prob. 72AYUCh. A.10 - Prob. 73AYUCh. A.10 - Prob. 74AYUCh. A.10 - Prob. 75AYUCh. A.10 - Prob. 76AYUCh. A.10 - Prob. 77AYUCh. A.10 - Prob. 78AYUCh. A.10 - Prob. 79AYUCh. A.10 - Prob. 80AYUCh. A.10 - Prob. 81AYUCh. A.10 - Prob. 82AYUCh. A.10 - Prob. 83AYUCh. A.10 - Prob. 84AYUCh. A.10 - Prob. 85AYUCh. A.10 - Prob. 86AYUCh. A.10 - Prob. 87AYUCh. A.10 - Prob. 88AYUCh. A.10 - Prob. 89AYUCh. A.10 - Prob. 90AYUCh. A.10 - Prob. 91AYUCh. A.10 - Prob. 92AYUCh. A.10 - Prob. 93AYUCh. A.10 - Prob. 94AYUCh. A.10 - Prob. 95AYUCh. A.10 - Prob. 96AYUCh. A.10 - Prob. 97AYUCh. A.10 - Prob. 98AYUCh. A.10 - Prob. 99AYUCh. A.10 - Prob. 100AYUCh. A.10 - Prob. 101AYUCh. A.10 - Prob. 102AYUCh. A.10 - Prob. 103AYUCh. A.10 - Prob. 104AYUCh. A.10 - Prob. 105AYUCh. A.10 - Prob. 106AYUCh. A.10 - Prob. 107AYUCh. A.10 - Prob. 108AYUCh. A.10 - Prob. 109AYUCh. A.10 - Prob. 110AYUCh. A.10 - Prob. 111AYUCh. A.10 - Prob. 112AYUCh. A.10 - Prob. 113AYUCh. A.10 - Prob. 114AYUCh. A.10 - Prob. 115AYUCh. A.10 - Prob. 116AYUCh. A.10 - Prob. 117AYU

Additional Math Textbook Solutions

Find more solutions based on key concepts
In Example 1, what is the average velocity between t=2 and t=3? Example 1 Average Velocity A rock is launched v...

Calculus, Single Variable: Early Transcendentals (3rd Edition)

The value of the integral ∫acf(x) dx.

Calculus: Early Transcendentals (3rd Edition)

The intercepts of the equation 9 x 2 +4y=36 are ______. (pp.18-19)

Precalculus Enhanced with Graphing Utilities (7th Edition)

Use the Substitution Formula in Theorem 7 to evaluate the integrals in Exercises 1–48. 1.

Thomas' Calculus: Early Transcendentals (14th Edition)

Ladder against the wall A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulli...

Calculus: Early Transcendentals (2nd Edition)

Precalculus Enhanced with Graphing Utilities

Knowledge Booster
Background pattern image
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781285741550
Author:James Stewart
Publisher:Cengage Learning
Text book image
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Text book image
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Text book image
Precalculus
Calculus
ISBN:9780135189405
Author:Michael Sullivan
Publisher:PEARSON
Text book image
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
SEE MORE TEXTBOOKS
What is a Linear Equation in One Variable?; Author: Don't Memorise;https://www.youtube.com/watch?v=lDOYdBgtnjY;License: Standard YouTube License, CC-BY
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY