math 126 final exam with answers 2022 : Very important and wonderful questions for success with ease
18 views 0 purchase
Course
Math 126 final exam with answers
Institution
Math 126 Final Exam With Answers
Book
Eighth Grade Common Core Math Workbook
math 126 final exam archive, how many questions are on the math sol, how to study for a math final exam, math 126 exam archive, math olympiad algebra questions, math 126 final exam breakdown, math 126 final exam bc, math 126 final exam b answers, math 126 final exam bcc, math 126 final exam batman ...
Math 126, Winter 2022 Final Examination Page 1 of 10
1. (2 points per part) Each of the following multiple choice problems has one correct answer.
Circle it. You do not need to show any reasoning.
(a) Suppose |a ⇥ b| > a · b > 0. Then the angle between a and b is between...
(i) 0 and 45 . (ii) 45 and 90 .
☐
(iii) 90 and 135 . (iv) 135 and 180 .
If
HH/ sino
-
oi.to
>
> 0
-
,
then
latlbtcoso ,
E. b-
so
< 0 so
,
tanto)<
0
-1
isobt
.
(b) Suppose proja b = h1, 1, 1i. Then b could be...
(i) h2, 2, 2i. (ii) h 1, 1, 1i. (iii) h2, 2, 2i.
☐
(iv) h2, 3, 4i.
)
>y, =*§' 41 -1,1> =L ! 1. D. so yt =3
-
projg , ,
× >
-
,
,
(c) The intersection of the hyperboloid x2 + y 2 z 2 = 1 and the xy-plane is...
(i) a line. (ii) a circle. (iii) a hyperbola. (iv) the empty set.
☐
' '
ok , I
✗
-
+
y
(d) The surface z = f (x, y) = x3 + y 3 3x 3y has a local maximum of...
fxCx.yj-3x2-3fxxGyk6Ihgshov1dbotLbenegativet@fyCx.y
(i) f (1, 1). (ii) f (1, 1). (iii) f ( 1, 1). (iv) f ( 1, 1).
)= 3yd -3 fyyltsy )=6y
fxylx,y)=0
(e) A lamina occupies the disc x + y 1, and the density at (x, y) is ⇢(x, y) = x3 + y 2 + 2.
2 2
The center of mass of the lamina is...
(i) at the origin. (ii) on the x-axis. (iii) on the y-axis.
r (iv) none of these.
p↳y)=p↳ y)
-
posy) pay )
>
symmetric But
about both axes
, Math 126, Winter 2022 Final Examination Page 2 of 10
2. (4 points per part) For each part, consider the space curve of the vector function
r(t) = ht2 + 1, cos(t) + 4t, 3ti.
(a) Find parametric equations for the line tangent to the space curve at t = 0.
I G) =
4 ,
1
,
D
F ( o) =
'
(2g -
si - ( t) +4 ,
3)
FED =L 0,4 , 3)
: y
=
I + 4T
(b) Find the unit tangent vector to the space curve at t = 0.
in = =
(c) Find the curvature of the space curve at t = 0.
F ( t) {2 D
"
=
-
cos A)
, ,
F "( o) =
42 ,
-
1
, D
ñ (o) ✗ F (o)
40,4 3) K2 I D= 43 8)
' "
= -
,
6 -
, , ,
*
Y÷÷÷='
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller divedmark. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $8.62. You're not tied to anything after your purchase.
