. Find the magnitude and direction of the followin vectp rs 3 g. a _ S; q 93% = 3D!
(a) <3 5):; W ("m ., Fs, , 89:6? a;
(b)( 35) =>1mg$3 a: We?
(Cl(-3 -5) @Ms e: i.o+$9.;m 1351
. Draw the Velocity-time graph and the distance- time graph for the following
Practice Test 1 , 2016
1) Find derivative of f(x)= sin(ln(x+3). [5 pts]
2) If the derivative f"[x]=3x2 - Sex + 6sin (x) , what is F(x)? [5 pts]
ixgs ax- gCesGC) +4
3) Find the line tangent to f (x) = i3 at x=1. [5 pts]
x + .
- (do 1'12:'=
Foundation Practice exam
Name Not Collected
Directions: Show all World!
l_ f l - -"
,f , 3H4 4
liELer 3+4 :QUYL -_' = .v.
amnmma: m). mmwmmmmmaa).
131 11:). 31(x).mlgf(x). rmmmmmmmmmm.
(I) 0-4 (I'M-1 (C)
l) A Window is being built and the bottom is a rectangle and the
" top is a semicircle. If there is 12 meters of framing materials
What must the dimensions of the window be to let in the most
light? 20 PTS
' . +IY=I2_
1L+7sll 114@ 0
Test #1 Name:
Answer all questions, showing work unless instructed otherwise Problem 1 (25 pts]
A) Find the line tangent to F(X)=A sin[BX]+C cos[DX) at x=0. [A,B,C,D are
constants] [6 pts]
[:1ch = A 8665 CB) _ CD ghoCDx)
- c= ABCx-O)
Problem 1) A) Consider the function Y = A x 2 +Bx +C , where A,B,C are constants,
and A>0. Find the local extrema of Y. (4pts) Be sure to identify any extrema as
maximums or minimums.
B) Consider the function y= x 2 e x .
interval [-3,3]. (3 pts)
. Find the magnitude and direction of the following vectors . .
(a) (3: #5)
Cb] (3; 5)
. Draw the velocitytime graph and the distancetime graph for the following
accelerationtime graph. (Take initial velocity as 0]
WMWPHHFrI"A-v - ., u . "r'I'w
rpm/500a cfw_51,03 w
Pwa 1%in 2
Test #1 Name:
Answer all questions, Showing work unless instructed otherwise Problem 1 [25 pts)
A] Find the line tangent to F[x)=A s.in(BX)+C cos[Dx) at X20. [A,B,C,D are
constants) [6 pts]
F'cx) = A 8 Gas CB'O CD MCDO
Foundation Major Quiz (Take home]
Name Due Monday September 28
Directions: Show all Work!
. x 2
Probleml]limx 2+3x+2= M QC-lIDC + 9, QM Q-l'l)
x64 2 xp'; (3+2) X932.
= 1+1 = 1
P bl 2 .
1'0 311103ch WW lum a
0 xao x0+me xaoLCHCm"
1. A window is being built and the bottom is a rectangle and the top is a
semicircle. If there is 12 meters of framing materials what must the
dimensions of the window be to let in the most light?
2. A plane leaves New York city at 12:00 pm. The plane fli