by. y=X and yX #3. Find the volume 9in tvat ed the X-axis. on roleting

Q: Find the volume of the tetrahedr my+nz = C nz+lx=0 Ix+my=0) x+my+na

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Q: Find the total surface area of the cone if S = 12 in and r= 13 in. Use 3.14 for n and round to the…

A: The total area of a cone = Lateral surface area + area of the base circle.…

Q: D 1 k2 V B L (x² + y²) dxdydz 2 2 2 ||

A: This is a problem of triple integration calculation. Please find the procedure below for the same.

Q: Find the volume of the "island" which has a surface defined by 20 - 2 over the region on which it is…

A: To find the volume of the island whose surface is given by, z=201+x2+y2−2

Q: 4. Find the SURFACE AREA of this delicous can of soup. * 2 TH VEGETABLE CLASSICS OPERN PROGRESSO…

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Q: Find the total surface area of the solid below. Round your answer to the nearest hundredth. x= 20…

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Q: 4. Find the area common to the circles x2 + y2 = 4 and x2 + y2 = 4x.

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Q: Find the areas of the regions enclosed by the following curves. y =x* - 16x? + 1 and y =x - 15 (Type…

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Q: For the given section as shown, determine the surface area and the volume of the solif that will be…

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Q: . Find the area of the region bounded between the circles x? + y? = 4 and (x – 2)2 + y? = 4.

A: Area between curves

Q: C. Find the approximate Change in The volume of a circutar cone of base radis r and height h, by…

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Q: Find the volume of the torus formed by revolving the circle x²+y2=1 about the line x-4. 25.13 cubic…

A: We have to find the volume of torus formed by revolving the circle x2+y2=1 about the line x = 4. To…

Q: Given the area in the first quadrant bound by x²= 8y , the line x= 3 and the x-axis. What is the…

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Q: Find the volume of a cone Q Cone height h, radius of base equial to f.

A: Explanation of the answer is as follows

Q: 2. Which of the following shaded regions has an area equal to In 2? y = 1/r y = 1/r 2 3/2 2 А. В. 2…

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Q: Find the area of the shaded region. y 4 3 y= V x 2 마 1, 1) X = 27 y : to 5 10 15 20 25

A: The sketch of the region bounded by the curves is  To evaluate: The area of the shaded region.

Q: Given the area in the first quadrant bound by x^2= 8y m, the line x=3 and the x-axis. What is the…

A:

Q: 17) Which cylinder will have the same volume? y: y 0. X-

A: We know the volume of a cylinder is given by, V= πr2hWhere, r is radus of the cylider, and h is…

Q: 5. Give formulas for the volume and the surface area of acylinder whose radius r is half of its…

A: To give the formula for the volume and the surface area of a cylinder whose radius r is half of its…

Q: Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is…

A: To find the intersection points, substitute y with 2 in x2=4y and solve for x. To find the volume,…

Q: (c) Suppose each cross section perpendicular to the x-axis is an isosceles right triangle with one…

A: Note: There are multiple questions. Few questions has multiple subparts. No specific question has…

Q: Find the areas enclosed by the following curves: (b) y = x* – 4x2 + 4 and y = x² y = x? 3- y = x* –…

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Q: Volume ofa sphere Clevei 1) unat is the volume ol ahemispheie with aradus of 39.4 E rand to the…

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Q: 1. Determine the surface area generated by revolving the line segments about x axis. 2m 3m 1m 4m 3m…

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Q: Given the funcion: ((x^2)/9)+(((y^2)/9)e^0.2x)=1    revolve around the x-axis to create an egg. Find…

A: The given equation is x29+y29e0.2x=1.We can plot the solid of revolution as

Q: A3) Find the Volume of the solids genereted by revoluing the Yegions boun ded by the carve リニ2 and…

A: Volume of solid of revolution  The volume for the solid of revolution between curves is the volume…

Q: Find the volume of the cylinder in terms of r and to the nearest tenth. 5 in 3 in The volume in…

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Q: Find the area enclosed by the curve x² + 8y + 16 = 0, the x-axis, the y-axis and the line x = 4. А.…

A: From the given curve the bounded region shown below:     Given curve:   x2+8y+16=0⇒y=-x2-168x=0 ;…

Q: If y = 5 in. and z = 31.9 in., then the TOTAL SURFACE AREA of the cylinder is round to nearest…

A: we have to find the total surface area of the cylinder

Q: If y = 14 in. and z = 39.5 in., then the TOTAL SURFACE AREA of the cylinder is _______in2.  Use 3.14…

A: By using surface area formula, we calculate the required surface area.

Q: If 0 < c < 1, find the area enclosed by the graphs of y=0, y=1/x,

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Q: of the region en and y =x? +4

A: 2. Given curve is: y=-x2-2x When y = 0 we get, -x2-2x=0⇒xx+2=0⇒x=0 ; x=-2 Then the area is:…

Q: ind the volume when the area in y = 2x 2 − 8x + 12 and y = −2x + 12 is 9 sq units and revolves…

A: To find the volume of the solid that is obtained by rotating the below region about the x-axis.…

Q: the intesruls that wiI calaulate the area up set banded betmeen fex) = LX J igx)= x and 1sx55 %3D…

A: Given: Set up the integrals that will calculate the area bounded between  f(x)=x, g(x)=x24,   1≤x≤b

Q: Find the volume of the cylinder in terms of x. The diagrams are not drat 15 m 10. 1.7 m .3

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Q: If y = 7 in. and z = 39.7 in., then the TOTAL SURFACE AREA of the cylinder is pi and round to…

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Q: The volume V of the right circular cone is . If the height is twice the radius, which of the…

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Q: 6. Use calculus to calculate and to prove that the volume of a right circular cylinder with radius r…

A: There are many ways to prove the volume of the right circular cylinder using calculus. The method of…

Q: HHd CHe VoIume of the slived hemisphere (use your Tr button and round to the nearest w r 6 in.…

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Q: B) Find the volume: z= Vx² + y? %3D

A: Answer is given below

Q: Given the function: ((x^2)/9)+(((y^2)/4)e^0.2x)=1  revolve around the x-axis to make an egg and find…

A: The given curve is as follows: The equation of the curve is x29+y24·e0.2x=1.  Thus, the curve…

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a horizontal element, the total…

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Q: Give the area of the region enclosed by y = x2 , x = 2, and x – axis. А. 4 В. 8 C. 8/3 D. 4/3

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Q: Ex3- Find the Volume of the rgion beneded by the Cylinder Xy>4 and the planes 7=0fX++7=4

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Q: Find the surface area of the cylinder to the nearest whole number. 15 in. 19 in. Not drawn to scale…

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Q: Determine the area to the left of g (y) = 3 - y? and to the right of r -1. О 23.91 O 6.45 O 10.67 O…

A: We need to find the area to the left of g(y)=3-y2 and to the right of x=-1 Plotting the required…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the area limited by the line x + y = 10, the axis OX and the ordinates of x = 2 and x = 8.

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Q: Find the Area of the region enciosed by the cuNes ーメー0 and x+2ずニ3

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Q: Find the area under the line y = 9x, between the limits a = 0 and b = 3 a) 32 O b)40.5 c) 42.45 O d)…

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.