21. The function g has a continuous second derivative. If g (0) = 2 , g ' (0) = 4, g (3) = 5, and g ' (3) = 6, what is the value of 0∫ 3 x . g''(x) dx ?
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22. The Maclaurin series for the function f is given below. What is the value of f(4) (0) ?
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23. Let f be a differentiable function such that f (π) = 2 and f ' (π) = - 3. What is the slope of the line tangent to the polar curve r = f(π) at θ = π ?
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24. - ∞∫ 1 x^3 . 2^(x^3) dx is ...
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25. ∫ dx / (x^2 + 4x + 5) = ...
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