vectors
logs
polynomial Expressions
rational expressions
trig expressions
100
If p=<2,7> and k=<-3,8> find p+k
<-1,15>
100
evaluate expressions log(1/4) 64
1/4^x=64 x=-3
100
write in standard form (1+6i)(5-2i)
17+28i
100
simplify: 1/(x^2 + 2x +1) + x/(x+1)
(x^2 +1x +1)/(x+1)(x+1)
100
simplify: [sec(x) sin 2x] / [1 + sec(x)]
[ (1 - cos x)(1 + cos x) ] / [ cos x + 1 ] = 1 - cos x
200
if the magnitude is 6.4 and the direction is 38.7 degrees what are the components?
<5,4>
200
solve: log9 - log8
.0511
200
Find the remaining factors of 2x^3 + 11x^2 -21x -90; x+6
(2x+5)(x-3)
200
simplify: (3m^3 -3m)/(6m^4) x (4m^5)/(m+1)
2m^2(m-1)
200
simplify: tan 4x + 2 tan 2x + 1
( sec 2x ) 2 = sec 4x
300
Vector Magnitude Direction Components h 10 180 degrees 1. z 5 50 degrees 2. h+z 4. 5. 3. Find the 5 missing numbers in the table
1. <-10,0> 2. <3.2,3.8> 3. <6.8,3.8> 4. 7.8 5. 150.8 degrees
300
express as single logarithm log(4) u - 6log(4) v
log(4) u/v^6
300
find all possible zeros of 16x^4 -65x^2 + 4=0
+1/4, -1/4, 2, -2
300
simplify: (2m-1)/(m^2 -3m -10) / (4m^2-1)/(4m+8)
4/(m-5)(2m+1)
300
simplify: tan 2x cos 2x + cot 2x sin 2x
sin 2x + cos 2x = 1
400
If A(4,1), B(4,5), C(-4,5) Find AC
<-8,4>
400
x=1/6
x=1/6
400
factor completely 6x^3 -6x^2 -12x
6x(x+1)(x-2)
400
Find the Domain, Range, Vertical and Horizontal Asymptote of f(x)=(3x^2+1)/(x^2 + x +9)
Domain: all reals Range: y>0 VA: none HA: y=3
400
simplify: 1 / [1 + cos x] + 1 / [1 - cos x]
2 / sin 2x = 2 csc 2x
500
If h=<2,7> and i=<-3,8> what is 2h+3i
<-5,38>
500
solve: ln(x+1) - ln(x-1)=3
x= (-1-e^3)/(1-e^3)
500
find the polynomial equation given these roots -1, square root of 3, negative square root of 3
x^3 +x^2 -3x -3=y
500
Find Domain, Hole, Vertical and Horizontal asymptotes of f(x)=(2x^2 -5x +2)/(2x^2 -x -6)
Domain: All reals, except x cannot equal -3/2, or 2 Hole: x=2 VA:x=-3/2 HA: y=1
500
simplify: [sin 4x - cos 4x] / [sin 2x - cos 2x]
sin 2x + cos 2x] = 1
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