WeBWorK assignment number Tarea1 is due : 08/28/2012 at 11:55pm CDT. The (* replace with url for the course home page *) for the course contains the syllabus, grading policy and other information.
20131-Calculo Dif Int Gilda 1IM1
This ﬁle is /conf/snippets/setHeader.pg you can use it as a model for creating ﬁles which introduce each problem set. The primarypurpose of WeBWorK is to let you know that you are getting the correct answer or to alert you if you are making some kind of mistake. Usually you can attempt a problem as many times as you want before the due date. However, if you are having trouble ﬁguring out your error, you should consult the book, or ask a fellow student, one of the TA’s or your professor for help. Don’t spend a lot of timeguessing – it’s not very efﬁcient or effective. Give 4 or 5 signiﬁcant digits for (ﬂoating point) numerical answers. For most problems when entering numerical answers, you can if you wish enter elementary expressions such as 2 ∧ 3 instead of 8, sin(3 ∗ pi/2)instead of -1, e ∧ (ln(2)) instead of 2, (2 + tan(3)) ∗ (4 − sin(5)) ∧ 6 − 7/8 instead of 27620.3413, etc. Here’s the list of the functions whichWeBWorK understands. You can use the Feedback button on each problem page to send e-mail to the professors. Match the Lines L1 (blue), L2 ( red) and L3 (green) with the slopes by placing the letter of the slopes next to each set listed below: 1. The slope of line L1 2. The slope of line L3 3. The slope of line L2 A. m = −1.9 B. m = 1.1 C. m = 0 4. (1 pt) The equation of the line that goes through thepoints (3, 10) and (3, 8) can be written in general form Ax + By +C = 0 where A= B= C= 5. (1 pt) Use interval notation to indicate the domain of f (x) = and g(x) = The domain of f (x) is The domain of g(x) is 6. (1 pt) List all real values of x such that f (x) = 0. If there are no such real x, type DNE in the answer blank. If there is more that one real x, give a comma separated list (e.g. 1,2).f (x) = x=
1. (1 pt) The demand equation for a certain product is given by p = 136 − 0.045x , where p is the unit price (in dollars) of the product and x is the number of units produced. The total revenue obtained by producing and selling x units is given by R = xp. Determine prices p that would yield a revenue of 6770 dollars. Lowest such price = Highest such price = 2. (1 pt) Anequation of a line through (-6, 8) which is parallel to the line y = −2x + 2 has slope: and y-intercept at: 3. (1 pt)
x2 − 4x
15x2 − 10x.
−6x2 + 36x + 960 13x2 + 78x − 1183
7. (1 pt) Given the function f (x) = 8x + 0 8x + 0 if x < 0 if x ≥ 0
Calculate the following values: f (−1) = f (0) = f (2) = 1. 8. (1 pt) The domain of the function 1 √ 15x + 7 is Write the answer in intervalnotation. Note: If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter −∞ as - inﬁnity and ∞ as inﬁnity . 9. (1 pt) Find the domain of the function (x + 18)(x − 15) 2.
Domain: Write the answer in interval notation. Note: If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter −∞ as- inﬁnity and ∞ as inﬁnity . 10. (1 pt) Enter Yes or No in each answer space below to indicate whether the corresponding equation deﬁnes y as a function of x. Note: Be careful, You only have TWO chances to get them right. 1. 2. 3. 4. x2 + 5y = 10 2|x| + y = 1 x + 3 = y2 3x = y2
11. (1 pt) Enter Yes or No in each answer space below to indicate whether the corresponding curve deﬁnes y as afunction of x.
vertex at (3, 2) and passes the point (0, −7). Find the quadratic function. f (x) = 14. (1 pt) The functions f (x) and g(x) are given in the graph.
Find the corresponding function values. If there is no function value, type DNE in the answer blank. 6. ( f + g)(2) = 12. (1 pt) Consider the Quadratic function f (x) = x2 − 3x − 40. Its vertex is ( , ). Its...