How high must a 400 gallon rectangular tank be if the base is a square 3 ft 9 in. on a side? (1 cu. ft = 7.48 gallons.) Round to the nearest foot. ?
How high must a 400 gallon rectangular tank be if the base is a square 3 ft 9 in. on a side? (1 cu. ft = 7.48 gallons.) Round to the nearest foot. ?
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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![Let f be a function defined for all x and continuous at all values of x except at x =-2
and x = 0. Suppose that for all x > 10, 4< f(x) <
4x2+x
* and that the following limits are
x2-4
known:
lim f(x) = 3
x--2-
lim f(x) = f(2) = 1
Xー-2+
lim f(x) = -4
lim f(x) = 2
Complete the following questions:
a) Does there always exist a value c on the interval [-3, 0] such that f(c) = 0? Justify
your answer.
b) Does there always exist a value c on the interval [-1, 1] such that f(c) = 0? Justify
your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64214c8d-ffbf-4105-88c5-d60fe2a248ec%2Fd8a8e768-55f4-4d8a-89b5-9be8d9cd8ff2%2Fp6jks_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f be a function defined for all x and continuous at all values of x except at x =-2
and x = 0. Suppose that for all x > 10, 4< f(x) <
4x2+x
* and that the following limits are
x2-4
known:
lim f(x) = 3
x--2-
lim f(x) = f(2) = 1
Xー-2+
lim f(x) = -4
lim f(x) = 2
Complete the following questions:
a) Does there always exist a value c on the interval [-3, 0] such that f(c) = 0? Justify
your answer.
b) Does there always exist a value c on the interval [-1, 1] such that f(c) = 0? Justify
your answer.
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