MATH 31A Midterm: Math 31A Exam 15
Document Summary
Try to answer the following questions without the use of book, notes or calculator; but you can use the equation sheet posted on the course website. Time yourself and try to nish the questions in less than three hours: find z . When we have an absolute value it is almost always best to break the function up into pieces. In this case for 0 and 0. In particular we note that sin| | = (cid:26) sin( ) = sin sin if 0, if 0. So using this we now break up our integral and integrate each part. )(cid:1) (cid:0) cos cos 0(cid:1) = 3. =0: (a) find d dx(cid:0)f (x)g(x)h(x)(cid:1) in terms of f (x), g(x), h(x), f (x), g (x) and h (x). This is the product rule, but instead of two functions, now we have three functions!
