Math140 equivalent working through, Summaries of Mathematics

Summary math140 worksheet walkthrough

Typology: Summaries

2023/2024

Uploaded on 02/29/2024

arshiyas
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Qui26
e?
a)
yC0SX
=
x
2
+
y2
EY
(eY(**)
=
0
-
1
=
0
soy'(x)
=
0
·Yos*
yl-sin2
e
b)
tan-y)
=
x
+
xy2
Lu
=
y(x)
ser
has
no
value
of
which
dX
y
=
2
x
+
ysinx
8
·(u)(ixy)x"
8
1
+
y21
+
x2y
e
will
=
0
103x-2y
&xYy2
*
It
y2
+
2
6)
f(x)
=
45,x)-tan-1(x)
e
ins
as
Y"-14e
t
(1tX2)
(xY(1+x4y))
-2xy
(multiply
get
rid
of
=
1
+
xyz
+
y2
+
xYyY
-
zxy
E
Fraction)
X
2
-2xy
-
2x3y3
*
The
rate
on
the
quiz
e)
volume:
I
r
f)
15
ft
was
in
14
or/sec
Wasn't
sure
what
to
use
rate
of
change
=
Ecresmin()
y
=
?
but
414
$14
felt
very
large
&
the
formating
seemed
need
to
find
didt
&
diameter:
20cm
like
it
may
have
meant
by
x
=
10
which
makes
more
sense
*
*5r2
=
412
-
2
=
4N/187
=
I
but
quiz
makes
it
unclear
U
(constants)
L
r
=
0.0039 8
pythagoren
=
x
2
+
yz
=
15
-
10
+
y2
=
treat
as
y'essentially
2x()
+
2y(8)
=
0
y
=
12y
->
y
=
11.1803
or
Y80π
crymin
2(10)(Y)
+
2y(22)
=
0
2y()
=
-
-
-
-
ros
y
=
02
e

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Qui

e?

a) yC0SX = x^2 + y2 EY (eY(**)

(^0) soy'(x) = 0

·Yos*yl-sin

e

b)

tan-y) =x+xy

Lu= y(x) ser has^ no value of^ which dX y =

2 x^ +ysinx 8 ·(u)(ixy)x"

  • y21 + (^) x2y e will = 0 103x-2y &xYy

It

y2+ 2

  1. f(x) = 45,x)-tan-1(x)

e

ins

asY"-14e

t (1tX2) (xY(1+x4y)) -2xy^ (multiply get rid^ of = 1 + xyz + y2+ xYyY - zxy (^) E Fraction) X (^2) -2xy - 2x3y *The rate on^ the quiz e) volume:I r f) (^15) ft was in 14 or/sec Wasn'tsure^ whatto^ use

rate of^ change =^ Ecresmin()^

y =? but 414 $^14 feltvery large &^ the^ formating seemed need to^ find^ didt & diameter:20cm^ like^ it^ may have^ meant^ by x =^10 which^ makes^ more^ sense

**5r

= 412 - 2 = 4N/ = I

butquiz makes^ itunclear

U

(constants) L r = 0.00398 pythagoren^

= x^2 + yz = 15 - (^10) + (^) y2 = treat as y'essentially^ 2x()+ 2y(8)=^0 y = 12y -> y = 11. or Y80π crymin 2(10)(Y) + 2y(22) =^0 2y() =^


- ros y= 02 e