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Let H(t) be the cost of heating a building in dollars per hour when the outside temperature is t degrees. (a) What are the units of H'(t) ? -Select- (b) What does the statement H'(32) = -3.60 tell us? O The cost of heating a building will decrease by approximately $3.60 when the outside temperature increases. O When the outside temperature is 32 degrees, the total cost of heating a building decreases by approximately $3.60. O When the outside temperature increases by 32 degrees, the cost of heating a building will decrease by approximately $3.60 per hour. O The cost of heating a building will be approximately $3.60 per hour more when the outside temperature is 33 degrees instead of 32 degrees. O The cost of heating a building will be approximately $3.60 per hour less when the outside temperature is 33 degrees instead of 32 degrees. (c) If we know that H(32) = 14 and H'(32) = -3.60, find the equation of the tangent line to H(t) at t = 32. Use y for the dependent variable and t for the independent variable.

Let H(t) be the cost of heating a building in dollars per hour when the outside temperature is t degrees. (a) What are the units of H'(t) ? -Select- (b) What does the statement H'(32) = -3.60 tell us? O The cost of heating a building will decrease by approximately $3.60 when the outside temperature increases. O When the outside temperature is 32 degrees, the total cost of heating a building decreases by approximately $3.60. O When the outside temperature increases by 32 degrees, the cost of heating a building will decrease by approximately $3.60 per hour. O The cost of heating a building will be approximately $3.60 per hour more when the outside temperature is 33 degrees instead of 32 degrees. O The cost of heating a building will be approximately $3.60 per hour less when the outside temperature is 33 degrees instead of 32 degrees. (c) If we know that H(32) = 14 and H'(32) = -3.60, find the equation of the tangent line to H(t) at t = 32. Use y for the dependent variable and t for the independent variable.

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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Let H(t) be the cost of heating a building in dollars per hour when the outside temperature is t degrees. (a) What are the units of H'(t) ? -Select- (b) What does the statement H'(32) = -3.60 tell us?. O The cost of heating a building will decrease by approximately $3.60 when the outside temperature increases. O When the outside temperature is 32 degrees, the total cost of heating a building decreases by approximately $3.60. O When the outside temperature increases by 32 degrees, the cost of heating a building will decrease by approximately $3.60 per hour. O The cost of heating a building will be approximately $3.60 per hour more when the outside temperature is 33 degrees instead of 32 degrees. O The cost of heating a building will be approximately $3.60 per hour less when the outside temperature is 33 degrees instead of 32 degrees. (c) If we know that H(32) 14 and H'(32) = -3.60 find the equation of the tangent line to H(t) at t= 32. Use y for the dependent variable and t for the independent variable. (d) Use your tangent line to estimate the cost of heating a building in dollars per hour when the outside temperature is 34 degrees. Give an exact answer from your tangent line. dollars per hour (e) If H"(t) <0, would your answer in part (d) be an underestimate or overestimate of the cost of heating a building? -Select- V
Transcribed Image Text:Let H(t) be the cost of heating a building in dollars per hour when the outside temperature is t degrees. (a) What are the units of H'(t) ? -Select- (b) What does the statement H'(32) = -3.60 tell us?. O The cost of heating a building will decrease by approximately $3.60 when the outside temperature increases. O When the outside temperature is 32 degrees, the total cost of heating a building decreases by approximately $3.60. O When the outside temperature increases by 32 degrees, the cost of heating a building will decrease by approximately $3.60 per hour. O The cost of heating a building will be approximately $3.60 per hour more when the outside temperature is 33 degrees instead of 32 degrees. O The cost of heating a building will be approximately $3.60 per hour less when the outside temperature is 33 degrees instead of 32 degrees. (c) If we know that H(32) 14 and H'(32) = -3.60 find the equation of the tangent line to H(t) at t= 32. Use y for the dependent variable and t for the independent variable. (d) Use your tangent line to estimate the cost of heating a building in dollars per hour when the outside temperature is 34 degrees. Give an exact answer from your tangent line. dollars per hour (e) If H"(t) <0, would your answer in part (d) be an underestimate or overestimate of the cost of heating a building? -Select- V
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