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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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Can you solve (i) and present the answers as table I sent. Thank you
Transcribed Image Text:Subproblem (-) | Answers
7(t) = (p(t), v(t)) (... ,.)
from t = . to t = ..
(a)
Sket ch of the curve
1= (t) = ..-;
y = (t) = ..:
(b)
(c)
+y2 = .;
12 + y2 =.. far all te la, b);
(d)
V2 + y2 dt
dt =.. + C;
(e)
len(7) =
(f)
len(7) a
Transcribed Image Text:2. (Lengths of Smooth Curves). For each of the following parametric curves
Sz= +(t),
y = (1),
(a । ६ b),
(a) sketch the curve;
(b) find z' = y'(t) and y' = (t);
(c) find z'2 + y2, and then find and simplify VI2 + yr2 (the length of the tangent vector y(t), the "speed");
(d) find the indefinite integral V2 + y7 dt;
(e) find the length of y by evaluating the integral
(f) round your result in (e) to five decimal places.
= 9t – sin(9t),
( coe(24),
(i)
from t =0 to 2n/9;
from 0tot=1/2;
y =1- cos(9t)
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