Question 14 Consider the integral. x(x + 5)8 dat Which of following integrals is equivalent to...
Question 13 Consider the iftegral 22 -dz V1 + 23 Which of the following integrals is equivalent to this under the substitution u = 1 + 23? u2 du V1+23 Ta s rudu (x - 1) du Set 3 du yu 1 du yu
QUESTION 3 Which of the following is equivalent to x/x- 2 dx if the substitution u=x-2 is used? ºs (w/2-2012) du 5'(W12-201/2) du 1 (4312 + 20 +21/2) du O plusi2 (43/2 + 2u1/2)du
Question 14 7 pts Consider the line integral F. dr where REC IND РІ. F(x, y, z) = i + (x+yz)j + (xy – z)k and C is the boundary of the plane 2 + y + z = 4 in the first octant, oriented in the counterclockwise direction when viewed from above. the following double integrals is equivalent to this line Using Stokes' Theorem, which integral? °6964 (3 - 2z+1) du dz (2x + y) dy da Question 12...
Consider: S x2-yds, C: r(t) = (e"? 2, 1+e'), te[0,2] Which one of the following "regular" integrals represents the above line integral. dt O a. Ob. V 4 dt 0 S'Vertel dat O d.o Question 8 10 point Consider: | <x?,v/dr, C: r(t) = (sint, cost), te[0,1] Which one of the following "regular" integrals represents the above line integral. S". cost sint - cost sint dt O a. o П 1 sin2tdt 0 s "cost sin’t + cost sint dt...
Question 9 Q1C Given the following integrals: Which of the integral(s) can be evaluated using the formula du (i) and (ii) only (ii) only • (i) and (iii) only (i) only
QUESTION 4 pſ3 p√3-8² √4-x² - y² Which of the following integrals is/are equivalent to soos LV***** 1 dzdy dx? rdz dr de 31 '5" 6" Secop sing dp døde IL/*** 6" 6" Sp?sino dpdo de $"p?sing dp do de 1/3 2 sec TV3 rdz dr de 1 %*%**%*-: 6" Solo branco r dz dr de
Consider the graph of the functi y = f(x) 14 6 Evaluate the following integrals by interpreting them in terms of areas: [* f(e)dx = 4 a» [° s(m) do = 6 <-> ["s(e) dx = 8 (0 [° f(x) dx = 12 = 12
Evaluate the following integrals. Integral x*ln(x^2+3x+2)dx 2. (8 points) Evaluate the following integrals. Answers without supporting work will re- ceive no credit. (a) (5 points) | < ln(x2 + 3x + 2) dx
Given the integral: ∫ d x x 5 9 x 2 − 1 Identify the following in order to complete a trigonometric substitution: From the radical expression, what is a? What is u? What should the trig substitution be? [That is, complete the appropriate substitution: u = a ⋅ sin( θ ), a = a ⋅ tan( θ ), or u = a ⋅ sec( θ )] Do NOT compute the integral. Just identify the appropriate substitution.
C V I return K shift M 9e ation 14. Consider the triple integral dzdx dy representing a solid S. Let R be the projection of S onto the plane z=0. (a) Draw the region R. (b) Rewrite this integral SSls dzdy dx. as 15. Consider the transformation T: x = 2u + v, y = u + 20. (a) Describe the image S under T of the unit square R = {(u, u) | 0 using a change of...