An approximation to the integral of a function f(x) over an interval [a, b] can be found by first approximating f(x) by the straight line that goes through the end points (a, f(a)) and (b, f(b)), and then finding the area under the straight line, which is the area of the trapezoid. The resulting formula becomes:

lim(a→b) ∫ f(x)d(x) = (b-a)/2[f(a) + f(b)]

Write a function trapezint1( f, a,b) that returns this approximation to the integral. The argument f is a Python implementation f(x) of the mathematical function f(c). For instance, the result of trapezint1( math. sin,0,0.5* math. pi ) should be 0.7854 (with some numerical error). The result of trapezint1( abs, -1,1 ) should be 2.0.

Sarah is having a hard time finding a template for her advertising business that she may be able to use at a later date and also make it available to her colleagues

Technician a says that a shop towel should never be used to clean around the flange area before replacing an automatic transmission filter. technician b says that a dimpled transmission fluid pan can be repaired. who is right

Write a car class having two private member variables called tank and speed. write public methods called pumpgas and gofast. the method pumpgas gets an integer for gas that must be pumped. that value needs to be added to tank (no more than 20 gallons). it must return the amount of gas that is purchased ($4 per gallon). the method gofast should increase the speed by 5 each time it is called. write a constructor for the above class that initialized both variables to zero. write a tostring to display both the tank and speed when the car is printed. modify the car class to implement the interface comparable and an interface called carinter having the public methods in carinter. write the main program to create an array of size 5 of type car. create 5 car objects having each location of the array to refer to one of the cars. test the pumpgas, gofast, equals method on the array items. write an enhanced loop to print all the car values (using a tostring written last time).write a generic method to find the minimum of four items. pass int, double, char, string and car objects to test this method.