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Mathematics - Calculus

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A) Give a possible formula for a cubic function. Assume the graph crosses the x-axis at exactly -3, 1, and 4. Assume it crosses the y-axis at exactly -12.

B) The desert temperature, H, oscillates daily between 42ºF at 4am and 82ºF at 4pm. Write a possible formula for H in terms of t, measured in hours from 4am. Give your answer using the form H = A cos(Bt) + C. Give the values for A, B, C correct to 2 decimal places.

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Solution Summary

The expert gives a possible formula for a cubic function. Complete, Neat and Step-by-step Solutions are provided.

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(A) The equation is y = -(x + 3)(x - 1)(x - 4) = -x^3 + 2x^2 + 11x - 12

(B) The function H = A ...

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