Homeworks 1. When a eircular plate of metal is heated in an oven its radius increases at a rate of 0.01 cm/min. At what rate is the plate's area increasing when its radius is 50 cm.

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...
Question
Homework:
When a circular plate of metal is beated in an oven its radius increases at
rate of 0.01 cm/min. At what rate is the plate's area increasing when its
radius is 50 cm.
2. The length () of rectangle is decreasing at the rate of 2 cm/sec while the
width (w) is increasing at the rate of 2 cm/sec. When I-12 cm and w-5 cm,
lo
find the rate of change of:
(a) the area
(b) the perimeter
(c) the length of the diagonal of the rectangle.
3. The commercial jets at 40 000 ft are flying at 520 mph along straight-line
courses that cross at right angles. How fast is the distance between the
planes closing when plane A is 5 mi from the intersection point and plane
B is 12 mi from the intersection point.
Transcribed Image Text:Homework: When a circular plate of metal is beated in an oven its radius increases at rate of 0.01 cm/min. At what rate is the plate's area increasing when its radius is 50 cm. 2. The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is increasing at the rate of 2 cm/sec. When I-12 cm and w-5 cm, lo find the rate of change of: (a) the area (b) the perimeter (c) the length of the diagonal of the rectangle. 3. The commercial jets at 40 000 ft are flying at 520 mph along straight-line courses that cross at right angles. How fast is the distance between the planes closing when plane A is 5 mi from the intersection point and plane B is 12 mi from the intersection point.
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