The gate around a parking lot has a perimeter of 84 feet. If the length, 1, of the parking lot is 12 feet longer than the width ,w, of the parking lot , then the length in square feet is what

The answer is    (d) 7/2======we have    we also  have an integral      notice how function f splits up at x = 0. there's a left piece and a right pieceso we'll need to do the same thing with our integral: split it at x = 0we use a property of integrals that allows us to split up and sum:     notice that for the piecewise function f, the function has the equationf(x) = x when x  ≤ 0. so for the integral  , f(x) = x so it changes into      for the piecewise function f, the function has the equationf(x) = x+1  when x  > 0. for the integral  , we have    therefore, back to our splitted integral:    

Based off the appearance of the peppered moth, its markings would not be advantageous in a lush green ecosystem . this could cause their population to decrease as the camouflage factor would be somewhat useless and make them much more vulnerable to predators .hope this : )