QI Evaluate the following [Choose six only). (1): 2 if y = 5 cos 2u and u=x +n. dx sin(y-4) i (2): lim,-16 x-16 (3): for t-g? 1.

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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QI/ Evaluate the following [Choose six only).
(1): 2 if y= 5 cos 2u and u = x +n.
dx
sin(vi-4)
I (2): lim,-16
x-16
I (3):
for t-g2 1.
2x+3
(4): The domain and range of f(x)
i (5): lim,o
3x4100
I (6): The domain and range of f(x) = -1+ V2-x
sint-t
(7): limo
Q2/
I (a): Show points of continuity and discontinuity of the function at x = 0,1,2,3, and 4
1-x 0sx<1
1
15x<2
x = 2
2<x<3
35xS4.
fx) ={ 2
x-1
5-x
! (b): Graph the function y = 2 cos(x -) over the interval (-, 2m) , then find its !
period.
Q3/ A balloon is rising straight up from a level field, at a constant rate of 0.4 m/ sec. Just
when the balloon is 25 m above the ground, a bicycle moving at a constant rate of
6 m / sec passes under it. How fast is the distance s(t) between the bicycle and balloon
increasing 5 sec later ?
00
Transcribed Image Text:QI/ Evaluate the following [Choose six only). (1): 2 if y= 5 cos 2u and u = x +n. dx sin(vi-4) I (2): lim,-16 x-16 I (3): for t-g2 1. 2x+3 (4): The domain and range of f(x) i (5): lim,o 3x4100 I (6): The domain and range of f(x) = -1+ V2-x sint-t (7): limo Q2/ I (a): Show points of continuity and discontinuity of the function at x = 0,1,2,3, and 4 1-x 0sx<1 1 15x<2 x = 2 2<x<3 35xS4. fx) ={ 2 x-1 5-x ! (b): Graph the function y = 2 cos(x -) over the interval (-, 2m) , then find its ! period. Q3/ A balloon is rising straight up from a level field, at a constant rate of 0.4 m/ sec. Just when the balloon is 25 m above the ground, a bicycle moving at a constant rate of 6 m / sec passes under it. How fast is the distance s(t) between the bicycle and balloon increasing 5 sec later ? 00
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