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Q: Find the length of the latus rectum of the curve rsin²x=cosx

A: The given curve is: rsin2x=cos x

Q: Find AB 4. x+4 3x+2

A: Answer.        given AC=3x+2,   AB=x+4, BC=4Here  AB+BC=ACx+4+4=3x+2x+8=3x+2⇒2x=6…

Q: Two tangents AB & BC are intersected by a line having angles 40 o & 35 o respectively. The…

A: Consider the two tangents AB and BC which are intersected by a line that have angles 40o and 35o.…

Q: Find the area of the surface. The triangle cut from the plane 2x + 6y + 3z = 6 by the bounding…

A:

Q: Region inside the circle(rz1)_and outsid the cardiaid (1- Cuso).

A:

Q: Polar Integrals! Please show all work neatly! Thanks

A:

Q: In cartesian coordinate system, differential volume element is dxdydz. Infer the differential volume…

A: Concept:

Q: -2yater 1- 2x cot2x 2CSC 2X %3D %3D

A: Solution-

Q: 4.x² + y = 4

A:

Q: over the region E inside x +y +z = 4 in the first octant. Convert the point (2, 2, -2v2) rectangular…

A: We have been given the cartesian coordinates (2, 2, ). We have to convert these cartesian…

Q: what is the formula to find centroid of triangular prism

A: Centroid of triangular prism is determined as shown below.

Q: A new spherical bacterial particle of radius 2.5 x 10-10 meters was discovered in the fossil.…

A: To find the diameter

Q: The arc y=2 sqrt root(x) from x ∈ [4,16] is rotated about the x axis. Find the exact surface area…

A:

Q: Solve 3x – 6 ≥ 0 graphically intwo dimensional plane.

A:

Q: A simple curve has a radius of 280 meters and its distance from the point of curvature to the point…

A:

Q: A right circular cylinder is inscribed in a sphere of radius r. Find the largest possiblesurface…

A: Consider the right circular cylinder inscribed in the sphere with radius, r. Suppose the height and…

Q: PCt) =<5-t, 4t -3,3t7 uking are length Reparami tize parameter from the point (4,113).

A:

Q: A layer of equal spheres is in the form of a square. The spheres are arranged so that each sphere is…

A: The lines that trace the center of the spheres will form into square pyramid. See figure below.

Q: (०हागो 10,3,0)and (0,0,6). Tongular lamina with for of stokes deo theorem.

A: Given

Q: find a formula for the area of triangle in the xy-plane with vertices at (0,0), (a1,a2) and (b1,b2).…

A: To find a formula for the area of triangle in thexy-plane with vertices at (0,0), (a1,a2) and…

Q: Show that the volume of a spherical block can be approximated by ∆V ≈ ρ2 sin ϕ ∆ρ ∆ϕ ∆θ.

A: Suppose x,y,z is a point at fixed distance from the origin in the 3D-space.

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

A:

Q: Gleumple 2 Excnpces 26

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find equations of two spheres that are centered at the ori- gin and are tangent to the sphere of…

A: Given radius=r=1 centered sphere at (3,-2,4) find the equations of sphere that are centered at…

Q: Derive the orthogonal trajectories of the family of hyperbolas ??=?.

A:

Q: 2. Use integration in cylindrical coordinates in order to compute the vol- ume of:

A: Given,       U=x, y, z: 0≤x2+y2≤1, 0≤z≤5-x-y

Q: Evaluate the spherical coordinate integral.

A:

Q: the bollowing homogeneous . Solve dilferential Eq/uatlion du %3D By

A: Given:

Q: 2. A right cylinder of radius r is inscribed in a hollow sphere of fixed radius a. The tv circular…

A:

Q: 3. A hemispherical tank of radius 2 m is full of water. Find the work done in emptying the tank…

A: To find the work done in emptying the tank through the outlet.

Q: line integral Compute the where part of the cirele x² +yR=9 C is the %3D in the first quarant from…

A:

Q: 1. The region in the first octant between two spheres centered at the origin; one of radius 2 and…

A: Given the density function and region

Q: (1 point) Calculate the volume under the elliptic paraboloid z = 2x2 +3y2 and over the rectangle R =…

A:

Q: 5. Triangle POR with verlices P(-2, 3). Q(2, 4). and R(1,-1): x -3 P' - R' 111

A:

Q: he measurement of the edge of a cube is found to be 15 inches, with a possible error of 0.03 inch.…

A: Given edge a =15±0.03  inch

Q: In cartesian coordinate system, differential volume element is dxdydz. Infer the differential volume…

A:

Q: 1- In cartesian coordinate system, differential volume element is dxdydz. Infer the differential…

A: For this we will use the relationship of rectangular coordinate system with the spherical coordinate…

Q: .Estimate vu in cylindrical form, in the orthogonal curvilinear coordinates

A: Given: We consider elliptic in cylindrical form .

Q: The region is bounded by the graphs of the equations y sin x, y = 0, x=0, and x-A. For the…

A: See this solution in below

Q: rmula for measure of kurtosis

A: Kurtosis is used to describe the shape of a graph. The kurtosis is known as the numerical measure to…

Q: The triangular region with corners (6,0), (7,0) and (7,3) is rotated about the line x = –1. The…

A: Given - A vertices of a triangle and volume of solid To find - constant k in the volume expression

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

A:

Q: The triangular region with corners (6,0), (7,0) and (7,3) is rotated about the line x = –1. The…

A: Given - Vertices of triangle and volume of solid  To Find - Constant in the expression of volume

Q: Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

A: Let the radius of the cylinder is = r and the radius of the sphere = R  Let the height of the…

Q: tion of the sphere with the given characteristic 1, -8, 6)

A:

Q: Find the area of the circular sec- tor having radius 3 ft and 0 = 7.2radians %3D

A: Formula:

Q: 3. Parametrize the circle of radius 5 having centre (8, –3) and hence find a tangent vector and the…

A: We have to find parametric equation, tangent vector and tangent line for the given circle.

Q: xplain why the annulus {z: 1 |Z| 2} is not simply connected.

A: By using Cauchy's theorem G is not simply connected.