MA 27 43 Review "for Final
Show that the limit for the following functions does not exist.
_ 23".
hm 2
(gr-JD—i'ioao) :1: +
(b) lim 3mg}
(aw—Mom :62 + :92
>§J\Compute the ﬁrst—order partial derivatives of the following functions.
(a) z : fly + $y_2
Math 2743 I Test 1. Name: ,
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Score: 7
1. (10 pts.) Find and Sketch the domain of the following function:
f(:z:,y) 2111(3: — 3y) + $5 — 4mg.
3 _,
mg. m ' . i 5% f ‘i
?\ é / Wm; 1% )1 i)
a?) $.11ng“? \P‘ / -—_- a
. Nil
£1 X4? 7 C
2. (10 pts.) Show th
MA 2743—01 Test 2. Name:
1. (a) (10 pts.) Use the sample points as upper right corners and use m = 3 (7% of intervals
in 3: direction) and n = 2 (7% of intervals in y direction) to estimate
3] x [72, 2].
Where R = [0,
1‘ I 3‘ I I.
'1. v‘ - . U‘ ‘ ‘ r {I ,
MA 2743-01 Test 3
Name:
“Store: ' "M k
* Show each step of your work thoroughly to get a full credit. Use back of
the sheet if you need more space.
1. (10 pts.) Using cylindrical coordinates, integrate f(m,y,z) = $2 + 312 over the solid
E , Where E is the