2z Evaluate SSSG x²+y² Z = x² + y² and between x² + y² = 1 and x² + y² = 4. Answer: 3π - dV where G is the solid above the xy —plane, below
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- Find the Integrating factor of: dy + у. sec5x tan5x dx 1 (sec5x + tan5x) 5 sec5x — tan5х + 5 O sec5x + tan5x O NoneDetermine the surface area of the solid obtained by rotating y=v9-x from -Zsxs2 about the x-axis. A 22 pi B 23 pi © 24 pi D 25 piFind an appropriate change of variables (and then use it) to evaluate J 1/₁₂ (x + y)² ex²-y² dx dy R where R is the square with vertices (1, 0), (0, 1), (-1,0) and (0, -1).
- The top of a ladder slides down a vertical wall at a rate of 0.15 m/s. At the moment when the bottom of the ladder is 3m from the wall, it slides away from the wall at a rate of 0.2 m/s. How long is the ladder (in meters)?Evalute ff Rx²dA, where R is the region in the first quadrant bounded by the hyperbola xy = 16 and the lines y = x, y = 0, and = 8 X =b) = Evaluate the value of I = f(eº – 3x)dx + (6xe³y + y)dy, where C is the parabola y C (0, 0) to (4,0). I x² - 4x from
- An airport is located at D(0,0). A plane is currently positioned at C(-9, - 16). The radar system at the airport covers the area defined by x2 + y2 = 324. Will the plane show up on the radar at its current position? Explain.Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 3Find the points on the surface y² = 4 + xz that are closest to the origin. (х, у, 2) - (smaller y-value) %3D (х, у, 2) 3 (larger y-value) %3D