Single Variable Calculus Format: Unbound (saleable)
3rd Edition
ISBN: 9780134765761
Author: Briggs, William L.^cochran, Lyle^gillett, Bernard^
Publisher: Prentice Hall
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Chapter B, Problem 41E
To determine
To find: An equation of the line.
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An open-top rectangular box is being constructed to hold a volume of 150 in³. The base of the box is made
from a material costing 7 cents/in². The front of the box must be decorated, and will cost 11 cents/in².
The remainder of the sides will cost 3 cents/in².
Find the dimensions that will minimize the cost of constructing this box. Please show your answers to at
least 4 decimal places.
Front width:
Depth:
in.
in.
Height:
in.
Find and classify the critical points of z = (x² – 8x) (y² – 6y).
Local maximums:
Local minimums:
Saddle points:
-
For each classification, enter a list of ordered pairs (x, y) where the max/min/saddle occurs. Enter DNE if
there are no points for a classification.
Suppose that f(x, y, z) = (x − 2)² + (y – 2)² + (z − 2)² with 0 < x, y, z and x+y+z≤ 10.
1. The critical point of f(x, y, z) is at (a, b, c). Then
a =
b =
C =
2. Absolute minimum of f(x, y, z) is
and the absolute maximum is
Chapter B Solutions
Single Variable Calculus Format: Unbound (saleable)
Ch. B - State the meaning of {x: 4 x 10}. Express the...Ch. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 12ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Algebra review 24.Solve 4x 6(2x) = 8.Ch. B - Algebra review 25.Simplify (x+h)3x3h, for h 0.Ch. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Prob. 29ECh. B - Prob. 30ECh. B - Inequalities with absolute values Solve the...Ch. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Prob. 38ECh. B - Prob. 39ECh. B - Prob. 40ECh. B - Prob. 41ECh. B - Prob. 42ECh. B - Prob. 43ECh. B - Prob. 44ECh. B - Prob. 45ECh. B - Prob. 46ECh. B - Prob. 47ECh. B - Prob. 48ECh. B - Prob. 49ECh. B - Prob. 50E
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