Evaluate the region of integration given by /4 cosy 6. x'siny dxdy Evaluate the region of integration given by /4 cosy 6. x'siny dxdy
16 Sketch the domain of integration and evaluate the given iterated integral 1 -dxdy (Solve the question in the answer sheet. Insert the result in the text box.) The value of the double integral:
Evaluate the double integral. (x2 y)dxdy 5. 6. Use (repeated) integration by parts to find 4x cos 2xdx. Evaluate the double integral. (x2 y)dxdy 5. 6. Use (repeated) integration by parts to find 4x cos 2xdx.
. Draw the region of in zy plane, reverse the order of integration and then evaluate the integral sin dxdy.
Sketch the region of integration, reverse the order of integration, and evaluate the integral. 24 In 8 in 8 S s 5 ex?dxdy 0 y/2 Choose the correct graph below. ОА. OB. Ос. Ay 24 In 8 | 24 In 8 in 8 Vin 8 04 0 Vin 8 0 2ſir What is an equivalent double integral with the order of integration reversed? Click to select your answer(s).
1) The region of integration of I is represented by the blue region in: O a Oc. Od 2) By reversing the order of integration of I, we get: a 1 = $secx dxdy b. I = 8 secx dxdy c. 1 = secx dxdy d. 1 - IL secx dxdy Exercise 6. Double Integral in rectangular coordinates (10 pts 10 pts) Let I= secx dydx. 1) The region of integration of I is represented by the blue region in:...
6. [5 marks] Find and classify all stationary points of f(x,y) xy+2xy 7. [6 marks] Sketch the region of integration and evaluate the iterated integral 2 r2 JC 10 (y+xy-2) dxdy. 6. [5 marks] Find and classify all stationary points of f(x,y) xy+2xy 7. [6 marks] Sketch the region of integration and evaluate the iterated integral 2 r2 JC 10 (y+xy-2) dxdy.
6. (4 pts) Consider the double integral∫R(x2+y)dA=∫10∫y−y(x2+y)dxdy+∫√21∫√2−y2−√2−y2(x2+y)dxdy.(a) Sketch the region of integration R in Figure 3.(b) By completing the limits and integrand, set up (without evaluating) the integral in polar coordinates. 2 1 2 X -2 FIGURE 3. Figure for Problem 6. 6. (4 pts) Consider the double integral V2 2-y2 (2? + y) dA= (32 + y) dx dy + (x2 + y) dx dy. 2-y? (a) ketch the region of integration R in Figure 3. (b) By completing...
(1 point) Sketch the region of integration, reverse the order of integration, and evaluate the integral 4 2 Jo (1 point) Sketch the region of integration, reverse the order of integration, and evaluate the integral 4 2 Jo
Sketch the region of the integral and evaluate the iterated integral: Slot V1 + x^dxdy.
2. (a) Sketch the region of integration and evaluate the double integral: T/4 pcos y rsin y dxdy Jo (b) Consider the line integral 1 = ((3y2 + 2mº cos x){ + (6xy – 31sin y)ī) · dr where C is the curve connecting the points (-1/2, 7) and (T1, 7/2) in the cy-plane. i. Show that this line integral is independent of the path. ii. Find the potential function (2, y) and use this to find the value of...