APPM 1350 Final: appm1350fall2016final_sol

16 views6 pages

turquoisegnu128

31 Jan 2019

School

Department

Course

Professor

For unlimited access to Study Guides, a Grade+ subscription is required.

Document Summary

Fall 2016: (25 pts) evaluate the following integrals. (a) z 2. 1 x2 dx (a) (9 pts) let u = x2 + 1, du = 2x dx. Z 2 (x2 + 1)2 dx = z 5 (b) (8 pts) let u = 5t 1, du = 5t(ln 5) dt. 5t 1 (c) (8 pts) z 0. 1 ln 5 ln|u| + c = ln(cid:12)(cid:12)5t 1(cid:12)(cid:12) ln 5. + c or log5(cid:12)(cid:12)5t 1(cid:12)(cid:12) + c. 1 x2 dx = 6 arcsin x(cid:12)(cid:12) 1/2 = 6(0 + /6) = : (26 pts) the following problems are not related. (a) show that the function h(x) = cos x + 2x + 1 has at least one real root. Indicate an interval where the root can be found. (b) find an equation for the line tangent to y = sin3(2x) at x = /6. = 3 3/8 y = 6 sin2(2x) cos(2x) y ( /6) = 6 sin2( /3) cos(2x) = 6 .

Related Questions

See Figs 950a,b, and c which are related. A=9 on all three axes.B=4 in Fig. 950a. Answer-1=1 if z(x)=intg{y(x) dx}. Answer-1=2 ify(x)=intg{z(x) dx}. The dots in Fig 950b may be higher or lower than shown.Find C,D,E,F in Fig. 950b. The second part of this exercise deals with Figs 950a and 950c. Answer-6=3 if u(x)=y'(x)=dy/dx. Answer-6=4 if y(x)=u'(x)=du/dx. Find G,H, and K in Fig. 950c. The values of u may not be drawn to scale.