KASIT app ………….. Calculas 1- IT

KASIT app ………….. Calculas 1- IT
BY
Marwa Rasheed
#Calculas_IT_Students‬
‫ ﻣﺗﺣﺎﻥ ﺭﺡ ﻳﺟﻲ ﻣﺗﻝ ﺍﻻﺳﺋﻠﺔ ﻫﺩﻭﻝ ﺑﺎﻟﺯﺑﻁ ﻭ ﺍﺳﻬﻝ ﻛﻣﺎﻥ ﺍﻧﺷﺎہﻠﻟ‬: ‫ﻧﻘﻼ ﻋﻥ ﺍﻟﻛﺗﻭﺭﺓ ﺳﺟﻰ ﺍﻟﻬﻳﺎﺟﻧﺔ‬
#Gd_Luck‬
(Q1: Fill in the blank (12 pts
!? y= ln(e^x-3) ,, find the domain (1
hay 7atejii bel emte7an mmken e^x 2w ay eshii ) <-- x : e^x } = { 0 < ln ‫ ﻣﺎ ﺩﺍﺧﻝ ﺍﻝ‬: domain = { x
bas enoo nfs
= ( fekret el 7al
ln 3 < ln e^x
ln3 <x
(domain = (ln3,infin
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?f(x)= sin^-1 (3x+1) ,, find the domain (2
[1,1-] <-- sin^-1x
mnetra7 1 mn kol el atraf <-- 1=> x+13 =>1mn8sem 3 mn kol el atraf <-- 0=>x3=>20=> x => 3/2[ezan el domain = [-2/3 , 0
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? f(x) = 1/2 cos(x) ,, find the Range (3
mnodrob be nos kol el she2at <-- 1 => cosx => 12/1 => cosx 2/1 => 2/1[ezan el Range = [-1/2 , 1/2
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nfs mabda2 el so2al el 3 <-- !? f(x) = 2sinx ,, find the Range (4
[Range = [-2,2
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nafs mabda2 el so2al el 3 <-- ? f(x) = sinx+4 ,, find the Range (5
[Range = [3,5
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sin^-1 (sin 7pi/3) = pi/3 (6
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sin^-1 (sin 2pi/3) = pi /3 (7
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sin^-1 (sin 4pi/3) = -pi/3 (8
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hada nafso mwjood 7alo bel daftar mnroo7 mno5ed el e lal 2traf w <-- ln x+ ln(x+1)=1 (9
bn2ol w bel nehaya
mntb2o 3la 8anoon el momyaz w bas <-- betla3 m3i x^2+x-e=0
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ln3/ln2)+5) <-- ln 2^(x-5) = ln 3 (10
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hada el jwab <- lim x^4 cos(2/x) = 0 (11
0<-x
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?? f(x) = (4x-1)/(2x+3) ,, find f^-1 ,, Range^-1 (12
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?? = f(x) = (x^2-1)/(x^2-x+2) ,, V.Asy (13
x=2,-1
hala hoon <-- ((x-1)(x+1))/((x-2)(x+1)) <-- hala hada el so2al mmken ykoon maktoob haik
es7ekom te5tesro el x+1
elii jwabha -1 hya e7da ne8at el V.Asy w <-- elii bel bas6 m3 elii bel ma8am l2noo el x+1 =0
eza e5tsrtoha
betro7 w hada 3'alat so mmken 7ada y3'lat hoon
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er so2al 7aykoon fe rasmeh w ne3mlelha 7alat el up w el down w el lift w el right bas 25 (14
7aktelna lma
: ne3mlelha up 2w down lazem en7otelha el e7dathyat
a) f(x)+9
(b) -f(x
(c) f(-x
a hya 3dd thabet <- (d) f(ax
: ‫ﺭﺍﺑﻁ ﺍﻟﺑﻭﺳﺕ ﻋﻠﻰ ﺍﻟﻔﻳﺱ ﺑﻭﻙ‬
http://goo.gl/HjZRVv <<<<<<