Which step has the error if any? メー) -Vバースス 18-x² m3= ー1 stept Dis halt of a disk use uylinchrical coords T/2rava Vr de (rdr de) %3D Vstepa seperde each integral T/2 ne dr (da ス step3 u-sub for midle inteyral 32/ 2a) - " ( ( %3D IT I stept 3/2 (9-1 2steps 3(27-1) 139T

Q: Sketch the surface..........CYLINDERS.............x2 + 4z2 = 16

A: Here we have to draw the surface of cylinder having equation  x2+4z2=16

Q: Find the dimensions of the rectangular box of maximum volume that has three of its faces in the…

A: Let say that(a,b,c) is point in plane 4x+3y+z=12 and it is one vertex of requested rectanglar box.…

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: The given equation of plane is : x+2y+3z=6 x=6-2y-3z                   …(1) Volume of a rectangular…

Q: Determine the diameter of a hole that is drilled vertically through the center of the solid bounded…

A:

Q: Let's model R2-D2's body with a cylinder of height 3 feet and radius 0.75 feet and head with a…

A: Given, The radius of the cylinder = 0.75 feet The height of the cylinder = 3 feet The radius of the…

Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

A:

Q: Calculate the distance from point s(10, -8, 10) to the plane 2x + 2y + z = 4 O 10 O 10 의 ~m 의 29

A: Given query is to find the distance between the plane and point. The given point is S(10, -8, 10)…

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A:

Q: Find the maximum volume of a rectangular box with faces parallel to the coordinate planes if one…

A:

Q: Find the center of mass and the moment of inertia about the y-axis of a thin plate bounded by the…

A:

Q: 3. What are the dimensions of the closed cylindrical can that has surface area 280 square…

A:

Q: Find the area of one side of the “wall” standing orthogonally on the curve 2x + 3y = 6, 0<=x<=…

A: To Determine: Find the area of one side of the “wall” standing orthogonally on the curve…

Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

A: Region bounded by the curves

Q: Fruit juice will be packaged in cylindrical cans with a volume of 40 in each. The top and bottonm of…

A: Fruit juice will be packaged in cylindrical cans with a volume of 40 in3 each. The top and the…

Q: Consider the parullelepiped with Sider. t-Findthe Volume of the Paralletefiped 2 Findthe…

A:

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A: We have to find the volume of the largest rectangular box in the first octant with three faces in…

Q: Solve using method of variation of parameter: 4y" - y = xex/2, y(0) = 1, y'(0) = 0.

A: Let us consider a second order differential equation with constant coefficient , y''+ay'+by=Q(x) To…

Q: Determine the diameter of a hole that is drilled vertically through the center of the solid bounded…

A:

Q: Differentiate, and make sure to show all your work: y = exin(2z) %3D

A: The given question is taken from the derivative of the function in which we have to find the…

Q: A gate has two cylindrical pillars with a hemispherical end on the top of each pillar. The height of…

A:

Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

A:

Q: What are the dimensions of an open-top right circular cylindrical can that will hold a volume of 512…

A:

Q: Distinguish briefly the Skewness and kurtosis

A: Skewness is a measure of symmetry where symmetry means equal proportion to the left and right to the…

Q: A storage tank is designed by rotating y = x² + 1; about the x- axis, y- axis, line x = 2, and…

A:

Q: classify the quadric surface given by equation and determine its standard form.−8x 2 − 8y2 + 10z2 +…

A: We have the quadratic surface : -8x2-8y2+10z2+32xy-4xz-4yz-24=0…

Q: Find the orthogonal trojectories of y(sx +c) = 1.

A: Given query is to find the orthogonal trajectories to y (3x+c) = 1.

Q: wz bisects 2XZY and 2X = ZY . Which choice of method can be used to prove AXWZ = 4YWZ ?

A:

Q: If 2x^4 + x^2y^2 - y^8 = 3x^2 + 4,what is the value of dyldx at point (4,1)? %3D

A:

Q: rest from the right vise with an accelera mains constant. Fin

A: The acceleration (a) of the particle is 0.25 m/s2. The body accelerates from rest until a time of 4…

Q: Manufacturer X is planning to produce a closed balikbayan box as they anticipate the surge of…

A:

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

A: Given problem is :

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4 y + 10 = 0 A. Intersects at the origin B. Are…

A:

Q: How close does the semicircle y = V16 – x² come to the point (1, v5)? |

A:

Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

A:

Q: Find the dimensions of the rectangular box of maximum volume that can be inscribed inside the sphere…

A: Given sphere is

Q: This sphere has a diameter of 20 feet. The center of the sphere is 12 ft from the ground. (x – 0)² +…

A: Volume of the sphere in cubic feet

Q: Maximize the lateral surface area of an inverted cone, if V = 100 cm³. S trvr² + h? V = 1h = 100 t…

A: According to company rule we can answer only first question and rest can be reposted.

Q: Find the area of one side of the “winding wall” standing orthogo-nally on the curve y = x2, 0 <=x…

A:

Q: A fuel tank is being designed to contain 200 m3 of gasoline, but the maximum length of a tank…

A: We have to find the height and radius of the fuel tank which costs minimum using differentiation.

Q: A miniature quadcopter flies in a curve line from one point to another. Suppose that the path of the…

A: The path of the quadcopter is given by the equation y=2.15+2.09x-0.41x2, 0≤x≤3.6 (i) The distance of…

Q: A manufacturer needs to make a cylindrical can that uses 100 square centimeters of material.…

A:

Q: A package in the shape of a rectangular solid is to be delivered. However, it can only have a…

A:

Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

A: Given: The region bounded by y=2x2, x=0, x=2 and y=0.

Q: Describe in words the region of R3 represented by the equation. x² + y2 + z² = 36 The equation x2 +…

A: Given equation is x2+y2+z2=36. We have o describe in words the region of R3 represented by the…

Q: A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of Lagrange…

A:

Q: The area in the first quadrant bounded by a parabola 12y = x2, the y=axis, and the line y = 3,…

A: Given:       Parabola x2=12y                      y=x212              line y=3 The parabola and line…

Q: Find the centroid when revolved in y-axis: y³ = x² ; y = 4.

A: As per the question we are given a solid of revolution obtained by rotating the area between y3 = x2…

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

A: Given that, the cone is generated by revolving the line segment  y = 53x,  0≤x≤4, about x-axis.

Q: A cylindrical shampoo container is to have volume 750 cm³. Shampoo V%3DTT r?h 759cm3 ) Determine the…

A: