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Suppose the distance from home (in miles) of a car at time t hours, 05:58 is given by the quadratic function d (t)=30x²-255x+795 The function is graphed below. Include units of measure in your answers below. dit) 1000- 900- 800 700+ 600+ 500+ 400+ 300+ 200- 100- 100+ a. Find the average speed of the car between 3 and 7 hours. b. Calculate exactly when the car the closest to home (a minimum distance from home). DO NOT ROUND. DO NOT USE DERIVATIVES. c. Suppose we restrict the domain of d(t) to 0StS3 so that d(t) is a one-to-one function. In this context of distance from home and hours traveled, write a sentence to explain the meaning of the expression d'(480)-1.5. Include numbers and units of measure in your answer. -1

Suppose the distance from home (in miles) of a car at time t hours, 05:58 is given by the quadratic function d (t)=30x²-255x+795 The function is graphed below. Include units of measure in your answers below. dit) 1000- 900- 800 700+ 600+ 500+ 400+ 300+ 200- 100- 100+ a. Find the average speed of the car between 3 and 7 hours. b. Calculate exactly when the car the closest to home (a minimum distance from home). DO NOT ROUND. DO NOT USE DERIVATIVES. c. Suppose we restrict the domain of d(t) to 0StS3 so that d(t) is a one-to-one function. In this context of distance from home and hours traveled, write a sentence to explain the meaning of the expression d'(480)-1.5. Include numbers and units of measure in your answer. -1

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Suppose the distance from home (in miles) of a car at time t hours, 0S158 is given by the quadratic function d (t)=30x² -255x+795 The function is graphed below. Include units of measure in your answers below. dit) 1000+ 900+ 800 700+ 600- 500- 400+ 300+ 200- 100+ -100+ a. Find the average speed of the car between 3 and 7 hours. b. Calculate exactly when the car the closest to home (a minimum distance from home). DO NOT ROUND. DO NOT USE DERIVATIVES. c. Suppose we restrict the domain of d(1) to 0S1≤3 so that d(t) is a one-to-one function. In this context of distance from home and hours traveled, write a sentence o explain the meaning of the expression d'(480)=1.5. Include numbers and units of measure in your answer.
Transcribed Image Text:Suppose the distance from home (in miles) of a car at time t hours, 0S158 is given by the quadratic function d (t)=30x² -255x+795 The function is graphed below. Include units of measure in your answers below. dit) 1000+ 900+ 800 700+ 600- 500- 400+ 300+ 200- 100+ -100+ a. Find the average speed of the car between 3 and 7 hours. b. Calculate exactly when the car the closest to home (a minimum distance from home). DO NOT ROUND. DO NOT USE DERIVATIVES. c. Suppose we restrict the domain of d(1) to 0S1≤3 so that d(t) is a one-to-one function. In this context of distance from home and hours traveled, write a sentence o explain the meaning of the expression d'(480)=1.5. Include numbers and units of measure in your answer.
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