托马斯微积分第一章节与第二章节练习题

1、 | HYPERLINK / 百度首页 HYPERLINK /v2/?login 登录 HYPERLINK /cashier/browse/vipcashier?dqStatCode=topnav_joinvip&cashier_code=topnav_joinvip VIP意见反馈 HYPERLINK /apps?fr=1011 下载客户端4/13/2019托马斯微积分第一章节与第二章节练习题 - 百度文库 HYPERLINK /?fr=nav 首页 HYPERLINK javascript:void(0); 分类 HYPERLINK javascript:void(0); 精品内容 HYP

2、ERLINK /wenkuverify?from=1 申请认证 HYPERLINK javascript:void(0); 机构合作 HYPERLINK javascript:void(0); 频道专区 HYPERLINK /xtopic/wkback 百度智慧课堂 HYPERLINK /user/browse/vip/ 百度教育VIP HYPERLINK /?fr=crumbs 百度文库 HYPERLINK /?fr=crumbs HYPERLINK /edu/index 教育专区 HYPERLINK /edu/index HYPERLINK /list/10 高等教育 HYPERLINK

3、/list/10 HYPERLINK /list/108 理学Assignment-11. Find the domain and range of the function y = tan(2x ).2. If f(x) = 2 x and g(x) =3x + 1, nd(1) (f g)( 1)(2) (g f)(2)(3) (f f)(x)(4) (g g)(x)3. Write formulas for (f g) and (g f) and nd the domain and range of each.f(x) = x,g(x) =1x.4. Sketch the graphs

4、of f and (f f), where x + 1,2x 0f(x) =x1,0 x21/view/3da085c918e8b8f67c1cfad6195f312b3169eb19.html1/5 4/13/2019托马斯微积分第一章节与第二章节练习题 - 百度文库2Assignment-1.5. Describe how each graph is obtained from the graph of y = f(x)(a). y = f(x 5)(b). y = f(4x)(c). y = f( 3x)(d). y = f(2x + 1)(e). y = f(x)43(f). y =

5、3f(x) + 146. ABC is a right triangle with the right angle at C. The sides opposite angle A, B and C are a, b andc respectively.a. Find a and b if c = 2, B = /3b. Find a and c if b = 2, B = /3c. Express sin A in terms of a and cd. Express sin A in terms of b and c7. Find the average rate of change of

6、 the function over the given intervals.h(t) = cot t,a. /4, 3/4b. /6, /2/view/3da085c918e8b8f67c1cfad6195f312b3169eb19.html2/5 4/13/2019托马斯微积分第一章节与第二章节练习题 - 百度文库3.8. Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P .(1). y = x2 4x, P : (1, 3)(2). y =

7、2 x3, P : (1, 1)9. Explain why the limit does not existxlimx |x|010. If f(1) = 5, must limf(x) exist? If it does, then must limf(x) = 5? Can we conclude anything1x1xabout limf(x)? Explain.x111. Find the limits.1). lim 5h+42hh0/view/3da085c918e8b8f67c1cfad6195f312b3169eb19.html3/5 4/13/2019托马斯微积分第一章节

8、与第二章节练习题 - 百度文库4Assignment-15y3+8y23y416y22). limy012. Suppose that lim p(x) = 4, lim r(x) = 0 , and lim s(x) = 3. Findx2a. lim (r(x) + p(x) + s(x)x2x2x2b. lim p(x) r(x) s(x)x2(4p(x)+5r(x)c. lims(x)x213. Let G(x) = (x + 6)/(x2 + 4x 12).a. Make a table of the values of G at x = 5.9, 5.99, 5.999 and s

9、o on. Then estimate lim G(x).x6What estimate do you arrive at if you evaluate G at x = 6.1, 6.01, 6.001, instead?b. Support your conclusion in part(a) by graphing G and using Zoom and Trace to estimate yvalueson the graph as x 6.c. Find lim G(x) algebraically.x614. If lim f(x) = 1, ndx2x0a. limf(x)x0f(x)b. limxx0/