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The price of parrafin wax to make candles is 56.5VND/cm³. Calculate the cost of wax to make a cylindrical candle with the base of radius 1 cm, and with the height 20 cm. Estimate the change of the cost to make the candle by using increment approximation when increasing the radius 2 mm and decreasing the height 5 mm? Solution Letr, h (cm) be the base's radius and the height of the candle respectively. Let C (VND) be the cost to make the candle. Then C(r, h) = |(VND). When r = 1 cm, h= 20 cm, the cost of the wax to make the candle is C(1, 20) Now we estimate the change of the cost. We have Ar AC(1,2)= i) C₁ (1, 20) Ar + C, (1, 20) Ah ii) C₁ (1, 20) Ar + C₁ (1, 20) Ah iii) C(1, 20) Ar + C(1, 20) Ah iv) C₁ (1, 20) (Ar + Ah) Ah: Then ΔC J (The final answer can be rounded to 4 decimal places after the decimal point). cm. VND.

The price of parrafin wax to make candles is 56.5VND/cm³. Calculate the cost of wax to make a cylindrical candle with the base of radius 1 cm, and with the height 20 cm. Estimate the change of the cost to make the candle by using increment approximation when increasing the radius 2 mm and decreasing the height 5 mm? Solution Letr, h (cm) be the base's radius and the height of the candle respectively. Let C (VND) be the cost to make the candle. Then C(r, h) = |(VND). When r = 1 cm, h= 20 cm, the cost of the wax to make the candle is C(1, 20) Now we estimate the change of the cost. We have Ar AC(1,2)= i) C₁ (1, 20) Ar + C, (1, 20) Ah ii) C₁ (1, 20) Ar + C₁ (1, 20) Ah iii) C(1, 20) Ar + C(1, 20) Ah iv) C₁ (1, 20) (Ar + Ah) Ah: Then ΔC J (The final answer can be rounded to 4 decimal places after the decimal point). cm. VND.

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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The price of parrafin wax to make candles is 56.5VND/cm³. Calculate the cost of wax to make a cylindrical candle with the base of radius 1 cm, and with the height 20 cm. Estimate the change of the cost to make the candle by using increment approximation when increasing the radius 2 mm and decreasing the height 5 mm? Solution Let r, h (cm) be the base's radius and the height of the candle respectively. Let C (VND) be the cost to make the candle. Then C(r, h) (VND). When r = 1 cm, h = 20 cm, the cost of the wax to make the candle is C(1, 20) Now we estimate the change of the cost. We have Ar AC(1, 2) = i) Ch (1, 20) Ar + C, (1, 20)Ah ii) C₁ (1, 20) Ar + Ch (1, 20) Ah iii) C(1, 20)Ar + C(1, 20)Ah iv) C₁ (1, 20) (Ar + Ah) ◆ Ah = Then AC (The final answer can be rounded to 4 decimal places after the decimal point). cm. VND.
Transcribed Image Text:The price of parrafin wax to make candles is 56.5VND/cm³. Calculate the cost of wax to make a cylindrical candle with the base of radius 1 cm, and with the height 20 cm. Estimate the change of the cost to make the candle by using increment approximation when increasing the radius 2 mm and decreasing the height 5 mm? Solution Let r, h (cm) be the base's radius and the height of the candle respectively. Let C (VND) be the cost to make the candle. Then C(r, h) (VND). When r = 1 cm, h = 20 cm, the cost of the wax to make the candle is C(1, 20) Now we estimate the change of the cost. We have Ar AC(1, 2) = i) Ch (1, 20) Ar + C, (1, 20)Ah ii) C₁ (1, 20) Ar + Ch (1, 20) Ah iii) C(1, 20)Ar + C(1, 20)Ah iv) C₁ (1, 20) (Ar + Ah) ◆ Ah = Then AC (The final answer can be rounded to 4 decimal places after the decimal point). cm. VND.
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