Evaluate the following integral, by using a suitable change of variables rr r (2x − y 2 )dx dy, where r is the region bounded by the lines x − y = 1, x − y = 3, x + y = 2, and x + y = 4.

If f(x)=3x+1 and f^-1=x-1/3, then f^-1(7)=

Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.

Match each whole number with a rational, exponential expression 3 square root 27^2find the domain and range of the exponential function h(x)=125^x. explain your findings. as x decreases does h increase or decrease? explain. as x increases does h increase or decrease? explain.