HW #1I Geometay O Find the mamber of sides of a nogulan foligon lach of whose interioi is contaim 160",

Q: Find the area of the surface generated by revolving the curve = V¤ + 3, 4 < y <7

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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: Compute the area of surface generated by revolving the four-cusped of hypocycloid x⅔+ y⅔ =a⅔ about…

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Q: A ring is formed by rotating the shaded area 360° about y-y axes. Determine (1) its surface area and…

A: We find the surface area and volume

Q: Use a computer algebra system to find the approximate surface area of the solid generated by…

A: To find the surface area using the computer algebra sysytem

Q: a. Find the area of the surface generated by revolving about the x-axis the loop of the

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Q: Find the surface area of the cone frustum generated by revolving the line segment y = (x/2) + (1/2),…

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Q: Find the surface area of the torus obtained by rotating the circlex 2 + (y - b )2 = r 2 about the…

A: Given the equation of the circle  x2+(y-b)2=r2. We need to find the surface area of the torus…

Q: Compute the surface area of the surface generated by revolving the astroid with parametrization c(t)…

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Q: Ques tion No. 02: Show that the area of f egion R encleaseod Ly simple closed cuve č is given by a…

A: Area of closed curve, using Green's Theorem: A=∯Sdxdy   =12∯S2dxdy   =12∯S∂x∂x+∂y∂ydxdy…

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 the area of the surface generated by revolving the curve y = Vx + 3, 4 < y <7 around the…

A: We have to find area of the surface . Given y=x3+3                                 4≤y≤7

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

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Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

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

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Q: Explain why the explicit description for a cylinder x2 + y2 = a2 cannot be used for a surface…

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Q: 2. Find the area of surface that is generated by revolving the portion of the curve x = V16 – y , 0…

A: Given, x= √(16-y) Therefore, f(y)= √(16-y) Differentiating the above equation with respect to y we…

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 30, 0 < 0…

A: According to the given information, it is required to find the area enclosed by the given curve.

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

A: Solve

Q: Find arc length and the surface area generated by rotating. x2 1 y +-;1< x < 2, around y – axis - 3…

A: Given that y=x23+1x, 1≤x≤2 around y axis. The formula for arc length is L=∫ab1+dydx2dx…

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

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

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Q: 6- Find the avea of the Surface of revolution genetaled by revalving the x-axis the arc abaut from…

A: To find - Find the area of the surface of revolution generated by revolving about the x-axis the arc…

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r=2θ, 0≤θ≤4.5…

A: Given that  r=2θ, 0≤θ≤4.5 To Find the area enclosed by the closed curve obtained by joiningthe ends…

Q: 5- Find the area of the surface generated by revolving the curve X= (y*/4) +1/ (8y²),1<y <2 ,about…

A: Given:function: x=y44+18y2Interval: 1≤y≤2To find : Area of surface generated by revolving the curve…

Q: Q3: Develop the lateral surface of a hexagonal prism of base edge 20mm a on its base on HP such that…

A: Given: To explain the given statement as follows, To develop the lateral surface of a hexagonal…

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

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Q: Which one, y=ex, 1≤y≤2, gives the surface area of the solid formed by rotating the curve segment…

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Q: Determine the area of the right half of the cardioid formed by r = 8 +7 sin 0 16 14 12 10 8 6 4 -2…

A: The formula to find the area is, A=∫ab12r2dθ Since it is been asked to find the area of half of the…

Q: Find the surface area of the cone frustum generated by revolving the line segment y-/2) + (1/2, 1…

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Q: The lateral (side) surface area of a cone of height h and base radius r should be πr√r2 + h2, the…

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Q: Find the curved surface area of the solid generated by revolving the part of the curve y=x² from…

A: Given curve is                                               y=x2 from     (0, 0) to (6, 6) Rotation…

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: 4. Find the area of surface that is generated by revolving the portion of the curve I = 2/1- y,…

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Q: Find the area of the surface generated by revolving the curve about each given axis. x = 8t, y - 6t…

A: Given that, x = 8t y = 6t + 1 0≤t≤1 We have to find the area of surface generated by revolving the…

Q: 7 Find the area of the surface generated by revolving x = 2/4-y, 0sys about the y-axis.

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Q: 2. Find the center of mass of a thin plate of constant density d covering the region between the…

A: The thin plate mentioned is shown below: The region covered by plate is R=(x,y): -π4≤x≤π4 and 0≤y≤2…

Q: When the shaded region is rotated around the y-axis, a horizontal strip of vertical span Ay creates…

A: We have to find the volume V of the solid obtained by rotating the region bounded by the given…

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

A: Given, a right cylinder of radius 'r', is inscribed in a hollow sphere of fixed radius 'a'. The…

Q: Quertion: Conidee a dihedral Dy= (agbra" =b'=lab)= 1). Give the detxls of your! work.

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Q: A horizontal curve on a 6-lane highway has a superelevation of 4% and a central angle of 15. The…

A: For a vehicle moving at a speed of v, having reaction time t and f is the coefficient of friction,…

Q: Determine the area of the surface of revolution of x=sqrt{y} from (1,1) to (2,4), rotated about the…

A: The equation is x=y.   Determine the derivative dxdy=12y   The formula for the area of surface…

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: Use Pappus’s Theorem for surface area and the fact that the sur-face area of a sphere of radius a is…

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Q: Find the area of surface that is generated by revolving the portion of the curve x = /9 – y? , -2 <…

A: We will find out the surface area of revolution.

Q: Point W is the centroid of triangle TRV. VX = 204 and RW = 104. The length of VW = ____.

A: Triangle Question

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.