Solve lim(x → ∞)(√(x² + 7) - √(x² - 2x))

Simplify Complex Fractions: (6m/7) ÷ (m/5) ÷ 3m

Probability and Combinatorics with a Box of 12 Numbered Cards

Optimal Purchasing Strategy for Products Across Multiple Platforms

Salary Calculation for Employees and Cadres with 6% Increase and 13th Month Bonus

Right Triangle Geometry Problems: Properties of Altitudes and Segments

Minimum Jewels Calculation Using Chinese Remainder Theorem

Probability and Statistics: Gamma, Expectation, and Exponential Problems

Calculate Initial Speed of a Car Traveling 840 km with Time Constraints

Derivative of e^xcos(x-1) Evaluated at x=1

Find the Focus and Directrix of Parabola (y+3)^2 = 2(x−4)

Solve the Linear Inequality 3x + 27 < 51

Maximizing Profit for a Cost and Demand Function

Calculate the Arc Length for f(x) = x^3/12 + 1/x from 1 to 4 and the Circumference of a Circle

Calculate Relative Velocity: A Car Moving at 90 km/h Opposite to an Observer at 50 km/h

Understanding the Plane Equation 4x + 2y + 3z = 6

Market Equilibrium with Subsidies: Solving P = 40 - 2Q and P = Q - 5

Triangle with Vertices (1, 3), (1, 5), (3, 3) - Type and Properties

Solving Limits Using Direct Substitution and Undefined Limits

Proving Tangent Properties and Cyclic Quadrilaterals in Geometry