Consider the integral I » π 0 » π 2 π 4 » ? 2 csc φ ρ 4 sin φ dρ
dφ dθ. (a) Sketch the region of integration E. (b) Rewrite I as an
iterated integral in cylindrical coordinates.
Homework Answers
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
Q3. Sketch the region of integration for the integral [5(8,19,2) dr dz dy. (2, y, z)...
Q3. Sketch the region of integration for the integral [5(8,19,2) dr dz dy. (2, y, z) do dzdy. Write the five other iterated integrals that are equal to the given iterated integral. Q4. Use cylindrical coordinates and integration (where appropriate) to complete the following prob- lems. You must show the work needed to set up the integral: sketch the regions, give projections, etc. Simply writing out the iterated integrals will result in no credit. frs:52 (a) Sketch the solid given...
show work I got the following answer but it is incorrect. π π 3 sin φ...
show work I got the following answer but it is incorrect.
π π 3 sin φ Evaluate the spherical coordinate integral 0 0 sin º dp do do 0 The value is (Type an exact answer, using a as needed.)
16. o integrad [**** The triple da dy dz describes the solid pictured at right. Rewrite...
16. o integrad [**** The triple da dy dz describes the solid pictured at right. Rewrite as an equivalent triple integral in the following orders (DO NOT EVALUATE): 31 (a) dy dz dx (b) du dz dy 2. 16-2 21. Given dy da, 16- (a) Sketch the region of integration and write an equivalent iterated integral in the order dx dy. (You do not need to evaluate it!) (b) Now write it as an equivalent iterated integral in polar coordinates....
Consider the triple integral LLL 3- 2z sin(x² + y2 + 22 - 2x) dy do...
Consider the triple integral LLL 3- 2z sin(x² + y2 + 22 - 2x) dy do dz. -3-2- Set up, but do not evaluate, an equivalent triple integral with the specified integration order. a) (6 pts) do dz dy b) (7 pts) dz dr do (Cylindrical Coordinates) c) (7 pts) dp do do (Spherical Coordinates)
3. Consider the triple integral 2z sin(x2 + y2 +22 - 2x) dy da dz. Set...
3. Consider the triple integral 2z sin(x2 + y2 +22 - 2x) dy da dz. Set up, but do not evaluate, an equivalent triple integral with the specified integration order. a) (6 pts) da dz dy b) (7 pts) dz dr de (Cylindrical Coordinates) c) (7 pts) dp do do (Spherical Coordinates)
I understand the relationship between the formulas of converting rectangular coordinates to spherical coordinates, but i dont understand the math behind it. I find that the cylindrical part makes sen...
I understand the relationship between the formulas of
converting rectangular coordinates to spherical coordinates, but i
dont understand the math behind it. I find that the cylindrical
part makes sense but i dont understand how to find the limits of
integration and when or why there are two triple integrands for
them as well. im asking for numbers 13 and 15 as they are the only
checkable ones on calc chat
12. 25. Find the v Jo Jo 2 26....
6. Find the local linearization of g(u, v)==' +2uvat (1,2). Use it to estimate the change...
6. Find the local linearization of g(u, v)==' +2uvat (1,2). Use it to estimate the change in g as you move from (1,2) to (1.2, 2.1). Oz Ov 7. For z = sin(x/y) where x = Inuv and y = 3u +2v, find Oz - and ди 8. A. Convert the following integral to cylindrical coordinates. 511 rdzdrdo fzcxZ ty? x = r cos e y=r sine +24 so =T Err200 rrrr B. Evaluate either the original integral or the...
please show all work in clean and legible handwriting with all labels and steps that is properly explained for PROBLEMS #1, 2, 3, AND 4. Any incorrect answers and not solving all 4 problems...
please show all work in clean and legible handwriting with all
labels and steps that is properly explained for PROBLEMS #1, 2, 3,
AND 4. Any incorrect answers and not solving all 4 problems will
get an immediate thumbs down because they did not follow
directions, thank you
1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...
4. Let E be the region in the first octant of R3 contained in the sphere. (a) Formulate the triple integral JJ JBzdV JJJE zdrdydz in spheri iterated integrals ca coordinates as three hi Formulate the...
4. Let E be the region in the first octant of R3 contained in the sphere. (a) Formulate the triple integral JJ JBzdV JJJE zdrdydz in spheri iterated integrals ca coordinates as three hi Formulate the triple integral in cylindrical coordinates as three iterated integrals c) Formulate the triple integral in Cartesian coordinates as three iterated integrals
4. Let E be the region in the first octant of R3 contained in the sphere. (a) Formulate the triple integral JJ JBzdV...
(a) Evaluate the double integral 4. (sin cos y) dy dr. Hint: You may need the formula for integration by parts (b) Show that 4r+6ry>0 for all (r,y) ER-(x,y): 1S2,-2Sysi) Use a double integral to compute the volume of the solid that lies under the graph of the function 4+6ry and above the rectangle R in the ry-plane. e) Consider the integral tan(r) log a dyd. (i) Make a neat, labelled sketch of the region R in the ry-plane over...
Q3. Sketch the region of integration for the integral [5(8,19,2) dr dz dy. (2, y, z) do dzdy. Write the five other iterated integrals that are equal to the given iterated integral. Q4. Use cylindrical coordinates and integration (where appropriate) to complete the following prob- lems. You must show the work needed to set up the integral: sketch the regions, give projections, etc. Simply writing out the iterated integrals will result in no credit. frs:52 (a) Sketch the solid given...
show work I got the following answer but it is incorrect.
π π 3 sin φ Evaluate the spherical coordinate integral 0 0 sin º dp do do 0 The value is (Type an exact answer, using a as needed.)
16. o integrad [**** The triple da dy dz describes the solid pictured at right. Rewrite as an equivalent triple integral in the following orders (DO NOT EVALUATE): 31 (a) dy dz dx (b) du dz dy 2. 16-2 21. Given dy da, 16- (a) Sketch the region of integration and write an equivalent iterated integral in the order dx dy. (You do not need to evaluate it!) (b) Now write it as an equivalent iterated integral in polar coordinates....
Consider the triple integral LLL 3- 2z sin(x² + y2 + 22 - 2x) dy do dz. -3-2- Set up, but do not evaluate, an equivalent triple integral with the specified integration order. a) (6 pts) do dz dy b) (7 pts) dz dr do (Cylindrical Coordinates) c) (7 pts) dp do do (Spherical Coordinates)
3. Consider the triple integral 2z sin(x2 + y2 +22 - 2x) dy da dz. Set up, but do not evaluate, an equivalent triple integral with the specified integration order. a) (6 pts) da dz dy b) (7 pts) dz dr de (Cylindrical Coordinates) c) (7 pts) dp do do (Spherical Coordinates)
I understand the relationship between the formulas of
converting rectangular coordinates to spherical coordinates, but i
dont understand the math behind it. I find that the cylindrical
part makes sense but i dont understand how to find the limits of
integration and when or why there are two triple integrands for
them as well. im asking for numbers 13 and 15 as they are the only
checkable ones on calc chat
12. 25. Find the v Jo Jo 2 26....
6. Find the local linearization of g(u, v)==' +2uvat (1,2). Use it to estimate the change in g as you move from (1,2) to (1.2, 2.1). Oz Ov 7. For z = sin(x/y) where x = Inuv and y = 3u +2v, find Oz - and ди 8. A. Convert the following integral to cylindrical coordinates. 511 rdzdrdo fzcxZ ty? x = r cos e y=r sine +24 so =T Err200 rrrr B. Evaluate either the original integral or the...
please show all work in clean and legible handwriting with all
labels and steps that is properly explained for PROBLEMS #1, 2, 3,
AND 4. Any incorrect answers and not solving all 4 problems will
get an immediate thumbs down because they did not follow
directions, thank you
1) Express the triple integral Ⅲf (x,y,z) dV as an iterated integral in the two a) E={(x,y,z)Wr2+yszaj orders dzdy dr and dz dr dy where b) Sketch the solid region E c)...
4. Let E be the region in the first octant of R3 contained in the sphere. (a) Formulate the triple integral JJ JBzdV JJJE zdrdydz in spheri iterated integrals ca coordinates as three hi Formulate the triple integral in cylindrical coordinates as three iterated integrals c) Formulate the triple integral in Cartesian coordinates as three iterated integrals
4. Let E be the region in the first octant of R3 contained in the sphere. (a) Formulate the triple integral JJ JBzdV...
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Amplitude=3;
fs=8000;
n=0:399;
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