208 Date: Z Z
7.2 Parametric Equation Differentiation
(non-calculator section)
2
For the following, nd 3: and E521 and evaluate 3: at the indicated value of the parameter.
1. x=2t,y=3t+1att=2.
ii:
126 Date: Z Z
4.5 Eulers Method
(non-calculator section)
Use Eulers Method to approximate the given solution to the differential equation with the given initial condition and step
size.
d - _ .
1. _y
122 Date: Z Z
4.4 Logistic Differential Equations
(non-calculator section)
For the following logistic differential equations, state what the carrying capacity/ maximum population/limit as time goes
212 Date: _L_L
(non-calculator section)
; For the following problems, sketch the vector, nd the derivative, and find the integral for each vector equation at the
point indicated.
1.(3t2,5t)att=1 - \
Date: Z Z 213
7.4 Polar Equations
(non-calculator section)
Plot the following points on the given polar plane.
1- (4.2) 2-<2r:%>
v51
3:.
DJ
I
.w
m:
\_/
01
A
9)
ol?
V
\l
A
Eh
I
:E" 214 7.4 Polar Equa
Date: -[ Z 205
7.1 Parametric Eguations
(non-calculator section)
For the following problems, sketch the curve by hand (indicating the direction of the curve) and then eliminate the
parameter.
1. x=2
230 Date: [ K
7.8 Polar Area 11
(calculator section)
Find the area for the following. ouxu 1 f m: mu! 3 (
(wt) 0 inmf l(
1. The outer loop of r = 1 2 cos 6. 575 w;"'*~L-_.
J 3 L1" 2.
2.3; (I rmsewle
104 Date: Z Z
3.7 Partial Fraction and Long Division Integration
(non-calculator section)
Find the following integrals.
x3
1. fxde:
X 3 4)(3
x +3X +l
3. 7-W-
+ 7. x +9x+r+|nlx-3l+Q
X 3 X3 +DX )+0x
96 Date: Z Z
3.5 Integration by Parts
(non-calculator section)
Find the integral of the following.
1. fxe3xdx =
3
u: x VLBK
3x
du=dx 61: C)
Mi3x
du-u- 3A!
3 EJZ/Dd Y
_;
1 26 X if, ILXCUAx
u:x que