2 T =/(16-2)r dr de r 0 2T 4 (16r r) dr d0 r=0 277 8p2 dr de 4 =O 27T (64) dr d0 - 128T.
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Can you please explain to me why it is (16-r^2) when it is being integrated? of the solid that is inside Fin d the...
and inside the The volume of the solid in-between the half-cones 2= 13.x2 + 3y2 and...
and inside the The volume of the solid in-between the half-cones 2= 13.x2 + 3y2 and z= sphere x2 + y2 + x2 = 9 can be given by the integral BDF sin(o) dp do do, with JA JC JE A = [ Select ] B = [Select ] C = [Select ] D = [ Select ] E = [Select ] F = [ Select ] Let f be a continuous function defined on all of R3. Which of...
EXAMPLE 4 Find the volume of the solid that lies under the paraboloid z 5x2 - 5y2, above the xy-p...
EXAMPLE 4 Find the volume of the solid that lies under the paraboloid z 5x2 - 5y2, above the xy-plane, and inside the cylinder x2 + y2-2x (x-1)2 + y2=1 or r 2 cos 8 SOLUTION The solid lies above the disk D whose boundary circle has equation x2 +y2x or, after completing the square, In polar coordinates we have x2 +y Thus the disk D is given by and x-r cos(), so the boundary circle becomes 2r cos(), or...
Please fill in all the blanks and show your work. Video Example) Tutorial Online Textbook EXAMPLE...
Please fill in all the blanks and show your
work.
Video Example) Tutorial Online Textbook EXAMPLE 4 Find the volume of the solid that lies under the paraboloid z = 3x2 + 3y2, above the xy-plane, and inside the cylinder x2 + y2 = 8x. SOLUTION The solid lies above the disk D whose boundary circle has equation x2 + y2 = 8x or, after completing the square, (x - 1 x)2 + y2 = 1 In polar coordinates we...
Please do #16 AND #17 parts in clear legible handwriting. Explain answers in clear work and detail. The final answers ar...
Please do #16 AND #17 parts in clear legible handwriting.
Explain answers in clear work and detail. The final answers are
provided for each part/problem to use as a reference to check work.
If both problems are not completely done, I WILL mark you down and
give a thumbs down. Thank you
16) Sketch the region of integration and evaluate by changing to eV2x-x 1 dy dx 2-In(1+ 2) polar coordinates. 17) Let E be the region above the sphere...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
#6 Letter C, can you please explain how you got the answer. and to check the answer key says its 1/144 Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and...
#6 Letter C, can you please explain how you got the answer. and
to check the answer key says its 1/144
Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and 1 (d.) vd dA, D is the triangular region with vertices (0,2),(1,1), and (3,2) (a.) olr+v) dA, D is the region bounded by y and z 2.) Evaluate 3.) Evaluate J p cos(r +y)dA, where D is...
can you show me the work for 2,3,4,5, thank you 2. Evaluate ff curl F n...
can you show me the work for 2,3,4,5, thank you
2. Evaluate ff curl F n dS, where F = (a2yz, yz2, 23e#v), and S is the part of the sphere a2 + y2+225 that lies above the plane z 1, oriented upwards. - Solution: -4T 3. A metal sheet is bent into the shape of the parabaloid r = y2+ 2 where 0 (r, y, z) is 6(x, y, z) = z. Find the mass of the resulting metal...
solutions are labeled a to c at the bottom. can you explain what the r stands for. I'm assuming x2 + y2 Write iterated integrals for each of the given caleu- Question 7 (5 pts each] lations. D...
solutions are labeled a to c at the bottom. can you
explain what the r stands for. I'm assuming x2 + y2
Write iterated integrals for each of the given caleu- Question 7 (5 pts each] lations. Do not evaluate. (A) The integral of f(x,y) 32 + 12y over the domain D: +20 (B) The integral of f(x, y,) first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the...
11.1) a) Verify that the function f(x,y) given below is a joint density function for r...
11.1) a) Verify that the function f(x,y) given below is a joint density function for r and y: ſ4.ty if 0 <r<1, 0 <y<1 f(x, y) = { 10 otherwise b) For the probability density function above, find the probability that r is greater than 1/2 and y is less than 1/3. 11.2) For the same probability density function f(x,y) as from Problem #1. Find the expected values of r and y. 11.3) a) Let R= [0,5] x [0,2]. For...
Question 2 (1 point) Identify the surface r = 1, in cylindrical coordinates. Plane Cone Half...
Question 2 (1 point) Identify the surface r = 1, in cylindrical coordinates. Plane Cone Half plane Disc Sphere Circle Line segment Cylinder Use spherical coordinates to find the volume of the solid that lies above the cone z = V3x2 + 3y2 and below the sphere x2 + y2 + 2? first octant. Write = 1 in the V = L*S*%' * sin ødpdepdo 1. O 2. 1 d = < 3. À b= 4. 7T 2 5. Ő...
and inside the The volume of the solid in-between the half-cones 2= 13.x2 + 3y2 and z= sphere x2 + y2 + x2 = 9 can be given by the integral BDF sin(o) dp do do, with JA JC JE A = [ Select ] B = [Select ] C = [Select ] D = [ Select ] E = [Select ] F = [ Select ] Let f be a continuous function defined on all of R3. Which of...
EXAMPLE 4 Find the volume of the solid that lies under the paraboloid z 5x2 - 5y2, above the xy-plane, and inside the cylinder x2 + y2-2x (x-1)2 + y2=1 or r 2 cos 8 SOLUTION The solid lies above the disk D whose boundary circle has equation x2 +y2x or, after completing the square, In polar coordinates we have x2 +y Thus the disk D is given by and x-r cos(), so the boundary circle becomes 2r cos(), or...
Please fill in all the blanks and show your
work.
Video Example) Tutorial Online Textbook EXAMPLE 4 Find the volume of the solid that lies under the paraboloid z = 3x2 + 3y2, above the xy-plane, and inside the cylinder x2 + y2 = 8x. SOLUTION The solid lies above the disk D whose boundary circle has equation x2 + y2 = 8x or, after completing the square, (x - 1 x)2 + y2 = 1 In polar coordinates we...
Please do #16 AND #17 parts in clear legible handwriting.
Explain answers in clear work and detail. The final answers are
provided for each part/problem to use as a reference to check work.
If both problems are not completely done, I WILL mark you down and
give a thumbs down. Thank you
16) Sketch the region of integration and evaluate by changing to eV2x-x 1 dy dx 2-In(1+ 2) polar coordinates. 17) Let E be the region above the sphere...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
#6 Letter C, can you please explain how you got the answer. and
to check the answer key says its 1/144
Math 5C- Review 3 -Spring 19 1.) Evaluate. a) (c.) Jp z cos() dA, Dis bounded by y 0, y- 2, and 1 (d.) vd dA, D is the triangular region with vertices (0,2),(1,1), and (3,2) (a.) olr+v) dA, D is the region bounded by y and z 2.) Evaluate 3.) Evaluate J p cos(r +y)dA, where D is...
can you show me the work for 2,3,4,5, thank you
2. Evaluate ff curl F n dS, where F = (a2yz, yz2, 23e#v), and S is the part of the sphere a2 + y2+225 that lies above the plane z 1, oriented upwards. - Solution: -4T 3. A metal sheet is bent into the shape of the parabaloid r = y2+ 2 where 0 (r, y, z) is 6(x, y, z) = z. Find the mass of the resulting metal...
solutions are labeled a to c at the bottom. can you
explain what the r stands for. I'm assuming x2 + y2
Write iterated integrals for each of the given caleu- Question 7 (5 pts each] lations. Do not evaluate. (A) The integral of f(x,y) 32 + 12y over the domain D: +20 (B) The integral of f(x, y,) first octant and below the graph z 8-y 2 (C) The mass of an object occupying the region bounded between the...
11.1) a) Verify that the function f(x,y) given below is a joint density function for r and y: ſ4.ty if 0 <r<1, 0 <y<1 f(x, y) = { 10 otherwise b) For the probability density function above, find the probability that r is greater than 1/2 and y is less than 1/3. 11.2) For the same probability density function f(x,y) as from Problem #1. Find the expected values of r and y. 11.3) a) Let R= [0,5] x [0,2]. For...
Question 2 (1 point) Identify the surface r = 1, in cylindrical coordinates. Plane Cone Half plane Disc Sphere Circle Line segment Cylinder Use spherical coordinates to find the volume of the solid that lies above the cone z = V3x2 + 3y2 and below the sphere x2 + y2 + 2? first octant. Write = 1 in the V = L*S*%' * sin ødpdepdo 1. O 2. 1 d = < 3. À b= 4. 7T 2 5. Ő...
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