2021W2 MATH 103 ALL 2021W2 Lorelei Cen Assignment Assignment_1 due 01/20/2022 at 08:00pm PST Problem 1. (1 point) This problem demonstrates how you enter numerical answers into WeBWorK. Evaluate the expression 3(-3)(4 -3-2(10)): In the case above you need to enter a number, since we're test- ing whether you can multiply out these numbers. (You can use a calculator if you want.) For most problems, you will be able to get WeBWork to do some of the work for you. For example Calculate (-3) * (4): The asterisk is what most computers use to denote multiplication and you can use this with WeBWork. But WeBWork will also allow you to use a space to denote multiplication. You can either type -3 *4 or - 12 or even -3 4. All will work. Try them. Now try calculating the sine of 45 degrees ( that's sine of pi over 4 in radians and numerically sin(pi/4) equals 0.707106781186547 or, more precisely, 1/1/2 ). You can enter this as sin(pi/4) , as sin(3.1415926/4), as 1/sqrt(2), as 2 ** ( -. 5), etc. This is because WeBWork knows about functions like sin and sqrt (square root). (Note: exponents can be indicated by either a "caret" or ** ). Try it. sin(x/4) = Here's the list of the functions which WeBWork understands. WeBWork ALWAYS uses radian mode for trig functions. You can also use juxtaposition to denote multiplication. E.g. enter 2 sin(31/2). You can enter this as 2*sin(3*pi/2) or more simply as 2sin(3pi/2). Try it: Sometimes you need to use ( )'s to make your meaning clear. E.g. 1/2+3 is 3.5, but 1/(2+3) is .2 Why? Try entering both and use the "Preview" button below to see the difference. In addition to ( )'s, you can also use [ ]'s and { }'s. You can always try to enter answers and let WeBWork do the cal- culating. WeBWork will tell you if the problem requires a strict numerical answer. The way we use WeBWork in this class there is no penalty for getting an answer wrong as long as you get it right whithin the first 10 trials. For complicated answers, you should use the "Preview" button to check for syntax errors and also to check that the answer you enter is really what you think it is. Answer(s) submitted: · 171 · - 3* 4 · sin (pi/4) · 2sin (3pi/2) · 1/ (2+3) (correct) Correct Answers: · 171 · - 12 · 0.707106771713121 · - 2 . 0.2 Problem 2. (1 point) This problem demonstrates a WeBWork True/False question. Enter a T or an F in each answer space below to indicate whether the corresponding statement is true or false. You must get all of the answers correct to receive credit. 1. - 4 <- 4 2. - 5 <- 8 3.9-1<9 4. T? 3.1416 Notice that if one of your answers is wrong then, in this problem, WeBWork will tell you which parts are wrong and which parts are right. This is