📢 Shares

Find the derivative of the polynomial function f(x) = x³ + 2x² - 5x + 3 using the power rule. The derivative is f'(x) = 3x² + 4x - 5.

Learn how to solve the definite integral ∫₀² (x² + 2x) dx, step-by-step, and discover the answer: 20/3.

Find the derivative of the polynomial function f(x) = x³ + 2x² - 5x + 3 using the power rule. The derivative is f'(x) = 3x² + 4x - 5.

Solve the absolute value inequality |x - 3| ≤ 4. The solution is -1 ≤ x ≤ 7.

Solve for x in the inequality 2x - 7 > 5. The solution is x > 6.

Solve the system of equations 2x + y = 8 and x - y = 1. The solution is x = 3 and y = 2.

Solve the quadratic equation x² + 5x + 6 = 0. Factoring the equation, we find the solutions are x = -2 and x = -3.

Solve the equation 3x - 7 = 20. Find the value of x in this simple algebraic equation. The solution is x = 9.

Find the height of a triangle with an area of 24 square centimeters and a base of 8 centimeters. The solution reveals the height to be 6 centimeters.

This math problem asks you to calculate the area of a composite shape made up of a rectangle and a triangle. The rectangle has a length of 7 cm and a width of 5 cm, while the triangle has a base of 4 cm and a height of 5 cm. The solution involves calculating the area of each shape individually and then adding them together to find the total area, which is 45 cm².