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Answer 1 To find the derivative of a composite function using the chain rule, identify the outer function f(u) and the inner function u=g(x). The chain rule states that the derivative of f(g(x)) is f'(g(x)) * g'(x). Differentiate the outer function...
Answer 1 The Harlem Renaissance profoundly influenced American music and arts culture by fostering the development of jazz, blues, and gospel music, while also promoting African American literature, visual arts, and performance arts. It helped to...
Answer 1 To prove that the sum of the interior angles of a regular polygon is (n-2)×180°, consider dividing the polygon into (n-2) triangles. Each triangle has an angle sum of 180°. Thus, the total interior angle sum is (n-2)×180°.[yarpp...
Answer 1 The derivative of a function measures the rate at which the function's value changes with respect to a change in its input value, often interpreted as the slope of the function. The integral of a function, on the other hand, measures the...
Answer 1 To calculate the height of a triangle given its base length and area, use the formula: height = (2 * area) / base. This formula derives from the basic area formula for a triangle, which is area = 0.5 * base * height. Rearrange it to solve...
Answer 1 Herman Melville portrays the theme of isolation in 'Moby Dick' through the characters' physical and psychological experiences. Captain Ahab's obsessive quest for vengeance against the white whale leads him into profound isolation, distancing...