Consider y = 2 cos √√x + 2√x x sin√x a. Find dy dx' and hence find f cos√x dx b. The graph of y = cos√√x is drawn below. Write down the coordinates of A, B and C, the points the curve cuts the x axis. YA C 1 A B x c. Show that the area from B to C is double the area from A to B.

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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Consider y = 2 cos √x + 2√x x sin√x
a. Find and hence find f cos√x dx
dy
dx'
b. The graph of y = cos√√x is drawn below. Write down the coordinates of
A, B and C, the points the curve cuts the x axis.
Y
C
1
A
B
X
c. Show that the area from B to C is double the area from A to B.
Transcribed Image Text:Consider y = 2 cos √x + 2√x x sin√x a. Find and hence find f cos√x dx dy dx' b. The graph of y = cos√√x is drawn below. Write down the coordinates of A, B and C, the points the curve cuts the x axis. Y C 1 A B X c. Show that the area from B to C is double the area from A to B.
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