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Please help with practice problems 1, 2, and 3. 1) Find the hundredth derivative ofp (m) : (a: + $5 + $7)10(1 + 3:2)11 (3:3

Please help with practice problems 1, 2, and 3.

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1) Find the hundredth derivative ofp (m) : (a: + $5 + $7)10(1 + 3:2)11 (3:3 + 3:5 + m7). Justify your answer. 2) Use the Chain Rule to express the second derivative of f o gin terms of the rst and second derivatives of f and g. 3) Show that for any constants M, k, and a, the function y(t) = %M(1 + tanh (@D I satises the logistic equation: y_ : 19(1 i). y M em 7 62\" 82$ 7 1 Note: The function tanh is the hyperbolic tangent function L'.' : tanh a: : : . 823 + 62: 821: + 1

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