Exam 2: Graphical and Tabular Analysi

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The long jump record L , in meters, for the  The long jump record L , in meters, for the   th Olympics after 1900 is given approximately by the formula  L = 0.14 n + 7.20  When did the long jump record reach 8.04 meters? th Olympics after 1900 is given approximately by the formula L=0.14n+7.20L = 0.14 n + 7.20 When did the long jump record reach 8.04 meters?

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Solve the inequality 9x2>3+x49 - x ^ { 2 } > 3 + x ^ { 4 } Be careful. The graphs cross twice.

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Find the maximum value of 7+8x4x27 + 8 x - 4 x ^ { 2 } Restrict your attention to the horizontal span of 0 to 8.

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The amount AA , in grams, of a radioactive substance remaining after  The amount  A  , in grams, of a radioactive substance remaining after   years is given by  A = 15 \times 0.71 ^ {t }  What is the limiting value for the amount of the radioactive substance? years is given by A=15×0.71tA = 15 \times 0.71 ^ {t } What is the limiting value for the amount of the radioactive substance?

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Solve the inequality 8x2>4+x48 - x ^ { 2 } > 4 + x ^ { 4 } Be careful. The graphs cross twice.

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Solve the inequality 10<x31<3210 < x ^ { 3 } - 1 < 32 . Restrict your attention to positive values of xx .

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Your pricing structure for canoe rentals encourages group rentals. The total price, in dollars, you charge for renting  Your pricing structure for canoe rentals encourages group rentals. The total price, in dollars, you charge for renting   canoes is  C = N ( 68 - N )  What is the maximum charge for a group canoe rental? canoes is C=N(68N)C = N ( 68 - N ) What is the maximum charge for a group canoe rental?

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Solve the inequality 6<3.1×1.6x<17.6 < 3.1 \times 1.6 ^ { x } < 17 .

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For which value of xx does 9+5x3x29 + 5 x - 3 x ^ { 2 } reach a maximum? Restrict your attention to the horizontal span of 0 to 5.

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What is the minimum value of 6x311x+16?6 x ^ { 3 } - 11 x + 16 ? Restrict your attention to the horizontal span of 0 to 11.

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Solve the inequality 8<x31<278 < x ^ { 3 } - 1 < 27 . Restrict your attention to positive values of xx .

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The life expectancy E , in solar lifetimes, of certain stars depends on their mass M , in solar masses. The relationship is E=M25E = M ^ { - 25 } As mass increases, life expectancy decreases. What can you say about the rate of decrease? A graph of E versus M can help you answer this question.

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Solve the inequality 7<3.1×1.6x<197 < 3.1 \times 1.6 ^ { x } < 19

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Solve the inequality 16x2>7+x416 - x ^ { 2 } > 7 + x ^ { 4 } Be careful. The graphs cross twice.

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The amount AA , in grams, of a radioactive substance remaining after  The amount  A  , in grams, of a radioactive substance remaining after   years is given by  A = 14 \times 0.55 ^ {t}  What is the limiting value for the amount of the radioactive substance? years is given by A=14×0.55tA = 14 \times 0.55 ^ {t} What is the limiting value for the amount of the radioactive substance?

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The life expectancy E , in solar lifetimes, of certain stars depends on their mass M , in solar masses. The relationship is E=M2SE = M^ { - 2 S } As mass increases, life expectancy decreases. What can you say about the rate of decrease? A graph of E versus M can help you answer this question.

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Solve the equation 16x2+4x+1=4x+5000.16 x ^ { 2 } + \sqrt { 4 x + 1 } = \sqrt { 4 x + 5000 } . Restrict your attention to the horizontal span of 0 to 5.

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The long jump record L , in meters, for the  The long jump record L , in meters, for the   th Olympics after 1900 is given approximately by the formula  L = 0.14 n + 7.20  When did the long jump record reach 8.04 meters? th Olympics after 1900 is given approximately by the formula L=0.14n+7.20L = 0.14 n + 7.20 When did the long jump record reach 8.04 meters?

(Multiple Choice)
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For which value of xx does 6+11x7x26 + 11 x - 7 x ^ { 2 } reach a maximum? Restrict your attention to the horizontal span of 0 to 11.

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Find the maximum value of 11+9x7x211 + 9 x - 7 x ^ { 2 } Restrict your attention to the horizontal span of 0 to 9.

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