EXPONENTIAL AND LOGARITHMIC FUCTIONS & SEQUENCES AND SERIES
100
Add A+B
A~ 7 3 B~ 13 27
4 1 -11 0
What is
A+B=
20 30
-7 1
100
Solve for principal values of X
√2 SIN X-1=0
What is 45○
100
Write the parametric equations for 4X+Y=7
What is
X=t
Y=7-4t
100
In a complex number the formula is a+bi, in that formula which is the real number(x) and which is imaginary(y)?
What is
real number(x)= a
imaginary numbers(y)= bi
100
Log(2)8=3 in exponential form?
*(2)= base 2
what is 2^3=8
200
Find x, y, and z
x+2y+z=15
2x+3y-3z=1
4x+10y-5z=-3
What is
x=8
y=-2
z=3
(8,-2,3)
200
Find the real values of SIN 165○
What is √6-√2/4
200
Write an equation in slope-intercept form of the line whose parametric equations are Y=-2t-5 and X=5t+7
What is Y=5X-11/2
200
polar---->rectangular
P(7, [pie]/6)
What is
(7[radical over 3]/3, 7/2)
200
Log[5]6 + Log[5](x+2)= Log[5]7 ?
*[5]= base 5
what is x= -5/6
300
in a matrix the dimensions are rowxcolumn or columnxrow?
now solve...
AxB
A~ 5 14 B~ 12 5
4 9 5 15
What is rowxcolumn ...
AxB=
130 235
93 155
300
Solve for principal values of X
2 COS X+1=0
What is 120○
300
Mr. H hits a golf ball witha force to produce an intial velocity of 175 feet per second at an angle of 35○above the horizontal. He estimates the distance of the hole to be 225 yards
>write the position of the ball as a pair of parametric equations
What is
X=175t COS 35
Y=175t SIN 35-16t^2
300
Rectangular------> polar
R(4,-9)
What is
r= square root of 97
theta= tan^-1 -9/4
300
A=Pe^rt
$175.07
What is the compounded continuoulsly formula and solve... If you have $100 in your bank account and you put $5 8% interest what is your final amount after 7 years?
400
Find the Inverse of...
15 7
4 3
What is
1/17 3 -7
-4 15
400
Solve for 0○
What is
135○, 225○
400
Find the ordered pair that represents the vector from P(4,9) to Q(-5,2). Then find the magnitude of vector PQ.
What is
<-9,-7>
√130
400
Find the product of...
3(cos7/6[pie]+isin7/6[pie]) x 2(cos2/3[pie]+isin2/3[pie])
What is
6(cos(11/6[pie])+isin(11/6[pie]))
400
classify as convergent, divergent, or a divergent and harmonic series...
1 + 1/2 + 2/4 + 3/6 + 4/8 + ...
what is divergent and harmonic series
500
find the determinant...
5 -6 4
3 9 1
-2 8 -4
What is
328
500
Solve for ALL real values of X
SIN X= -1/2
What is..
7/6 pie+2pieK
11/6pie+2pieK
500
Find the inner product of 6<6,3>+4<-4,8>
What is <20,50>
500
Find the quotient of...
12(cos[pie]/4+isin[pie]/4) divided by 4(cos3/2[pie]+isin3/2[pie])
What is
3(cos-5/4+isin-5/4)
500
solve with proof by induction...
2+4+6+...2n=n(n+1)