Chris wanted to transform the graph of the parent function y -cot(x) by horizontally compressing it so that it has a
period of 3 units, horizontally translating it a units to the right, and vertically translating it 1 unit up. To do so, he
graphed the function Y-CO
as shown. What did he do wrong?

Find the arc length parameter along the given curve from the point where tequals=0 by evaluating the integral s(t)equals=integral from 0 to t startabsolutevalue bold v left parenthesis tau right parenthesis endabsolutevalue d tau∫0tv(τ) dτ. then find the length of the indicated portion of the curve r(t)equals=1010cosine tcost iplus+1010sine tsint jplus+88t k, where 0less than or equals≤tless than or equals≤startfraction pi over 3 endfraction π 3.

Thales was an ancient philosopher familiar with similar triangles. one story about him says that he found the height of a pyramid by measuring its shadow and his own shadow at the same time. if the person is 5-ft tall, what is the height of the pyramid in the drawing?

What numbers are included in the set of integers? what numbers are not included?