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Problem #1 E Mathboat.com

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Problem #2 C Mathboat.com

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Use cover-up method Problem # 3 C Mathboat.com

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Problem #4 B Mathboat.com

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Problem #5 A Mathboat.com Use initial conditions:

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Using the arc length formula… Problem #6 A Mathboat.com

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Problem #7 1 1 A Mathboat.com

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By Pythagorean Theorem max. maximize Area: Problem #8 C Mathboat.com

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Diverges Converges Problem # 9 A Mathboat.com

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OR Problem #10 D Mathboat.com

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Integration by parts: Integration by parts again: Plug in: Problem #11 A Mathboat.com

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Problem # C Mathboat.com

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Problem #13 E Mathboat.com

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Problem #14 B Mathboat.com

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Area of Semicircle Problem #15 A Mathboat.com

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Problem #16 C Mathboat.com

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Chain Rule Split into two integrals: Flip integral and make it negative Use 1 st Fundamental Theorem of Calculus Problem #17 A Mathboat.com

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Problem #18 C Mathboat.com

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Problem #19 E Mathboat.com

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Problem #20 B Mathboat.com

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Problem #21 D Mathboat.com

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Check Endpoints Problem #22 A Mathboat.com

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It looks like a limit of Riemann sums Problem #23 E Mathboat.com

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Problem #24 E Mathboat.com

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Problem #25 D Mathboat.com

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Problem #26 D Mathboat.com

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Pts. of inflection Pt. of inflection Problem #27 Or : by the shape of Sin graph, it concaves up and down I and III only D Mathboat.com

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Shown here is the slope field for which differential equation? No asymptote at y=3 Asymptote at y=2 Slope is not same for every vertical Slope is not same for every horizontal Asymptote at y=0 & y=2 Problem #28 A Mathboat.com

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B Problem #29

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Problem #30 C Mathboat.com

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xy Make a chart Problem #31 E Mathboat.com

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Lower Sum Upper Sum Trapezoidal Problem #32 B Mathboat.com

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= 6 Problem #33 A Mathboat.com

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Problem #34 A Mathboat.com

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Problem #35 B Mathboat.com

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Problem #36 A Mathboat.com

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Problem #37 An outdoor thermometer registers a temperature of 100˚F. Twelve minutes after it is brought into a room where the temperature is 80˚F, the thermometer registers 90˚F. When will the thermometer register 85˚F? B Mathboat.com

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Find the slope: Plug the coordinates of x and y and the slope into point-slope equation of the line: Problem #38 A Mathboat.com

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R r Problem #39 C Mathboat.com

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Problem #40 A Mathboat.com

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BoyGirl Problem #41 C Implicitly differentiate Mathboat.com

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Solve for intersections a and b: Substitute into formula B Mathboat.com Problem #42

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max+– Problem #43 B Mathboat.com

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Problem #44 C Mathboat.com

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Area under the curve: Area of 8 by 10 rectangle: Area above the curve: Probability: Problem #45 C Mathboat.com

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