Find the area of the region enclosed by f(x) and the x-axis for the given function over the specified interval.

Step-by-step explanation:

Complete Question

The complete question is  shown on the first uploaded image

The  area is  

Step-by-step explanation:

   From the question we are told that

     The  first equation is      

      The  second equation is    

This means that the limit of the area under the enclosed region is limited between -2 to  1  on the x- axis  for first equation and  1 to  3 for second equation

    Now  the area under the region is evaluated as

answer: the answer is 40.82

step-by-step explanation: 3.14 x 13(or half of 26) to the power of 2

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .