CALCULUS AND ITS APPLICATIONS BRIEF
CALCULUS AND ITS APPLICATIONS BRIEF
12th Edition
ISBN: 9780135998229
Author: BITTINGER
Publisher: PEARSON
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Chapter A, Problem 189E

Right triangles. The lengths of the two legs, a and b , of a right triangle are related to the length of its hypotenuse, c , by the Pythagorean formula: a 2 + b 2 = c 2 .

If a right triangle has one leg of length 12 and a hypotenuse of length 13, find the length of the other leg.

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Amal is painting the main street of a model town. The street is 24 inches long by 1.5 inches wide, until it turns at an angle. The angle forms a triangle with one side of 2 inches and two sides of 1.5 inches that form a right angle. Then the street, still is 1.5 inches wide, continues on for another 11 inches. What calculations will Amal need to do to find the area of each shape? How big is the area Amal wants to paint?

Chapter A Solutions

CALCULUS AND ITS APPLICATIONS BRIEF

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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