Question One

Machine generated alternative text:
A function f(x) is definied by
Use Maple to evaluate the following limits.
lim _ f(x)
lim f(x) —
_49/11
To avoid typing errors, you may copy and paste the following in your command line
-27T -103x +126x2+864X+8641
x 4+x3 —45 P —189 x—216
xA4+x

e := abs(x^6+3*x^5-27*x^4-103*x^3+126*x^2+864*x+864)/(x^4+x^3-45*x^2-189*x-216);

limit(e,x=-3,left);

limit(e,x=-3,right);

Question Two

Machine generated alternative text:
Find a 10 significant figure approximation to the 8th derivative of
2
Select the matching answer from this list below
evaluated at x = 5_
0 0.5364931726
0 0.3065675272
0 0.9197025816
@ 0.766418818
0 0.3832094090
0 0.4598512908
0
0.6131350544
0 0.6897769362
0 0.2299256454
0 0.8430606998

evalf(subs(x = 5, diff(sin(x^2/(x^4+1))*exp(x), `$`(x, 8))), 10);

Machine generated alternative text:
exp(x), xS8
0.766418818
z 10

Question Three

Machine generated alternative text:
Suppose
determines y as a function of Assuming that the Maple command
eqn + + yA4 = 4-
dy
has been executed; which of the following Maple expressions would find
4
O
dc
implicitdiff(x.y, eqn);

Question Four

Machine generated alternative text:
Enter the global maximum and global minimum values for
over the interval [—4, 4] in the boxes below.
+ 42
+ 105 x
+ 20 x
- 225 x
- 270
Global maximum value:
Global minimum value:
86968
-323
To prevent typing errors, you can copy and paste
p:
in your Maple window

p := 5*x^6+42*x^5+105*x^4+20*x^3-225*x^2-270*x;

minimize(p, x = -4 .. 4);

maximize(p, x = -4 .. 4);

Machine generated alternative text:
105 +
4215 —2701
-323
86968

Question Five

e := (6*sin(x)+8*cos(x))*exp(-(4/5)*c*x);

ans1 := int(e, x = 0 .. infinity);

limit(c*ans1, c = infinity);

Machine generated alternative text:
4
(6 sin(x)
ansl :
8 cos(x)) exp
_infinity);
(6 sin(x) + 8 cos(x)) e
10 (16c- 15)
16c- +25
limit(c ansl, c infinity);