Pre-Calc Homework Solutions 214

Pre-Calc Homework Solutions 214 - 214 Section 5.3 9 9 9...

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Unformatted text preview: 214 Section 5.3 9 9 9 Quick Review 5.3 dy 1. dx dy 2. dx (c) 7 [2 f (x) 3h(x)] dx 7 2f (x) dx 9 7 7 3h(x) dx 9 7 sin x cos x 2 f (x) dx 2(5) 1 9 3 h(x) dx 2 3(4) 3. 4. 5. dy dx dy dx dy dx sec x tan x sec x c os x sin x tan x (d) 9 7 f (x) dx 1 9 f (x) dx 7 1 cot x sec x ln x (e) 1 f (x) dx f (x) dx 1 9 9 9 f (x) dx f (x) dx 7 sec x tan x sec2 x sec x tan x 1 x x f (x) dx 1 1 dy 6. dx 5 7 6 7 ln x xn 1 7 7. 8. 9. 10. dy dx dy dx dy dx dy dx (n 1)x n n 1 1 (2x 1)2 (f) 9 [h(x) f (x)] dx 9 h(x) dx 9 9 f (x) dx 9 h(x) dx 7 7 f (x) dx (ln 2)2x 2x ln 2 (2x 1)2 2 4 3. (a) 1 2 2 5 1 xe x 1 x 2 ex f (u) du 3f (z) dz 1 1 5 3 f (z) dz 1 2 (b) 1 5 3 Section 5.3 Exercises 2 (c) 2 2 f (t) dt 1 f (t) dt 2 5 5 2 1. (a) 2 1 g(x) dx g(x) dx 5 2 0 5 (d) 1 [ f (x)] dx 1 3 0 f (x) dx g(t) dt 3 (b) (c) 1 g(x) dx 1 2 8 3( 4) 5 4. (a) 0 g(t) dt 0 3 f (x) dx 5 3 1 1 f (x) dx 12 (b) 3 0 g(u) du [ g(x)] dx 3 0 2 0 (d) 2 f (x) dx 2 f (x) dx 2 1 f (x) dx 5 (c) (d) 3 5 4 g(x) dx 3 2 1 f (x) dx 1 1 f (x) dx g(r) 2 4 5 6 10 5 dr 0 1 2 0 g(r) dr 3 4 (e) 1 [ f (x) g(x)] dx 1 f (x) dx 1 g(x) dx 2 5 5. (a) 3 f (z) dz 3 f (z) dz 3 0 f (z) dz 4 6 5 5 8 f (z) dz 0 0 f (z) dz 3 g(x) dx 3 0 7 4 3 (f) 1 [4f (x) g(x)] dx 1 4f (x) dx 5 1 1 5 4 f (x) dx 1 g(x) dx 16 2( 1) 9 (b) 4 f (t) dt 4 f (t) dt 4 0 f (t) dt 3 4(6) 9 9 8 f (t) dt 0 0 f (t) dt 4 3 7 2 3 9 1 3 h(r) dr 2. (a) 1 9 2f (x) dx [ f (x) 7 2 f (x) dx 1 6. (a) h(x) dx 1 h(r) dr 1 h(r) dr 1 3 (b) h(x)] dx 7 f (x) dx 7 1 h(r) dr 1 1 1 h(r) dr 1 1 6 5 4 9 (b) 3 h(u) du 3 3 1 h(u) du 1 1 h(u) du 1 h(u) du h(u) du 6 ...
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