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Chapter 13 Solutions
Calculus: Early Transcendentals, 2nd Edition
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- SOLVE STEP BY STEP IN DIGITAL FORMAT Apply Green's theorem to obtain the result of the line integral - (7x²y — 4x)dy + (8xy³ − x²y ) dx - The integral starts at the origin so the value of y=0. Then it gets to the point (7,0) and moves to (7,4), so the value of x=7. Then it goes from the point (7,4) to the point (0,4) to the initial point (0,0), being in that last part x=0. That is, the limits of x will be from 0 to 7 and the limits of y will be from 0 to 4.arrow_forwardComplex Analysis :arrow_forwardDetermine the type of points on the X (u, v) = (u, v, u?) surface. Differential geometryarrow_forward
- 2 meters and a height h = 5 A water tank has the shape of an upright cylinder with a base radius r meters. It is filled to a level of 3 meters with water having density o = 1000 kg/m. Which integral computes the work required to pump all of the water out the top of the tank? O i 9800 - 27æ² dx L 9800 · 47x dx L 9800 · T(5 – x)² dx 9800 · 4Tx dx O i 9800 · 7(5 – x)² dæarrow_forwardQ9 - Please help me with this problem, needed the correct answer with an explanation, pleasearrow_forward2. Find the volume of the solid bounded by the sphere x² + y² + =² = 6_and the paraboloid = =x² + y° . 6V6-11 Volume = 27 3 Using a triple integral, find the volume of the region outside the sphere xr² +y² +(= -1)² = 1, inside the sphere x + y² + 3. = 4, and bounded below by - = 0.(Volume = 47)arrow_forward
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