CALCULUS+ITS APPLICATIONS
CALCULUS+ITS APPLICATIONS
12th Edition
ISBN: 9780135164884
Author: BITTINGER
Publisher: PEARSON
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Concept explainers

Family of Curves
A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…
XZ Plane
In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…
Euclidean Geometry
Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…
Lines and Angles
In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.
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Textbook Question
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Chapter A, Problem 59E

Simplify.

( − 3 x − 8 y 7 z 2 ) 2

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Chapter A, Problem 60E

Chapter A Solutions

CALCULUS+ITS APPLICATIONS

Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Prob. 5ECh. A - Prob. 6ECh. A - Prob. 7ECh. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...
Ch. A - Prob. 11ECh. A - Prob. 12ECh. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Express as an equivalent expression without,...Ch. A - Prob. 25ECh. A - Express as an equivalent expression without,...Ch. A - Prob. 27ECh. A - Multiply. t3t4Ch. A - Multiply. x7xCh. A - Multiply. x5xCh. A - Multiply. 31. Ch. A - Multiply. 4t32t4Ch. A - Multiply. 33. Ch. A - Multiply. x3xx3Ch. A - Multiply. 35. Ch. A - Multiply. ekekCh. A - Divide. 37. x8x2Ch. A - Divide. 38. Ch. A - Divide. x2x5Ch. A - Divide. x3x7Ch. A - Divide. 41. Ch. A - Divide. tktkCh. A - Divide. ete4Ch. A - Divide. 44. Ch. A - Divide. t6t8Ch. A - Divide. t5t7Ch. A - Prob. 47ECh. A - Prob. 48ECh. A - Prob. 49ECh. A - Prob. 50ECh. A - Simplify. (t2)3Ch. A - Simplify. (t3)4Ch. A - Simplify. 53. Ch. A - Simplify. 54. Ch. A - Simplify. 55. Ch. A - Simplify. 56. Ch. A - Prob. 57ECh. A - Simplify. 58. Ch. A - Simplify. 59. Ch. A - Prob. 60ECh. A - Simplify. (cd32q2)2Ch. A - Simplify. 62. Ch. A - Prob. 63ECh. A - Multiply. x(1+t)Ch. A - Multiply. (x5)(x2)Ch. A - Multiply. (x4)(x3)Ch. A - Multiply. 67. Ch. A - Prob. 68ECh. A - Prob. 69ECh. A - Multiply. (3x+4)(x1)Ch. A - Prob. 71ECh. A - Prob. 72ECh. A - Multiply. 73. Ch. A - Prob. 74ECh. A - Prob. 75ECh. A - Multiply. 76. Ch. A - Multiply. 77. Ch. A - Prob. 78ECh. A - Multiply. 5x(x2+3)2Ch. A - Prob. 80ECh. A - Use the following equation for Exercises...Ch. A - Use the following equation for Exercises 81-84....Ch. A - Prob. 83ECh. A - Use the following equation for Exercises...Ch. A - Factor. xxtCh. A - Factor. 86. Ch. A - Factor. x2+6xy+9y2Ch. A - Factor. x210xy+25y2Ch. A - Factor. 89. Ch. A - Factor. 90. Ch. A - Prob. 91ECh. A - Factor. 92. Ch. A - Prob. 93ECh. A - Factor. 9x2b2Ch. A - Prob. 95ECh. A - Factor. 96. Ch. A - Factor. 97. Ch. A - Factor. 2x432Ch. A - Factor. a8b8Ch. A - Prob. 100ECh. A - Prob. 101ECh. A - Prob. 102ECh. A - Factor. 103. Ch. A - Factor. 2xy250xCh. A - Factor. 105. Ch. A - Factor. 6x223x+20Ch. A - Factor. x3+8 (Hint: See Exercise 68.)Ch. A - Factor. a327 (Hint: See Exercise 67.)Ch. A - Factor. y364t3Ch. A - Factor. 110. Ch. A - Factor. 3x36x2x+2Ch. A - Factor. 112. Ch. A - Factor. x35x29x+45Ch. A - Factor. t3+3t225t75Ch. A - Solve. 115. Ch. A - Solve. 8x+9=4x70Ch. A - Solve. 117. Ch. A - Solve. 5x2+3x=2x+64xCh. A - Solve. 119. Ch. A - Solve. 120. Ch. A - Solve. 121. Ch. A - Solve. x+0.05x=210Ch. A - Solve. 123. Ch. A - Solve. 7x(x2)(2x+3)=0Ch. A - Solve. 125. Ch. A - Solve. 2t2=9+t2Ch. A - Solve. 127. Ch. A - Solve. 128. Ch. A - Solve. 129. Ch. A - Solve. 130. Ch. A - Solve. 131. Ch. A - Solve. 132. Ch. A - Solve. (x3)2=x2+2x+1Ch. A - Solve. (x5)2=x2+x+3Ch. A - Solve. 4xx+5+100x2+5xCh. A - Solve. 136. Ch. A - Solve. 50x50x2=4xCh. A - Solve. 138. Ch. A - Solve. 139. Ch. A - Solve. 535x2=0Ch. A - Solve. 141. Ch. A - Solve. x2=144Ch. A - Solve. 143. Ch. A - Solve. 144. Ch. A - Solve. 4t2=49Ch. A - Solve. 100k2=169Ch. A - Solve. 147. Ch. A - Prob. 148ECh. A - Solve. 149. Ch. A - Solve. 150. Ch. A - Solve. 151. Ch. A - Solve. (6x+5)2=400Ch. A - Solve. 153. Ch. A - Solve. (14y)2=2Ch. A - Solve. 155. Ch. A - Solve. 156. Ch. A - Solve. 157. Ch. A - Solve. 3x3+3x17x9Ch. A - Solve. 7x4Ch. A - Prob. 160ECh. A - Solve. 161. Ch. A - Solve. 9x+3x24Ch. A - Solve. 2x75x9Ch. A - Solve. 10x313x8Ch. A - Solve. 165. Ch. A - Solve. 166. Ch. A - Solve. 83x+214Ch. A - Prob. 168ECh. A - Solve. 169. Ch. A - Solve. 170. Ch. A - Prob. 171ECh. A - Solve. 172. Ch. A - Prob. 173ECh. A - 174. Investment increase. An investment is made...Ch. A - 175. Total revenue. Sunshine Products determines...Ch. A - Prob. 176ECh. A - Weight gain. After a 6% gain in weight, an elk...Ch. A - Weight gain. After a 7% gain in weight, a deer...Ch. A - Population increase. After a 2% increase, the...Ch. A - Population increase. After a 3% increase, the...Ch. A - Grade average. To get a B in a course, a students...Ch. A - 182. Grade average. To get a C in a course, a...Ch. A - Auditorium seating. The seats at Ardon Auditorium...Ch. A - 184. Tiling a room. The conference room at the...Ch. A - Prob. 185ECh. A - Prob. 186ECh. A - Prob. 187ECh. A - Prob. 188ECh. A - Right triangles. The lengths of the two legs, a...Ch. A - Right triangles. One leg of a right triangle is 3...

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