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23-26 need help asap 23. Suppose a differentiable function, f(x) has the properties f (2) = 3 and f'(2) = -5, and suppose g(x) is

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23-26 need help asap

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23. Suppose a differentiable function, f(x) has the properties f (2) = 3 and f'(2) = -5, and suppose g(x) is a function defined by g(x) = x f (x). Find the slope of the line tangent to the graph of g(x) at the point where x = 2 a) m = 3 b) m = 6 c) m = -5 d) m = -7 e) m - 10 24. The table below gives the values of f (x), f'(x), g(x), and g'(x) at selected values of x. x f(x) f' (x ) g(x) g'(x) -1 6 5 3 -2 1 3 - 3 -1 2 3 1 -2 2 3 If h(x) = f(g(x)), then h'(1) = ? a ) 5 b) 6 c) 9 d) 10 e) 12 25. Find the following limit: lim ex-cosx-2x X-0 x2-2x a) -1/2 b ) 0 c) 1/2 d) 1 e) nonexistent 26. The velocity of a particle moving along the x-axis is given by v(t) = 4.1 + 3 sin(0.9t). Determine the acceleration of the particle at time t = 4 a) 2.772 b) 19.389 c) -2.421 d) 1.075 e) 2.421

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