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Circuit Training – The Last Circuit! J Name _______________________________ The Exam is tomorrow! Are You Ready? Have some fun with this final circuit! No calculator needed! Answer: !
!!!!!!
# ____1____ Write the equation of the line tangent to the graph of 𝑓 𝑥 = −3𝑥! + 5𝑥 + 1 at 𝑥 = 1 and use it to approximate 𝑓 1.2 .
Answer: 1 # ________ Find the instantaneous rate of change of 𝑔 𝑥 = ln 𝑥 + 3 at 𝑥 = !
!.
Answer: !!
# ________ 𝑥 4− 𝑥!𝑑𝑥!
!
Answer: 19 # ________ Let R be the region bounded by the graph of 𝑦 = 𝑥 − 3 , the line 𝑥 = 4 and the x-‐axis. Calculate the volume of the solid generated when region R is rotated about the x-‐axis.
Answer: !"!
# ________ If 𝑦 = tan !
! , find 𝑦! !
!.
Answer: 0 # ________ !
!𝑑𝑥!
!
© Virge Cornelius 2016
Answer: !
!
# ________ If 𝑦 = !!!
!"! , find 𝑦! 𝑒! .
Answer: !!
# ________ Find !"
!" for 𝑥! + 𝑦! = 169 at the point
−5, 12 .
Answer: !!
# ________ Find the area between the graph of 𝑦 = 3𝑥! + 𝑥 and the x-‐axis for x=0 to x=1.
Answer: !!
# ________ Find the particular solution 𝑦 = ℎ 𝑥 to the differential equation !"
!"= !
!
! with
initial condition ℎ 0 = 1. Then, find ℎ 3 .
Answer: !!"
# ________ lim!→!!
!!!!!
!!!!"!
Answer: !!
# ________ lim!→!
!!!!!!
© Virge Cornelius 2016
