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. The marginal cost function for a commodity is given by C'(x) = x² + 2x + 1, where x is the number of units produced. Suppose the overhead cost is P 1,325. Find the cost of producing 60 units.

. The marginal cost function for a commodity is given by C'(x) = x² + 2x + 1, where x is the number of units produced. Suppose the overhead cost is P 1,325. Find the cost of producing 60 units.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Application of intergral calculus

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1. The marginal cost function for a commodity is given by C'(x) = x² + 2x + 1, where x is the number of units produced. Suppose the overhead cost is P 1,325. Find the cost of producing 60 units. The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current population is 8,760, what will be its population after five (5) years? 2. 3. Find the volume of the solid of revolution below. (1,1) 0.5 y = x3 0.5 0.5 Sources: https://www.desmos.com, https://www.mathsisfun.com 4. Suppose the shaded region below is revolved about the y-axis. ...> (VT, 0) 1 -1 y = sin x? Source: https://www.desmos.com Find the volume of the resulting solid of revolution using shell method. 5. A stone is dropped from a height of 49 m. If the stone is initially at rest and assuming gravity is the only force acting on the ston e, after how many seconds will the stone hit the ground? (Round off answer to the nearest ten thousandths.) Rubric for scoring: CRITERIA POINTS 10 Complete solution with correct answer Last two (2) major steps of the solution are incorrect Half of the solution is correct First two (2) major steps of the solution are correct First major step of the solution is correct 4
Transcribed Image Text:1. The marginal cost function for a commodity is given by C'(x) = x² + 2x + 1, where x is the number of units produced. Suppose the overhead cost is P 1,325. Find the cost of producing 60 units. The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current population is 8,760, what will be its population after five (5) years? 2. 3. Find the volume of the solid of revolution below. (1,1) 0.5 y = x3 0.5 0.5 Sources: https://www.desmos.com, https://www.mathsisfun.com 4. Suppose the shaded region below is revolved about the y-axis. ...> (VT, 0) 1 -1 y = sin x? Source: https://www.desmos.com Find the volume of the resulting solid of revolution using shell method. 5. A stone is dropped from a height of 49 m. If the stone is initially at rest and assuming gravity is the only force acting on the ston e, after how many seconds will the stone hit the ground? (Round off answer to the nearest ten thousandths.) Rubric for scoring: CRITERIA POINTS 10 Complete solution with correct answer Last two (2) major steps of the solution are incorrect Half of the solution is correct First two (2) major steps of the solution are correct First major step of the solution is correct 4
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