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Answer 1 To find the asymptotes of a rational function, identify vertical asymptotes by setting the denominator equal to zero and solving for x. Horizontal asymptotes depend on the degrees of the numerator and denominator: if degrees are equal,...
Answer 1 A chemical change involves the formation of new substances with different properties, often irreversible, and involves breaking/forming chemical bonds. A physical change affects the form or state of a substance without altering its chemical...
Answer 1 The derivative of the function f(x) = 3x^2 + 2x + 5 is found by applying the power rule to each term. The derivative of 3x^2 is 6x, the derivative of 2x is 2, and the derivative of the constant 5 is 0. Therefore, the derivative f'(x) = 6x +...
Answer 1 The primary causes of global warming include the burning of fossil fuels, deforestation, and industrial processes, which increase greenhouse gas emissions. Mitigation strategies involve transitioning to renewable energy sources, enhancing...
Answer 1 To solve a system of linear equations using the substitution method, first solve one equation for one variable. Substitute this expression into the other equation. Solve the resulting equation for the second variable. Finally, substitute...
Answer 1 To find the length of the missing side in a right-angled triangle, use the Pythagorean Theorem: a² + b² = c², where 'c' is the hypotenuse. If you know the hypotenuse and one leg, rearrange to find the other leg: a = √(c² - b²) or b = √(c² -...