(a) [2 marks] Find the exact lengths of the following curves by setting up and evaluating...
Math IA Exam 4 2. Find the area beneath the curve y x2 2 from x--1 to x3 by setting up an appropriate limit and evaluating the limit. (Do not use an integral.) Math IA Exam 4 2. Find the area beneath the curve y x2 2 from x--1 to x3 by setting up an appropriate limit and evaluating the limit. (Do not use an integral.)
2. (12 points) By setting up and evaluating a triple integral, compute the area of the te by the coordinate planes 0.7 -0.2 0 and the plane + y +- eral, compute the area of the tetrahedron bounded
Let R be the region bounded by the following curves. Find the volume of the solid generated when Ris revolved about the y-axis. y= (x,y=0, x= 4 Set up the integral that gives the volume of the solid. ody 0 (Type exact answers.) The volume of the solid is cubic units. (Type an exact answer.)
Please show full workings for both parts of this answer because I keep getting the answer wrong. Thumbs up will be given to the workings with correct answers! 5. Find the area of the rectangle defined by the line y 2 from-0 to -3 in two different ways: (a) By using simple geometry and the area of a rectangle formula. Draw a picture! (b) By setting the area up as a definite integral and evaluating the limit of the Rie-...
4. (a) Indicate where the series is (i) absolutely convergent, n-1 where it is (ii) conditionally convergent, and where it is (iii) divergent. Justify your answers Find f,(z) if f(x) = arctan (e* ) + arcsin V2x + 4. (b) (a) Set up (but do not evaluate) a definite integral that represents the area 5. of the region R inside the circle r = 4 sin θ and outside the circle r = 2. Carefully sketch the region R. (i)...
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x-axis. y=2 - xy-x, and y=0 Set up the integral that gives the volume of the sold. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type an exact answer.) on sa OB Samay The volume is (Type an exact answer)
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when Ris revolved about the x-axis. y 4-X y=x, and y=0 Set up the integral that gives the volume of the solid. Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choice (Type an exact answer) on 10 OB. Soos The volume is Type an exact answer)
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when R is revolved about the x-axis. y= 10 - x, y = x, and y= 0 Set up the integral that gives the volume of the solid. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type an exact answer.) OA. dy B. ГО) ax The...
Let R be the region bounded by the following curves. Use the shell method to find the volume of the solid generated when Ris revolved about the x-axis y=21-X. y = x, and y = 0 Set up the integral that gives the volume of the solid. Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choice (Type an exact answer.) on. Say OB SD d The volume is Type...
Find the exact value of the sin (x-y) when secx= -2, cot y= -1, and x and y are in quadrant II