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Please explain all steps in detail from your own work for good feedback. 6. A function's derivatives help provide information about its graph Similarly, a

Please explain all steps in detail from your own work for good feedback.

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6. A function's derivatives help provide information about its graph Similarly, a function's gJaph helps provide information about its equation. a] A parabola ofthe form Jr = M2 + bx + .2 passes through the point [1, 1). The line 3; = 3x lies tangent to the parabola at the origin. Find a, b, and c. h] For what constants c. and l! is [1, 6) an inection point ofthe curve 3; = x3 + (1.172 + bx + 1? T. In Calculus 2.. we sometimes use the inverse trigonometric operators. 1 1 a] Explain in words the meanings of sin" it, cos'1 3:. tan'1 3:. and sec .17. h] List the domain restrictions placed upon each of these functions. c] Explain why these domain restrictions are necessary

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