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+# Opgave 1
+
+## Exercise 9.2
+
+**T(n) = 3T(n/2) + n**
+
+a = 3
+b = 2
+d(n) = n
+
+a ? d(b) -> 3 > 2
+
+Svaret er derfor O(n^log2(3)) = O(n^1.59)
+
+**T(n) = 3T(n/2) + n^2**
+
+3 ? 2^2 -> 3 < 4
+
+d(n) = n^2 hvilket betyder at O(n^2)
+
+**T(n) = 8T(n/2) + n^2**
+
+8 ? 2^3 -> 8 = 8
+
+d(n) = n^3 hvilket betyder at O(n^3 log2(n))
+
+## Evercise 9.3
+
+**T(n) = 4T(n/3) + n**
+
+a = 4
+b = 3
+d(n) = n
+
+4 ? 3 -> 4 > 3
+
+Derfor er svaret O(n^log3(4)) = O(n^1.26)
+
+**T(n) = 4T(n/3) + n^2**
+
+4 ? 3^2 -> 4 < 9
+
+d(n) = n^2 hvilket betyder at O(n^2)
+
+**T(n) = 9T(n/3) + n^2**
+
+9 ? 3^2 -> 9 = 9
+
+d(n) = n^2 hvilket betyder at O(n^2 log2(n))