Calculus CH.P HW Worksheet Solve the inequalities
Name:
Per.
$x-7)2 2) 0 (x+)(x-5
1) 3x-8>-32
3) x2+ 4x - 45<0
4)$x-2 k7
5) 2x+3-3
6)(2x+3|<-3
7) Given the line 8x + 7y -- 6 = 0, find :
8)Given the line y = 11x + 9, find : The line parallel through the point (-1, 5)
The line through the point (3,8)
9) Write the equation that passes thru the following points : a) (-3,6) and (2,7) b) (4,-6) and (4,11)
c) (10,-3) and (7,-3)
Find the domain for each 10) gx()=x2
11) x=5
12) gx()=logx
x+5
Vx +13 15) f ( x - 2
13) f x( x2- 3x - 40
14) g x()=V12x+7
5-X 18) f x()= x2+2
17) f x)=V17-x
x+2
Solve for x from b,2 n
-V2 b) sinx= 2
19a)cosx= 2
c) tanx= V3
Solve for x from p,360] (to nearest degree) 20a) cosx=-0.817 b) tanx=-0.817
c) sinx=0.817
21)cos2x+cosx=0 from[0,2r)
22) 5sinx+4sinx-1=0 from [0,360)
Sketch x2 + x -12 23) y = x - 3
x for x < -1 24) f()= 2x2 for -1 x2 4 for x>2
4
2
2 1
2 3
-2
5 6 25) If cosx= and cscx= 6 V11 find remaining four trig. functions
24 26) If tanx= in Q2. 7
find remaining five trig. functions
sin x =
secx =
sin x =
cosx =
cot x =
tan x =
CSC X =
secx =
cot x =
Find each 27a) sin0=
b) csc90=
c) csc180=
d) sin270=
e) sin360=
28a) cos0=
b) sec90=
c) sec180=
d) cos270'=
e) cos360=
29a) tan0=
b) tan90=
c) cot180=
d) cot270=
e) tan360=
30a) sin0=0
b) sin0=1
c) sin0=-1
d) csc= undef.
31a) cos0=0
b) cos0=1
c) cos0=-1
d) secO = undef.
32a) tan0=0
b) tan O= undef.
c) tan0=1
d) cot( = undef.
Composition of Functions
33)f()=3x-5 f g=
g() 3+x g k=
h()=x2
k(x)=7 g h=
h f=
k h=
h h=
=()(6J)
gh(-8)=
(f(-8=
(hf)(-2)=
(k f)(3)=
(h h)(9=
Solve the inequalities,2n)
35) sinx>1
2