15. Draw a set of x-, y, and z-axes and plot the following position vectors (including rectangular prisms) a. OP(4,6,3) b. 0Q(2,-7,-3) 16. Use the graph of f(x) to find the limit of each: a. lim f(x) x-2+ b. lim f(x) c. lim f(x) x-2 d. f(2) 2 (2.2) (-2,0) 6 -2 (2.-1) 17. Find the velocity and acceleration at 1-3 for the position function, where s is in metres, and t is in seconds s(1)-21-31'+71-1 18.A box with a square base and no top must have a volume of 10,000cm³. If the smallest dimension is 5cm, determine the dimensions of the box that minimize the amount of material used. Please include a diagram with you solution

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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15. Draw a set of x-, y, and z-axes and plot the following position vectors
(including rectangular prisms)
a. OP(4,6,3)
b. 0Q(2,-7,-3)
16. Use the graph of f(x) to find the limit of each:
a. lim f(x)
x-2+
b. lim f(x)
c. lim f(x)
x-2
d. f(2)
2 (2.2)
(-2,0)
6
-2
(2.-1)
17. Find the velocity and acceleration at 1-3 for the position function, where s is in
metres, and t is in seconds
s(1)-21-31'+71-1
18.A box with a square base and no top must have a volume of 10,000cm³. If the
smallest dimension is 5cm, determine the dimensions of the box that minimize
the amount of material used. Please include a diagram with you solution
Transcribed Image Text:15. Draw a set of x-, y, and z-axes and plot the following position vectors (including rectangular prisms) a. OP(4,6,3) b. 0Q(2,-7,-3) 16. Use the graph of f(x) to find the limit of each: a. lim f(x) x-2+ b. lim f(x) c. lim f(x) x-2 d. f(2) 2 (2.2) (-2,0) 6 -2 (2.-1) 17. Find the velocity and acceleration at 1-3 for the position function, where s is in metres, and t is in seconds s(1)-21-31'+71-1 18.A box with a square base and no top must have a volume of 10,000cm³. If the smallest dimension is 5cm, determine the dimensions of the box that minimize the amount of material used. Please include a diagram with you solution
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