The change in the relative configuration of point within a solid is called strain 0 صواب ihi O

Q: A hole is drilled through the center of a sphere x²+y² +z? = R,², leaving a ring-shape solid. If the…

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Q: The shape for a building that is to become a wheat silo is created by rotating the region bounded by…

A: Given that the shape for a building that is to become a wheat silo created by rotating the region…

Q: Name three points Coplanar with point A

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Q: 9. Calculate lim (2,y,2)→(0,0,0) x² + y² + z² by converting to spherical coordinates.

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Q: Eualuate Je m Cz -i) dz (z-i)dz from Z =1+2i to to contour 2=

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Q: Find the area of the surface obtained by rotating the curve of parametric equations x = 10 cos³ 10…

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Q: Evaluate ze dV, where E is the portion of the ball centered at the origin of radius 5, x + y+< 25…

A: Given Where E is portion of the ball centered at origin, radius 5 and lies in first octant. In…

Q: Verify Euler's formula for the solids below. (i)

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Q: H = (x – y)a, + (x² + zy)a, + 5yza, uate ſ, H · dl along the contour of Figure 3.28. 0.

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Q: Find the area of surface that is generated by revolving the portion of the curve 9 – y² , – 2 < y< 2…

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Q: Find parametrizations The portion of the hemisphere x2 + y2 + z2 = 10, y&gt;= 0, in the first octant

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Q: The normal line at point P(0,a,-a) of the surface given by the equation F(x,y,z) = 3xyz – z' – a' =…

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Q: Which lines or line segments or rays must be drawn or con- structed in a triangle to locate its a)…

A: (a) The orthocentre is the point where all the three altitudes of the triangle cut or intersect each…

Q: Explain Cylinder Surface?

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Q: Find parametric equations of the normal line to x2 the surface z + y? 4 at the point (2, 3, 10)

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Q: A cylindrical surface in an xyz-coordinate system is an equation that contains only two of the…

A: In this question we have to state whether the given statement is true or false.

Q: Find the area of the surface generated by revolving the given curve about the y- axis. x = /25 - y²,…

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Q: 8. Describe the motion of a particle with position (x, y): x = 3sin (t),y 4cos (t)

A: To describe the motion of a particle for below curve. x=3sint, y=4cost

Q: Surface at 0 = 30° and r = 10 is a.. Cylinder Cone Circle Plane

A: Solve

Q: The change in the relative configuration of point within a solid is called strain

A: Strain is a description of deformation in terms of relative displacement of particles in the body.

Q: Surface at θ = 40⁰ and r = 20 is a     plane    cirlce   cone

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Q: The arc of the parabola y = x^2 from (1, 1) to (2, 4) is rotated about the y- axis. Find the area of…

A: Given: The arc of the parabola y = x^2 from (1, 1) to (2, 4) is rotated about the y- axis.

Q: A hole is drilled through the center of a sphere x +y +z? = R,', leaving a ring-shape solid. If the…

A:

Q: The region shown is bounded by x = 3, y = 0, and y = x. y 1 1 2 3 4 If the region is rotated about…

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Q: A hole is drilled through the center of a sphere x?+y² + z² = R,?, leaving a ring-shape solid. If…

A:

Q: 4) Find the families of lines of curvature of the surface z = r + y? .

A: Given: z=x2+y2

Q: Find the coordinates of the center of gravity of the homogeneous wire showen below. The portion on…

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Q: The solid in the first octant bounded by the coordinate planes, y+ z = 4, and x = y.

A: The objective is to find the volume for y+z=4,x=y The volume of the integral formula is,…

Q: R mm 150 mm Y-

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Q: 1) In cartesin coordinate system, differential the Rfferential dxdydz. Infer 8 spherical Volume…

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Q: 5/10 Determine the coordinates of the centroid of the shaded area. y * = ky? a b.

A: Given:

Q: Write the equation x +z* - (y- 1) = 0 in cylindrical sy stem. W hich surface does it represent? Give…

A: Given :            The equation x2 + z2 - (y - 1)2 = 0   To write the given equation in…

Q: Radiation is focused on an unhealthy area in a patient’s body using a semielliptical reflector,…

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Q: Surface at 0 = 40° and r = 20 is a.. Cylinder Plane Circle Cone

A: Given:  r=20, θ=40°

Q: y 2 2 2 4

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Q: Find the equation of the tangent plane to the given surface at the point P. x2 + y2 + z2 = 9, P =…

A: Concept Used:- For an implicitly defined function f(x, y, z)=0 The equation of the tangent plane to…

Q: 2. Use parametric equations to derive the formula for the lateral surface area of a right circular…

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Q: Find the equation of the sphere of radius 7 centered at (3, 5, 3). O (x – 3) + (y– 5 + (z - 31 = 7 O…

A: Let's find.

Q: Find the points on the surface y = 9 + xz that are closest to the origin. (x, y, z) = (smaller…

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Q: What is the general process to fit random 3D points to a surface?

A: Hint: Here 3D points are given we need to plot them on a surface. Write the general process to plot…

Q: The motion of a fluid particle is defined parametrically as follows, x(t) = sinh(t), and y(t) =…

A: Given - The motion of a fluid particle is defined parametrically as follows xt = sinht , yt = cosht…

Q: Sketch the solid, and a typical disk or washer. y y 2 4. 6. 6. y 4 2 6 2. 2. 21

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Q: The surface that is linear with the three variables, x, y, and z is called cylinder plane sphere O…

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Q: A conical surface is defined as 0 = 30°,0 < y< 2n,0<r< 2, the lateral surface area is what?

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Q: - In cortesien coordina te system is dx dy da. Infer the differentia polar coordinate system ?

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Q: ltermine the surface arca of the solid obtained by rotating y= 19- XZ about the X- axis.

A: Given:- y = √(9-x^2).  To find:- Surface area of solid obtained by rotating about the x axis [-2, 2]…

Q: Enter the equation of the clrcle with the glven center and radlus. Center: (6, 0); radius: /7 The…

A: The equation of the circle with center (h,k) and radius r is   (x-h)²+(y-k)²=r²

Q: Describe the given set of rectangular coordinates in cylindrical coordinat x2 + y? y

A: Concept:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.