MATH 2D Lecture 24: Week 9 - Math 2D Lecture 24 Notes

-function-notation/2/ the bookmarks bar. Import bookmarks now... sin(z2) Answer (sin(0.5m)) Anawer (2e)Ve siantcos(tan(0.3x)))

MATH-2 X tation/3/ s bar, Import bockmarks now. SAGE COMLANDS Lab 1: Function Notation Nith SageMath we can easily plot tunctions over specited from-5 to 5 enter the following command intervals of the domain. For example, to graph the function /(r)- + 2r + 7 plot(x"2+2"x+7-5.5 Try this in the SageMath computation cell below we can also graph multiple tunctions at once For example, suppose we want to graph both y-nr) and the transtormaban,-n) .。 on the same axes We do this by frst defining the function r()- +2r +7 and then on the next line we tell SageMath to plot both ) aod fia)+10 on the interval -5.5 f(x)-x-2 , 2.1.7 Try entering these 2 tanes ot code in the Sage Math computation cell below We can specily the color ot each plot as tollows

tion-notation/3 ckmarks bar. Import bookmakes now EVALUATIE We can specity the colot of each plot as follows x)x*2 2 x+7 plot(Tx)Mx+10)-5.S.color Cred black) Try this in the SageMath computation cell above 5 Use the graph of y- fiz) and y-e)+10 above to describe the effect of adding 10 to the function's output 6e(r)-2เว00(ossy is the value of a Chevy Equinox in dollars, t year. after it computation cell below to graph y- ef) and y cit +5) on the interval lo,10, Rememaber, on the first line detine the function e and on the second line use the plot command to graph y n o) and y ci+5) simultaneously When you are finished go to file print, click to yout handout k on more settings and set the scale to 75 and print only page and set Then attach this printout type yout name here s the meaning, in peactical teems od clr +5p Be sure to state the e Use the graphs you printed in ppert (o) to explain the etfect on the grephs hat meanngled units) o·this S of adding S to the angument of the function Pages 123 DOLL DF G

/www.mathel com/Student/Playerflomework.aspxZhome MATH1160 JMinear Aug18 Sat Homework: Practice HW9 Score: 0 of 1 pt 4.3.5 Find the area under the given curve over the indicated interval yFX2; [2,4] The area under the curve is ( Simplify your answer.)

w.rnatnd.com/Student/playerHomework.aspx?homeworkld=49 MATH 1 1601 Minear-Aug18 Sat Homework: Practice Score: 0 of 1 pt 4.3.9 HW9 Find the area between the curve and the x-axis over the indicated interva y=100-x2 ; [-10, 10] The area under the curve is- (Simplify your answer) Enter your answer in the answer box and then click Check Answer All parts showing

MATH1160 JMinear Aug18 Sat Homework: Practice HW9 Score: 0 of 1 pt 4.3.13 3 o Find the area between the curve and the x-axis over the indicated interval y一天: [1.6] The area under the curve is (Type an exact answer.) ul Enter your answer in the answer box and then click Check Answer Clear 2 na find the area above a certain value ed to find area under curve calculator e curves calculator ith steps

Do Homework Charles Kimber-Internet Explorer MATH1160 JMinear Aug18 Sat Homework: Practice HW9 Score: 0 of 1 pt 4.3.15 Charles Kimber& 12/1/18 11 44 of 10 (0 complete) HWScore: 0% 0 Question He Explain what the shaded area represents Te fin minute Choose the correct answer below C A. The total number of pages read in t minutes O B. The total umber of minutes required to read t pages O C. The average pages read per minute in t mnutes O D. The average number of pages read in t minutes Click to select your answer and then chck Check Answer All parts showing ind the area above a certain value d to find area under curve calculator curves calcuiator enovO DOVO F2 FS Fe F12 ← Backspace 3 O P Shit

Do Homework- Charles Kimber - Intenet Explorer https://www Student/PlayerHomework.aspx?homeworkld- 4953079958questionld-18 TIII MATH 11 60」Minear,Aug18,Sat m Homework: Practice HW9 13 Score: 0 of 1 pt 1 8 of 10 (0 complete) Bus Econ 4.3.63 A company estimates that its sales will grow continuously at a rate given by the function so 17e Und where S'(t) is the rate at which sales are increasing, in dollars per day, on day t a) Find the accumulated sales for the first 8 days. b) Find the sales from the 2nd day through the 5th day. (This is the integral from 1 to 5.) ton a) The accumulated sales for the first 8 days is s Cal (Round to the nearest cent as needed.) h.c we ng ne or en e Enter your answer in the answer box and then click Check Answer ti 1 Pemaining Clear A find the area above a certain value ed to find area under curve calculator e curves calculator ve calculator with stepS

ve Do Homework-Charles Kimber- Internet Explorer https//www TII MATH1 160」Minear Aug18-Sat m Homework: Practice HW9 13 Score: 0 of 1 pt 10 of 4.4.3 Find the area under the graph of f over the interval [-2,3]. s.c Un 2x x>1 The area is. (Simplify your answer.) 5 we ng hel tor etw c.u en te Enter your answer in the answer box and then click Check Answer n/2 rma o find the area above a certain value ted to find area under curve calculator

A portion of the graph of the function fix) is shown in the figure below. The function f(x) is piecewise linear for 3 sx 6 and the area of the blue shaded region A is 3nt/2 y = f(x) -2 Compute each of the following (without using a calculator, so leaving sin(37), etc). If there is not enough information to compute value exactly, write NOT ENOUGH INFO. (a) Find (fx) +2) dx. Answer: f(x) + 2) dx = (b) Find the average value of h[x) on the interval [0,4]. Answer (c) Let J(x) = sin(π f(x)). Find J'(3.5). Answer: J'(3.5) (d) Let Flx) be an antiderivative of fíx) with F(4)-5. Find an equation for the tangent line to the graph of H(x) at x4 Answer (e) Let g(x)=ex Findl. (f(x)g,(x) + f,(x)g(x) dx. Answer: I‘ (f(x)g,(x) + f,(x)g(x) dx-