3. (3 pts.) Convert the following double integral to an equivalent polar form but do NOT evaluate...
Use polar coordinates to evaluate the double integral. Enter an exact form, do not use decimal approximation. SAS. 159e*?-, da, where R is the disk x2 + y2 = 64 nt
Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 1 SS. In (x2 + y2 + 1) dy dx V1-x2 Which polar integral below is equivalent to the given Cartesian integral? ОА. OB. SIT (201) tortas S.S. (201) var en SSP-sora ST. m (Por) anong 1 Oc. 1 OD. Evaluate the polar integral. Choose the correct answer below. O A. (1 In 1-1) OB. (2 In 2-1) Oc. (1 In 1-1) 7T OD. z (2...
3. Draw the region D and evaluate the double integral using polar coordinates. (a) SI x + y dA, x2 + y2 D= {(x, y)| x2 + y2 < 1, x + y > 1} D (b) ſ sin(x2 + y2)dA, D is in the third quadrant enclosed by m2 + y2 = 71, x2 + y2 = 27, y=x, y= V3x.
3. Draw the region D and evaluate the double integral using polar coordinates. dA, D= {(x, y)| x2 + y² <1, x +y > 1} (b) sin(x2 + y2)dA, D is in the third quadrant enclosed by D r? + y2 = 7, x² + y2 = 24, y = 1, y = V3r.
7. Convert the rectangular equation to polar form. (3 pts) A) x2 + y2 = 48 (3 pts) B) y = 4
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Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 6 36-y2 J-J -36-In (x + y2 + 1) dx dy * 6 02 SS. (Pes) er en 100 S S. (24) 2.0 00. SS. m (+1) 7 er JOJO Evaluate the polar integral. Choose the correct answer below. O A. (36 In 36-1) OB. (37 In 37 - 37) OC. (37 In 37 -36)
Change the Cartesian integral to an equivalent polar integral, and then evaluate. 810 PV100 - y2 dx dy -10 - V100 - y2 A) 107 B) 1007 C) 2007 D) 4007 Evaluate the integral. ho 5x + 10y 25° 525-y? j*x + 10% de dx dy to dz dx dy 0 0 A) 625 B) 3125 C) 125 D) 25
Change the Cartesian integral to an equivalent polar integral, and then evaluate. ss dx dy -V16-y2 1+122 7:18 +2 1n 5) 2 (8 +2 In 5) 4 (8 + In 5) 78 +in5) 2
Convert the given integral to an equivalent integral in cylindrical coordinates and evaluate the result, 15 p/25-x² px² V x2 + y2 dz dy dx Jo
QUESTION 21 Change the Cartesian integral to an equivalent polar integral, and then evaluate. Liva-1416273 √x² + y² dx dy 64-y2 1 + x2 + y2 OA (48 +2 In 9) 2 00 (48 + ln 9) 4 Ос TT (48 – In 9) 4 OD T(48 +In 9) 2 DE T(48 +2 In 9) 4