Name: Date: Optimization problems Period: A man launches his boat from a point on the bank of a straight, rectangular lake. The man can row at the rate of 6 mi/hr and can run at 8 mi/hr. He wants to reach a point 8 miles downstream and on the other bank (point B). The river is 3 miles wide. Assume the speed of the water is negligible. He could row directly across the lake (point D) and run down the bank or he could row directly to the point B across the lake or he could row to a point somewhere in the middle (C) and run the rest of the way. How can he reach point B in the least time? Guen: Yow mynr Tm/hy 2P AD 2 32 C4 A C latexA Total time 3-X (2x)- o). ( 2x)-292 (0 Ca(Cx9) &-13-x)10) 3 10 (x-92 4 36 बहका: हे Co(x2-4) Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side length L assuming one side of the rectangle lies on the base of the triangle. Avea bh ath Period: unlean aua - 14 the radius of its base. Suppose A
Name: Date: Optimization problems Period: A man launches his boat from a point on the bank of a straight, rectangular lake. The man can row at the rate of 6 mi/hr and can run at 8 mi/hr. He wants to reach a point 8 miles downstream and on the other bank (point B). The river is 3 miles wide. Assume the speed of the water is negligible. He could row directly across the lake (point D) and run down the bank or he could row directly to the point B across the lake or he could row to a point somewhere in the middle (C) and run the rest of the way. How can he reach point B in the least time? Guen: Yow mynr Tm/hy 2P AD 2 32 C4 A C latexA Total time 3-X (2x)- o). ( 2x)-292 (0 Ca(Cx9) &-13-x)10) 3 10 (x-92 4 36 बहका: हे Co(x2-4) Find the area of the largest rectangle that can be inscribed in an equilateral triangle of side length L assuming one side of the rectangle lies on the base of the triangle. Avea bh ath Period: unlean aua - 14 the radius of its base. Suppose A
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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I'm not sure what do to next at this point. Do I have to find the equation for how long it takes for the man to row from A to C and then to B?
Transcribed Image Text:Name:
Date:
Optimization problems
Period:
A man launches his boat from a point on the bank of a straight, rectangular lake.
The man can row at the rate of 6 mi/hr and can run at 8 mi/hr. He wants to reach a
point 8 miles downstream and on the other bank (point B). The river is 3 miles
wide. Assume the speed of the water is negligible. He could row directly across the
lake (point D) and run down the bank or he could row directly to the point B across
the lake or he could row to a point somewhere in the middle (C) and run the rest of
the way. How can he reach point B in the least time?
Guen: Yow mynr
Tm/hy
2P
AD 2
32
C4
A C
latexA
Total time
3-X
(2x)- o).
( 2x)-292 (0
Ca(Cx9)
&-13-x)10)
3 10
(x-92
4
36
बहका: हे
Co(x2-4)
Find the area of the largest rectangle that can be inscribed in an equilateral triangle
of side length L assuming one side of the rectangle lies on the base of the triangle.
Avea bh
ath
Period:
unlean aua
- 14 the radius of its base. Suppose
A
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