0 y = 2 sin 3x + 1 (a) The graph above shows part of the curve y=2sin3x+1. Find the area of region P. (Enter your answer to 3 significant figures) units² Area of region P = (b) A particle starts from rest from a fixed-point O and moves in a straight line towards a point A. The velocity, v m/s, of the particle, t s after leaving O, is given by v=7-3e-t. Given that the particle reaches point A when t=ln 3, find the displacement OA. (Enter your answer to 2 decimal places) OA = m

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Question
y
y = 2 sin 3x + 1
A7
(a) The graph above shows part of the curve
y=2sin3x+1. Find the area of region P.
(Enter your answer to 3 significant figures)
units²
Area of region P =
(b) A particle starts from rest from a fixed-point O
and moves in a straight line towards a point A.
The velocity, v m/s, of the particle, t s after leaving
O, is given by v=7-3e-t.
Given that the particle reaches point A when t=In 3,
find the displacement OA.
(Enter your answer to 2 decimal places)
OA =
m
Transcribed Image Text:y y = 2 sin 3x + 1 A7 (a) The graph above shows part of the curve y=2sin3x+1. Find the area of region P. (Enter your answer to 3 significant figures) units² Area of region P = (b) A particle starts from rest from a fixed-point O and moves in a straight line towards a point A. The velocity, v m/s, of the particle, t s after leaving O, is given by v=7-3e-t. Given that the particle reaches point A when t=In 3, find the displacement OA. (Enter your answer to 2 decimal places) OA = m
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