QUESTION 18 Use the substitution z = tan(x/2) to evaluate the integral / 3-cos e de ОА. tan-1 ( ✓2 tan 2 --()) +C OB. tan tan +C V2 OC V2 tan 2 Etan () )+c 2 OD. 1 tan tan +C 2 OE. tan V2 tan +C 2
16. Question Details LarCalc11 14.6.017. (3865000) Set up a triple integral for the volume of the solid. Do not evaluate the integral. The solid that is the common interior below the sphere x2 + y2 + 2+ = 80 and above the paraboloid z = {(x2 + y2) dz dy dx L J1/2012 + y2 Super 17. LarCalc11 14.7.004. (3864386] Question Details Evaluate the triple iterated integral. 6**6*6*2 2/4 2 2r rz dz dr de Jo lo 18. Question Details...
q2 please (1) Evaluate the integral (r-1) min(a, y) dy dr, Jo Jo where min(x, y) is the minimum value of r and y. (2) Let f,g : R → R be functions of one variable such that f" and g" are continuous. Show that (f"(x)-g"(y)) dydx = f(0) + g(0)-f(2)-9(2) + 2f'(2) + 2g'(0). o Jo (3) Let a > 0. In spherical coordinates, a surface is defined by r = 2acos φ for 0 φ 1. Find the...
Question Use cylindrical coordinates to set up the triple integral needed to find the volume of the solid bounded above by the xy-plane, below by the cone z = x2 + y2 , and on the sides by the cylinder x2 + y2 = 4. a) 06.* %* ["dz dr do b) $* * S*rde de do JO 0% ] raz dr do a) $** [Lºdz dr do 0906.*|*Lºrdz dr do 2 po dz dr do Jo J- O J-...
Please do #16 AND #17 parts in clear legible handwriting. Explain answers in clear work and detail. The final answers are provided for each part/problem to use as a reference to check work. If both problems are not completely done, I WILL mark you down and give a thumbs down. Thank you 16) Sketch the region of integration and evaluate by changing to eV2x-x 1 dy dx 2-In(1+ 2) polar coordinates. 17) Let E be the region above the sphere...
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5. (a) Find all complex z satisfying 24 + 16 = 0. (b) Find the inverse Laplace transform of F(s) = 116 using the inversion formula 8(e) = 221 /** *F(2)dz 2ni Jo-100 and the Cauchy residue theorem. Indicate for which values of o the above is valid. Describe clearly the contour you are using.
QUESTION 17 дz If xyz +2 = 15 defines z implicitly as a function of x and y, then дх (2,1,3) 1 ОА 4 Ов —1 о о 3 OD. — 4 OE 3 8
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Fest ALEKS Ca'p. Week 3 Homework < 17 18 19 20 21 22 23 24 Question 34 of 37 (1 point) Attempt 1 of 3 Evaluate the combination. 10 = Х 5