Mathematics Exercises - Detailed Solutions
Date: March 21, 2025
Exercise 1
Solve for x: 4x - 5 = 11
Solution:
4x - 5 = 11
Add 5 to both sides: 4x = 16
Divide by 4: x = 4
Exercise 2
Find the derivative of f(x) = 3x^4 + 2x^2 + 7
Solution:
df/dx = 12x^3 + 4x
Exercise 3
Solve the quadratic equation: x^2 - 6x + 8 = 0
Solution:
(x - 4)(x - 2) = 0
x = 4 or x = 2
Exercise 4
Find the area of a rectangle with length 10 and width 5
Solution:
Area = length * width = 10 * 5 = 50
Exercise 5
Date: March 21, 2025
Exercise 1
Solve for x: 4x - 5 = 11
Solution:
4x - 5 = 11
Add 5 to both sides: 4x = 16
Divide by 4: x = 4
Exercise 2
Find the derivative of f(x) = 3x^4 + 2x^2 + 7
Solution:
df/dx = 12x^3 + 4x
Exercise 3
Solve the quadratic equation: x^2 - 6x + 8 = 0
Solution:
(x - 4)(x - 2) = 0
x = 4 or x = 2
Exercise 4
Find the area of a rectangle with length 10 and width 5
Solution:
Area = length * width = 10 * 5 = 50
Exercise 5
