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Section 6.2 Problem (1). An airplane's instrument panel includes a gauge called a "vertical speed indicator" (VSI), which indicates the rate (in ft/min) at which the airplane's height from the ground is increasing or de- creasing. Suppose that at t minutes after takeoff, the VSI reads r(t) ft/min. (A VSI can read positive or negative values to indicate the plane is rising or falling.) A VSI typically looks like the gauge depicted below: 10 15 VERTICAL SPEED 20 UP 100 FEET DN PER MINUTE 15 10 Describe in ome sentence what quantity the integral r(t) dt represents. We're not looking for the number3B we want to know what feature of the plane's flight is represented by the integral. 12 Problem (2). Suppose the base of a solid is the region bounded between the curve y = 1-x and the x-axis, and cross-sections perpendicular to the x-axis are semicircles whose diameter lies on the base. The volume of the solid is

Section 6.2 Problem (1). An airplane's instrument panel includes a gauge called a "vertical speed indicator" (VSI), which indicates the rate (in ft/min) at which the airplane's height from the ground is increasing or de- creasing. Suppose that at t minutes after takeoff, the VSI reads r(t) ft/min. (A VSI can read positive or negative values to indicate the plane is rising or falling.) A VSI typically looks like the gauge depicted below: 10 15 VERTICAL SPEED 20 UP 100 FEET DN PER MINUTE 15 10 Describe in ome sentence what quantity the integral r(t) dt represents. We're not looking for the number3B we want to know what feature of the plane's flight is represented by the integral. 12 Problem (2). Suppose the base of a solid is the region bounded between the curve y = 1-x and the x-axis, and cross-sections perpendicular to the x-axis are semicircles whose diameter lies on the base. The volume of the solid is

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 91E
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Section 6.2 Problem (1). An airplane's instrument panel includes a gauge called a "vertical speed indicator" (VSI), which indicates the rate (in ft/min) at which the airplane's height from the ground is increasing or de- creasing. Suppose that at t minutes after takeoff, the VSI reads r(t) ft/min. (A VSI can read positive or negative values to indicate the plane is rising or falling.) A VSI typically looks like the gauge depicted below: 10 15 VERTICAL SPEED 20 UP 100 FEET DN PER MINUTE 15 10 Describe in ome sentence what quantity the integral r(t) dt represents. We're not looking for the number3B we want to know what feature of the plane's flight is represented by the integral. 12 Problem (2). Suppose the base of a solid is the region bounded between the curve y = 1-x and the x-axis, and cross-sections perpendicular to the x-axis are semicircles whose diameter lies on the base. The volume of the solid is
Transcribed Image Text:Section 6.2 Problem (1). An airplane's instrument panel includes a gauge called a "vertical speed indicator" (VSI), which indicates the rate (in ft/min) at which the airplane's height from the ground is increasing or de- creasing. Suppose that at t minutes after takeoff, the VSI reads r(t) ft/min. (A VSI can read positive or negative values to indicate the plane is rising or falling.) A VSI typically looks like the gauge depicted below: 10 15 VERTICAL SPEED 20 UP 100 FEET DN PER MINUTE 15 10 Describe in ome sentence what quantity the integral r(t) dt represents. We're not looking for the number3B we want to know what feature of the plane's flight is represented by the integral. 12 Problem (2). Suppose the base of a solid is the region bounded between the curve y = 1-x and the x-axis, and cross-sections perpendicular to the x-axis are semicircles whose diameter lies on the base. The volume of the solid is
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