using a b x dy a ftgt dt where ft 3t t2 and gt t the shaded area is given by y 3 xr xl dy y 0 t

Name: using a b x dy a ftgt dt where ft 3t t2 and gt t the shaded area is given by y 3 xr xl dy y 0 t 3 0 xtyt dt t 0 3 1 2 t dt 0 92976
Uploaded: 2022-12-21T10:43:43-08:00
Duration: 2 min 37 s
Channel: Madhur L
Description: using a b x dy a ftgt dt where ft 3t t2 and gt t the shaded area is given by y 3 xr xl dy y 0 t 3 0 xtyt dt t 0 3 1 2 t dt 0 92976

Question

Using A = b x dy a = 𝛽 f(t)g'(t) dt 𝛼 , where f(t) = 3t − t2 and g(t) = t , the shaded area is given by y = 3 (xR − xL) dy y = 0 = t = 3 [0 − x(t)]y'(t) dt t = 0 = − 3 1 2 t dt. 0

          Using 
A = 
b
x dy
a
 = 
𝛽
f(t)g'(t) dt
𝛼
, where f(t) = 3t − t2 and g(t) = 
t
,
 the shaded area is given by
y = 
3
(xR − xL) dy
y = 0
 =  
t = 3
[0 − x(t)]y'(t) dt
t = 0
 =  −
3
  
1
2
t
 dt.
0

Added by Melissa O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

12/21/2022

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Using A = b x dy a = 𝛽 f(t)g'(t) dt 𝛼 , where f(t) = 3t − t2 and g(t) = t , the shaded area is given by y = 3 (xR − xL) dy y = 0 = t = 3 [0 − x(t)]y'(t) dt t = 0 = − 3 1 2 t dt. 0