CALCULUS+ITS APPLICATIONS
CALCULUS+ITS APPLICATIONS
12th Edition
ISBN: 9780135164884
Author: BITTINGER
Publisher: PEARSON
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Chapter A, Problem 141E

Solve.

x 2 = 64

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Consider the function f(x) = x²-1. (a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative. Show all your steps clearly. (b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the graph where x 1 and x-> 1+h (for a small positive value of h, illustrate conceptually). Then, draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the value you found in part (a). (c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in the context of the graph of f(x). How does the rate of change of this function vary at different points?
1. The graph of ƒ is given. Use the graph to evaluate each of the following values. If a value does not exist, state that fact. и (a) f'(-5) (b) f'(-3) (c) f'(0) (d) f'(5) 2. Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = −3 and g'(5) = 4. - 3. If an equation of the tangent line to the graph of y = f(x) at the point where x 2 is y = 4x — 5, find ƒ(2) and f'(2).
Does the series converge or diverge

Chapter A Solutions

CALCULUS+ITS APPLICATIONS

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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