Assignment2 Name: Due Date: _ Max Marks: 80 MCV4U Rubric for marks Knowledge & Identifying the correct derivative rule and applying it to the N Understanding problem. Communication Writing all the steps and simplifying the answers. AN Thinking Numerically solving the question correctly. Application Knowledge & Communication Thinking Application Understanding 20 20 20 20 1. For the function f(x) = ax* + bx3 - 4x2 + 2cx + 14 determine the values of a,b and c if f(-2)=2 f (-2)=16 and f"'(-2)=-8 2. The base b and height h of a triangle are represented by b = (t + 3)2 and h = t2 + 3. Determine the rate of change of the area of the triangle when t=3 3. Show that there are no tangents to the curve y = 7x5 - 6x2 that have a slope of -2 4. Determine the equation of the tangent to f (x) = (x3 + 3 x3) (-4x2 + 5) at x=8 5. Determine the equation of the tangent to the graph of y = -2xcos2x at x = # 6. Calculate the slope of y = sint+1 when x = " sinx-1" 7. Determine the coordinates of the local extrema for y = xe i B. Determine the equation of the tangent at y = ezx-1 at x=1 9. Consider the function f(x) = 3x2 and g(x) = 4x3. Determine the coordinates of the points on the graph of f(x) and g(x) where the tangent lines have the same slope. 10. Determine the slope of the tangent at x=1 for the function y = 2 -27 3x2+x-2