-) 4x² + 16y = 64 from x = -4 to x= 4; Axis of revolution: x -axis

Q: 4- The centroid of the shaded area is required to lie on the y-axis. Determine the distance b that…

A: Answer is mentioned below

Q: The plane region is revolved completely about the given line to sweep out a solid of revolution.…

A: When a rectangular plane is revolved around one of the edges, the solid of revolution forms a…

Q: 7 Find the lateral (side) surface area of the cone generated by revolving the line segment y = 3x,…

A:

Q: A circle with radius 1 centered at (0, ) is tangent to two points of the parabola y = a². What is…

A: We have to find the area of the shaded region.

Q: (iii) The line segment x = y - 1,0 < y< 1 is revolved about the y-axis to generate the cone shown in…

A:

Q: 32. The surface of an astroid Find the arca of the surface gen- erated by revolving about the x-axis…

A: Find the area of the surface.

Q: Three circles with radii 3.0, 5.0, and 9.0 cm are externally tangent. What is the area of the…

A:

Q: 43.) In a circle, an arc that is less than a semi circle is a a. major arc b. minor arc c. vertex d.…

A:

Q: Uke Green's theorem to find 6 3ydve tTx d, where C is the circle with radius 4 centered at the…

A: Here we have to find ∫c3ydx+7xdy by using Green's theorem where c is the circle with radius 4…

Q: 22. The opening under a bridge is in the shape of a semielliptical arch and has a span of 80 feet.…

A:

Q: Solve the problem. Consider a sector of a circle of radius 6 cm with central angle 0 of 112°. Find…

A: We have to find the area of a segment of the yellow region with a central angle of 112 degrees and a…

Q: A sphere inscribed in a right circular cone with altitude 18 cm. If the slant height of the cone and…

A: A sphere inscribed in right circular cone with altitude of 18 cm and the slant height of the cone…

Q: 4. In circle O, radius OA = x+16 and radius OB = 4x + 48. Find all possible lengths of a diameter.…

A:

Q: An ink bottle is in the form of a right circular cylinder with a large conical opening as shown in…

A: When we flipped the ink bottle, there should be no spills of ink as shown below The vertical…

Q: Eve, an Al robot travelled to moon for US's space exploration. AS part of the mission, she is to set…

A:

Q: LA disk method is used when the solid is hollow. II. A volume can be solved using washer or disk…

A: Option II) A volume can be solved using washer or disk method.                 III) The strip using…

Q: Find the area of the resulting surface if an arc of a parabola y=x2 from (1,1) to (2,4) is rotated…

A:

Q: 6) Find the area of the surface generated when the upper portion of the circle x + y? = 100 on the…

A:

Q: Q and R are points on a circle, centre O. PQ and PR are tangents to the circle. Q о. 44° R Work out…

A:

Q: AB and AC are tangent to circle Q whose radius is 1 unit. В A 5. Find x if AB=2x² + 2x+1 and AC…

A: Solving the 1st given question Given: AB, AC are tangent to circle Q of radius 1 unit

Q: Find the envelope of the sphere of constant radius ? on the fixed circle of radius ?.

A:

Q: Find the lateral (side) surface area of the cone generated by re-volving the line segment y = x/2,…

A: Obtain the lateral surface area as follows.

Q: Two circles whose radii are 12cm and 16cm, respectively intersect each other. The angle between the…

A:

Q: Find the surface area of the cone frustum generated by revolv-ing the line segment y = (x/2) +…

A: Consider the given line segment,The surface are of the cone frustum generated by revolving the line…

Q: 1. The length of a radiUs of circle is qcm. The arc of a sector measures Go°. Find the area of the…

A: A radius is a line segment where the endpoints lie one at the centre of a circle and one on the…

Q: Find the entire length of one arc of the cycloid x= 20-2sine, y 2-2cose. (A cycloid is the curve…

A:

Q: 5.A right circular cone of slant height 10 in. has a radius of 4 in. Find the angle of the sector of…

A: The given problem is to find the angle of sector whose area is equal to the lateral surface area of…

Q: he volume of a sphere generated by revolving the upper half of a circle with center (0,0) and radius…

A: r = 4

Q: 40.) A line in the plane of a circle that intersects the circle at two points is the a. tangent b.…

A: We know that secant is a line in plane of circle that intersects the circle at two points

Q: The line segment x = p - y,0 <y < p, is revolved about the y-axis to generate the cone as shown in…

A: Use simple integration formula for lateral surface area.

Q: A solid has circular base of radius 20 cm. Find the volume of the solid if every plane section…

A: Given: The base of solid: Circle with radius, r = 20 cmTo find; Volume of solid (V) for every plane…

Q: 29. The shaded band shown here is cut from a sphere of radius R by parallel planes h units apart.…

A:

Q: 11. In the figure at the right, sphere O with radius 15 mm is intersected by a plane 3 mm from the…

A:

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x/2, 0…

A:

Q: True or False: Given secant AB goes through the center of circle H and intersects the circle at…

A: The diameter is the length of the line through the center that touches two points on the edge of the…

Q: Find the lateral surface area of the cone generated by revolving the line segment y = x/2, 0&lt;=…

A: Find the lateral surface area of cone.

Q: Problem the circle xây? a? otatad about the x- escis, fnd the Jolume of the Solid geverated 2.

A:

Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x by the line…

A:

Q: 8. If radius OC1 chord AB at D, AB=16 cm and OB =12 cm, find the distance of chord AB from the…

A:

Q: Find the entire length of one arc of the cycloid x = 20- 2sine, y 2-2cose. (A cycloid is the curve…

A:

Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x' by the line…

A:

Q: 7. Match the parts of a circle, • 1. A a. Radius b. Chord - 2. B c. diameter - 3. D d. Minor Arc •…

A: We Know that  The center of a circle is the point equidistant from the points on the edge. In a…

Q: You are given a y=sqrt(36-x^2), -3≤x≤3, curve that rotates about the x-axis. What is the area of the…

A: Given curve is y=36−x2, −3≤x≤3 and curve rotates about the x-axis. We have to find the area of the…

Q: 3.) x? = 4ay from x = 0 to x = 2a; Axis of revolution: y -axis

A:

Q: Note: Kindly provide a solution pls. The answer is already provided. Thank you! 1.12 Two identical…

A: consider a radius of the small circle is  r

Q: What is the region or section of a circle that is bounded by a chord or secant and the arc connected…

A: Given query is to find the correct option.

Q: Write the equation of the circle with the center and area given below: Center: (-8, -11) Area: 167…

A: We have to find equation of circle

Q: Using Green's theorem, evaluate $ y°dx – x°dy, where C is the positively oriented circle of radius 4…

A: Green’s Theorem Let C be a positively oriented, piecewise smooth, simple, closed curve and let D…

Q: Find the area of the resulting surface if an arc of a parabola y=x2 from (1,1) to (2,4) is rotated…

A: The given curve is: y=x2        from   (1, 1)  to  (2, 4)

Q: an arch (for a bridge) is semi-elliptical and has horizontal major axis. The arch is known to be…

A: