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I need help with 3 and 4 3. Let fbe the function defined by f(x) = 2x + 3e *, and let g be a

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I need help with 3 and 4

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3. Let fbe the function defined by f(x) = 2x + 3e *, and let g be a differentiable function with derivative given by g'(x) = -+ 1+ 4 cos X It is known that lim g(x) =0o. Which of the following is the value of lim J(x) g (x) g ( x) = inx + sin( (A) N/ - X -5x. -5 (C) nonexistent (D) 1 2 - 36 24-150*= f'() 4. A point moves along the curve y = 2x2 + 1 in such a way that the y-value is decreasing at the rate of 2 units per second. At what rate is x changing when x = -3? ay ap = - 2 units (A) decreasing by { unit / sec Sec (B) increasing by { unit / sec (C) increasing by } unit / sec Y = 2X2+1 (D) decreasing by } unit / sec - 2 2x ax at = ? x= - 3 - 3 dy

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