solved problem 38 to problem 41

Author: LambdaDrive

Chapter 5/Problem5_38.py

@@ -0,0 +1,8 @@
+def collatz(x):
+    while x != 1:
+        print(x)
+        if x % 2 == 0:
+            x = int(x/2)
+        else:
+            x = (3 * x) + 1
+    print(x)            

Chapter 5/Problem5_39.py

@@ -0,0 +1,7 @@
+def exclamation(string):
+    for letter in string:
+        if letter in 'AEIOUaeiou':
+            print(letter * 4, end = '')
+        else:
+            print(letter, end ='')
+    print('!')

Chapter 5/Problem5_40.py

@@ -0,0 +1,33 @@
+def approxPi(error):
+    divup = 4
+    div = 1
+    div1 =1
+    soma1 = 0
+    soma2 = 0
+    step = 1
+    step1 = 1
+    times = 1
+    while soma1 - soma2 != error:
+        for i in range(times - 1):
+            if step1 % 2 == 0:
+                soma2 -= 4/div1
+            else:
+                soma2 += 4/div1
+            div1 += 2
+            step1 += 1
+        for i in range(times):
+            if step % 2 == 0:
+                soma1 -= 4/div
+            else:
+                soma1 += 4/div
+            div += 2
+            step += 1
+        times += 1
+        div1 = 1
+        div = 1
+        step1 = 1
+        step = 1
+        if abs(soma1 - soma2) <= error:
+            return soma1
+        soma1 = 0
+        soma2 = 0

Chapter 5/Problem5_41.py

@@ -0,0 +1,8 @@
+def poly(coefficients, x):
+    soma = 0
+    for i in range(len(coefficients)):
+        if i == 0:
+            soma += coefficients[i]
+        else:
+            soma += coefficients[i]*(x**i)
+    return soma