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Hogar Banco de preguntas Matemáticas Cálculo Archive 2025 January 25

Calculus Questions from Jan 25,2025

Browse the Calculus Q&A Archive for Jan 25,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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The region enclosed between the curves and is rotated around the x-axis. Determine the volume of the resulting solid. Calculate the volume of the solid formed by rotating the region bounded by the curve and the line around the x-axis using the washer method. Find the difference quotient of (Use symbolic notation and fractions where needed.) Find the difference quotient of (Use symbolic notation and fractions where needed.) 14 The pressure of a fluid flowing through a closed system, , after seconds can be modeled by the function . Answer parts (a) through (c) below. (a) In the interval , determine the times at which the pressure of the fluid is 100 mmHg . The solution set is . (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) (b) In the interval , determine the times at which the pressure of the fluid is 140 mmHg . The solution set is . (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) (c) In the interval , determine the times at which the pressure of the fluid is between 100 and 105 mmHg . (Use ascending order. Type an integer or decimal rounded to two decimal places as needed.) A. B. C. The pressure of a fluid flowing through a closed system, , after seconds can be modeled by the function . Answer parts (a) through (c) below. (a) In the interval , determine the times at which the pressure of the fluid is 100 mmHg . The solution set is . (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) (b) In the interval , determine the times at which the pressure of the fluid is 140 mmHg . The solution set is . (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) (c) In the interval , determine the times at which the pressure of the fluid is between 100 and 105 mmHg . The pressure of a fluid flowing through a closed system, , after seconds can be modeled by the function . Answer parts (a) through (c) below. (a) In the interval , determine the times at which the pressure of the fluid is 100 mmHg . The solution set is . (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) (b) In the interval , determine the times at which the pressure of the fluid is 140 mmHg . The solution set is . (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) (c) In the interval , determine the times at which the pressure of the fluid is between 100 and 105 mmHg . (Use ascending order. Type an integer or decimal rounded to two decimal places as needed.) (c) The selling price in Ksh. of each item is related to the total sales by The cost of production of the item is related to the total sales by, . Determine the selling price that will result in the largest possible profit, giving your answer to one decimal place. Hence, determine the largest possible profit. The pressure of a fluid flowing through a closed system, , after seconds can be modeled by the function . Answer parts (a) through (c) below. (a) In the interval , determine the times at which the pressure of the fluid is 100 mmHg . The solution set is . (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) (b) In the interval , determine the times at which the pressure of the fluid is 140 mmHg . The solution set is . (Type an integer or decimal rounded to two decimal places as needed. Use a comma to separate answers as needed.) (c) In the interval , determine the times at which the pressure of the fluid is between 100 and 115 mmHg . (Use ascending order. Type an integer or decimal rounded to two decimal places as needed.) A. , B. ] . C. U[] U[ .
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