Questions asked by Ion

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• What is the limit of ln(x-7) as x approaches 7 from the right?
  
• What is the limit of #[(5^x)-1]/x# as #x# approaches #0#?
  
• How to solve for the derivative given this information: #f(x+h)-f(x) = 2 h x^2 + 3 h x - 8 h^2 x + 8 h^2 - 4 h^3# ?
  
• If f(x) = 2x^2 - 4x +2, how would you find the equation of the tangent of the line of f(x) at the point (5,32) and the derivative when f'(5) = 16 ?
  
• If f(x) = 3x^2 + 8x, the slope of the tangent to f(x) when x=5 is 38 and the instantaneous rate of change for f(x) is also 38, what would the equation of the line tangent to f(x) when x=5 be?
  
• 40 Coulombs of electricity was applied over a 793 second time period. What was the current expressed in mA?