The two concepts that the text cites as being a response to deviant behavior are:

Use the linear approximation or differentials, whichever you prefer, to approximate the number  . Round to 4 decimal places. (4 pts) Show your work in the upload submission. (1 pt) Input the final answer in the given space below. 

The height (in meters) of a projectile shot vertically upward from a point 3 m above ground level with an initial velocity of 23.5 m/s is after t seconds. (11 pts) Show your work in the upload submission. Input the final answer in the given space below. (Round your answer to two decimal places) (1 pt) The velocity after 4 seconds is [a]. (1 pt) The time the projectile reaches its maximum height is [b]. (1 pt) The maximum height is [c]. (1 pt) The time it hits the ground is [d]. (1 pt) The velocity when it hits the ground is [e].

Use the linear approximation or differentials, whichever you prefer, to approximate the number  . Round to 4 decimal places. (4 pts) Show your work in the upload submission. (1 pt) Input the final answer in the given space below. 

Find the indicated derivative using differentiation rules (not limit definitions). Simplify when possible. (4 pts) Show your work in the upload submission.  (1 pt) Input the final answer in the given space below. 

Use the two special trigonometric limits in Chapter 2 and other limit laws to find the limit below (4 pts) Show your work in the upload submission. (1 pt) Input the final answer in the given space below.

Given  (6 pts) Use the limit definition of a derivative at a point to show that f is not differentiable at a=-3 (in upload submission only). (4 pts) Sketch the graph of f and f ‘ (in upload submission only). Input the final answer in the given space below.  (2 pts) The interval(s) on which f is continuous is [a]. (2 pts) The interval(s) on which f is differentiable is [b]. (2 pts) True/False? [c]. If a function is continuous on an interval (a,b), then it is differentiable on (a,b). If the statement is false, provide a specific counterexample. [d]

Find the indicated derivative using differentiation rules (not limit definitions). Simplify when possible. (6 pts) Show your work in the upload submission.  (1 pt) Input the final answer in the given space below. 

Given the following equation (8 pts) Show your work in the upload submission. Input the final answer in the given space below. (1 pt) Use implicit differentiation to find y’.

What is the primary motivation for using the kernel trick in machine learning?