The length of the sides of a square are initially 0 cm and increase at a constant rate of 7 cm per second. a. Write a formula that expresses the side length of the square, s (in cm), in terms of the number of seconds, t, since the square's side lengths began growing. S = Preview b. Write a formula that expresses the area of the square, A (in cm-), in terms of the square's side length, s (in cm). A = Preview c. Write a formula that expresses the area of the square, A (in cm²), in terms of the number of seconds, t, since the square started growing. A = Preview d. Suppose the function f determines the area of the square (in cm²) given a number of seconds, t, since the square started growing. Write a function formula for f. f(t) = Preview
The length of the sides of a square are initially 0 cm and increase at a constant rate of 7 cm per second. a. Write a formula that expresses the side length of the square, s (in cm), in terms of the number of seconds, t, since the square's side lengths began growing. S = Preview b. Write a formula that expresses the area of the square, A (in cm-), in terms of the square's side length, s (in cm). A = Preview c. Write a formula that expresses the area of the square, A (in cm²), in terms of the number of seconds, t, since the square started growing. A = Preview d. Suppose the function f determines the area of the square (in cm²) given a number of seconds, t, since the square started growing. Write a function formula for f. f(t) = Preview
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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Transcribed Image Text:The length of the sides of a square are initially 0 cm and increase at a constant rate of 7 cm per second.
a. Write a formula that expresses the side length of the square, s (in cm), in terms of the number of seconds, t,
since the square's side lengths began growing.
S =
Preview
b. Write a formula that expresses the area of the square, A (in cm-), in terms of the square's side length, s (in
cm).
A =
Preview
c. Write a formula that expresses the area of the square, A (in cm2), in terms of the number of seconds, t, since
the square started growing.
А
Preview
d. Suppose the function f determines the area of the square (in cm-) given a number of seconds, t, since the
square started growing. Write a function formula for f.
f(t) :
Preview
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