MCV 4U Test1 Limits,Rates of Change. Name: Date: Knowledge and Understanding continued... 5. Consider the function f(x) = Vx + 10 : Using the correct formula from #3, calculate the instantaneous rate of change of f(x) at x = 9 (4 marks) MCV 4U Test1 Limits, Rates of Change. Name: Date: Part D: Application (20 marks) Please show the proper steps. Extra Space at bottom of test. 11. Evaluate the following limits. If the limit does not exist, write DNE. (3 marks each) (Full marks will be awarded for proper form such as fraction lines drawn properly and = signs). 11a) lim 2x2 -18 x-4 Vx-3 3-- 3 11b) lim x+1 x-0 the Final\fMCV 4U Test1 Limits, Rates of Change. Name: Date: 12. a) Consider f (x) =: x-1 2x+1 and use, mtangent = lim im (ath ) -f( x ) - to h determine the simplified expression in terms of x for the slope of any tangent to f (x), and after your expression is simplified, state the slope at P (3, ,) [6 marks] b) Determine the equation of the tangent to f (x) at x = 3. Write the Final answer in Standard Form Ax + By + C = 0, A 2 0 and no fractions or decimals. [2 marks] J - y, = m ( x-x, )