Find the points on the curve where the tangent is horizontal or vertical. if you have a graphing device, graph the curve to check your work. (enter your answers as a comma-separated list of ordered pairs.)x = t^3 - 3t, y = t^2 - 4

There is a horizontal tangent at (0,-4)

The tangent is vertical at (-2,-3) and (2,-3).

Step-by-step explanation:

The given function is defined parametrically by the equations:

and

The tangent function is given by:

The tangent is vertical at when

When t=1,

and

When t=-1,

and

The tangent is vertical at (-2,-3) and (2,-3).

The tangent is horizontal, when or  

When t=0,

and

There is a horizontal tangent at (0,-4)

c

step-by-step explanation:

c

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.