MAC 2311 Miami Dade College Quadratic Approximation Exam Practice Please answer questions they are some calculus questions. The pictures show the questions

MAC 2311 Miami Dade College Quadratic Approximation Exam Practice Please answer questions they are some calculus questions. The pictures show the questions I dont need the work just the answers. QUESTION 11
Find the quadratic approximation of fat x = 0.
f(x) =
= tan
-1
7x
Q(x) = 7x
Q(x) = 1 + 7×2
Q(x) = 1 – 7×2
Q(x) 1 + 2×2
QUESTION 12
Find the Taylor polynomial of order 3 generated by fat a.
f(x) =
ba
a = 0
6-X
P3(x)
= X
6
36
+
216
1296
P3(x) =
x2 *3
+ +
+
36 216
1296
P3(x) = 1 +
+
36
+
216
1296
P3(x) = 1
?
+
36
6
216
1296
QUESTION 9
Find the quadratic approximation of fat x = 0.
??
x=
49- x2
Q(x) = 1 + 7x
Q(x) = 1 +
Q(x) =
Q(x) = 7x
QUESTION 10
Find the Taylor polynomial of order 3 generated by fat a.
f(x) = In(x + 1), a = 6
P3(x) = In 5 –
X-6
(x-6)2(-6)
+
5
50 375
(x-6)2. (x-6)3
+
P3(x) = In 7 –
X-6
7
98
1029
+
(x-6)2
50
(x-6)3
+
375
P3(x) = In 5 + x 56
P3(x) = In 7 + 7
(x-6)2
98
(x-6)3
+
1029
QUESTION 7
Find the quadratic approximation of fat x = 0.
f(x) = xV V100 – x2
Q(x) = 100×2
Q(x) = 10x
Q(x) = 1 + 10x
Q(x) = 1 – 10x
QUESTION 8
Find the interval of convergence of the series.
§ (x-4)n
n=0
???
x < 5 3 Purchase answer to see full attachment