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20. The graph shows h. Use the graph to evaluate: (a) [",(*)dx (b) [**(*)dx {(x)dx (d)...
The graph af f conssts af nc segments and a semicircin, as shown in the fgure. Evaluate cach dcfinite intogral by using germetric formulas 4,2) (-4-1 (a) x)x (b) x) dx (d) ) dx (e x) Screenshot x)2 a* The graph af f conssts af nc segments and a semicircin, as shown in the fgure. Evaluate cach dcfinite intogral by using germetric formulas 4,2) (-4-1 (a) x)x (b) x) dx (d) ) dx (e x) Screenshot x)2 a*
Calc 2 Evaluate • dx = 21 (b) 20 Convergent but sum cannot be determined (d) 20 Divergent Evaluate I 21 T 21 (b) Convergent but sum cannot be determined (d) 0 (c) Divergent 00 Evaluate Σ 21 (b) Convergent but sum cannot be determined 20 20 (c) Divergent Evaluate 1 21" 0 21 20 (a) Convergent but sum cannot be determined (b) Divergent (d) 21
8.1 The figure shows the areas of regions bounded by the graph of f and the x-axis. Evaluate the following integrals: Area = 15 Area = 20 y = f) Area = 12 d a. (2 Marks) (2 Marks) (2 Marks) Sf(x) dx b. So f(x) dx C. 25"$(x) dx d. 480*f(x) dx e. 35+(x) dx 2 S4F(x) dx (2 Marks) (2 Marks) f. (2 Marks)
Use the values f(x) dx = 9 and • 5*ox g(x) dx = 6 to evaluate the definite integral. Dar 1920 (a) -8 29(x) dx (b) f(x) dx f(x) dx (0) Stra) – P2 [f(x)-f(x)] dx Need Help? Read it Watch It Talk to a Tutor
Use integration by parts to evaluate {xinx x In x dx with u = In x and dy = x dx. x In x dx = 456
a. Show that all derivatives d"f/dx of f(x)e are equal to each other and use this to b. Evaluate the derivatives d" f/da of f(x)with a a constant and use this to write c. Prove that the Taylor series in part (b) for f(x)-ea converges for all . Explain explicitly d. How many terms in the Taylor series for єェwith Zo = 0 does it take to approximate the write down the Taylor series for e" about an arbitrary point...
use residue theorem to evaluate the following integrals sin z 21) 20) Cosx dx (r? + 1) X 22) sin mx dx 2(x² + a²² (a > 0, b>0) 23) cos ex - cos bx -dx x?
w )) 4. (a) (+3) Use the graph to estimate li f()dx – 53 g(x)dx. (b) (+3) Using the graph order the following from least to greatest; g(0), and (3) Lean () dx, S(-2), 8(O)
The given graph shows the relationship of df(x)/dx vs. x. Which of the following graphs is reasonable as a plot of f(x) vs. x?
Evaluate each integral (a) (x² + x) dx (b) 6.** (secx + tanx)2 dx