Consider the function y = x-2x-2 a) Copy and complete the following tables of values. P...

 

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Consider the function y = x-2x-2 a) Copy and complete the following tables of values. P and Q are points on the graph of f(x) P Q Slope of Line PQ Slope of P Q Line PQ (-1,1) (-2,6) -5 --5 (-1,1) (0, ) 1 (-1, 1) (-1.5, 3.25) (-1,1) (-0.5, ) (-1,1) (-1.1, ) (-1, 1) (-1.01, ) (-1,1) (-0.9, ) (-1,1) (-0.99, ) (-1, 1) (-1.001) (-1, 1) (-0.999, ) b) Use results for part a to approximate the slope of the tangent to the graph of f(x) at a point P c) Calculate the slope of the secant where the x- coordinate of Q is -1+h d) Use results for part c to calculate the slope of the tangent to the graph of f(x) at point P. e) Compare answers for parts b and d. Part2: Determine the derivative of the given function by using two different methods +3 Part3: A rectangular rose garden will be surrounded by a brick wall on three sides and by a fence on the fourth side. The area of the garden will be 1000m. The cost of the brick wall is $192/m. The cost of the fencing is $ 48/m. calculate the dimensions of the garden so that the cost of the material will be as low as possible. Consider the function y = x-2x-2 a) Copy and complete the following tables of values. P and Q are points on the graph of f(x) P Q Slope of Line PQ Slope of P Q Line PQ (-1,1) (-2,6) -5 --5 (-1,1) (0, ) 1 (-1, 1) (-1.5, 3.25) (-1,1) (-0.5, ) (-1,1) (-1.1, ) (-1, 1) (-1.01, ) (-1,1) (-0.9, ) (-1,1) (-0.99, ) (-1, 1) (-1.001) (-1, 1) (-0.999, ) b) Use results for part a to approximate the slope of the tangent to the graph of f(x) at a point P c) Calculate the slope of the secant where the x- coordinate of Q is -1+h d) Use results for part c to calculate the slope of the tangent to the graph of f(x) at point P. e) Compare answers for parts b and d. Part2: Determine the derivative of the given function by using two different methods +3 Part3: A rectangular rose garden will be surrounded by a brick wall on three sides and by a fence on the fourth side. The area of the garden will be 1000m. The cost of the brick wall is $192/m. The cost of the fencing is $ 48/m. calculate the dimensions of the garden so that the cost of the material will be as low as possible.