4. (24 pts) Determine 3 different orders of integration for the area bounded above by 4x...
oi o 2. Find the area of the part of the paraboloidty that is cut off by the plane -4 3. Find volume of the solid in the first octant bounded by y 2r and the plane r-4 3. Find volume of the solid in the first octant bounded by y= 2x, and 4. Find the volume of the solid bounded above by the spherex2+y+ 4. Find the volume of the solid bounded above by the sphere+y?+ 2 9, below...
Find the area of a region bounded above by two different functions Question Calculate the area, in square units, bounded above by f(x) = x2 + 8x + 16 and g(x) = 8x + 80 and bounded below by the x-axis over the interval [-10,-4). Give an exact fraction, if necessary, for your answer and do not include units. Sorry, that's incorrect. Try again? 2048 3 FEEDBACK VIEW ANSWER SUBMIT Content attribution
of vector fields Determine the volume of the solid in the first octant bounded sbove by the p Sketch the graph. Hint: label the x-axis, y-axis and z-axis interceps Determine the limits of integration for the integral over the solid S given by the figure. You do not to solve the integral. 9. of vector fields Determine the volume of the solid in the first octant bounded sbove by the p Sketch the graph. Hint: label the x-axis, y-axis and...
Question 24 Calculate the total area of the region bounded by the curvey=1572 +13. the t-axis, and the lines and x = 16 Question 25 Evaluate the integral using integration by parts: S(T-2) e da (9 - 7:) e-+C (5 + 7) * + • (-5 – 7)e"+0 (9+ 7) +0 (-5+7) "* +0 Question 26 Find the area of the region enclosed by y = 16 and y=2.4 over the intervalo <<<2
number 4 Problems 2-4 Sketch the region bounded by the graphs of the equations, and find its volume using double integrals (2) Solid bounded by coordinate planes and the planes x-5 and y + 2z-4 0 (3) z = x2 + 4, y = 4-хг, x+y=2, and z=0 4) First octant of z-x + y ( 2, y = 4- 0, an Problems 2-4 Sketch the region bounded by the graphs of the equations, and find its volume using double...
Question #4: 3 pts each] Consider a solid D in the first octant bounded below by z= 14-x'-y? and bounded above by Vis? + y’, for y20. ZE a) Find the intersection of the surfaces. b) Setup the triple integral (without evaluating) in rectangular coordinates. c) Setup the triple integral (without evaluating) in cylindrical coordinates. d) Setup the triple integral (without evaluating) in spherical coordinates
Problem 5 [10 points] Set up integrals for both orders of integration. Use the more convenient order to evaluate the integral over the plane region R: A R region bounded by y 0, y x, x 4 R 1+x2 a) [2 points] First order b) [2 points] Second order c) [6 points] Evaluate the integral using the more convenient order Problem 5 [10 points] Set up integrals for both orders of integration. Use the more convenient order to evaluate the...
Please show full solutions so i can understand 3. (i) 3pl Set up iterated integrals for both orders of integration forev dA, where D is the region in the ry-plane bounded by y -,4, and z-0 (ii) [3p] Evaluate the double integral in part (i) of this question using the easier order of integration. (ii) [3pl Find the average of the function f(, y) yey over the region D. 3. (i) 3pl Set up iterated integrals for both orders of...
please anser 9,10,11 9. Reverse the order of integration in Jo edydr and then evae l integral. 10. Use polar coordinates to evaluate 12+y2 where R is the sector in the first quadrant bounded by y 0, y- z, and 11. Find the area of the surface on the cylinder y2 + z2-9 which is above the rectangle R-((,):0s 32, -3 S yS 3) 9. Reverse the order of integration in S e-dydz and then evaluate the integral 10. Use...