Use the arc length formula to find the length of the curve y = 4x - 1, -3 lessthanorequalto x lessthanorequalto 2. check your answer by noting that the curve is a line segment and calculating its length by the distance formula. 4 squareroot 17

5 is the answer.

Step-by-step explanation:

y= 4x-1

taking derivative with respect to x ,we get

Using distance formula

we have points

at x =-3 the value of y = 4(-3)-1= -12-1 = -13

at x =2 the value of y = 4(2)-1 =7

points are ( -3,-13) and (2,7)

distance formula =

                             =

                             =

                             =

                             =5

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.