Al 21. What type of three-dimensional object forms when a semicircle is rotated around the a-axis? cylinder cone full circle sphere

Q: 3. Find the right triangle of largest area inscribed under the parabola y = 4 – r² with its base…

A: Given: y=4-x2 Vertex of the parabola will be at 0,4 and the points where parabola intersect the…

Q: 3. (a) Suppose AABC is a triangle on the unit sphere S and suppose A = π/4, B = π/3, and C= π/2.…

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Q: The circle x² + (? − 1) 2 = 1 is rotated around the line y = x-3. A torus is formed as a result of…

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

A: Given curve is y=x2

Q: 17. Concentric with the circle (x – 2)² + (y – 1)² = 4 and passes through (4, –1) %3D

A: Given, Concentric with (x-2)2+(y-1)2=4 and passes through (4,-1) General equation of circle is…

Q: Chapter 12, Section 12.5, Question 013 Find the curvature and the radius of curvature at the stated…

A: The given vector-valued function is rt=6cost i+6sint j+7t k at t=π2 to find the curvature and the…

Q: 4.10 Repeat Prob. 4.9 but for a copper sphere with radius = 0.15 ± 0.01 m, e = 0.90 ± 0.05, and T =…

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Q: 5.2 Compute I = e -dz, where C is the boundary of the square centred at the origin, with sides of…

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Q: 2. Find points P and Q on the parabola y = 1 - x² so that the triangle ABC formed by the r-axis and…

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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: Given

Q: 7. two circles with areas 2T cm2 and 200T cm2 uoluos ofra

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Q: What is the area of the conic (x + 3) + y 25

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Q: 11. Evaluate 2 dA, where D is the shaded part inside the semicircle of radius 2 in Figure 26. 2…

A: To Find:  D is the shaded part inside the semicircle of radius 2 From the figure, the restrictions…

Q: What is the ratio of the area to the perimeter of an ellipse 9x² + 25y² = 225? %3D O None of these O…

A: Topic:- geometry

Q: 4. What happens to the solid in Problem I if the radius of the first cylinder is different from 1?…

A: Let us consider a solid enclosed by three cylinders x2+y2=1, x2+z2=1 and y2+z2=1 Let the radius of…

Q: A reflecting telescope contains a mirror shaped like a paraboloid of revolution.If the mirror is 4…

A: When we draw the parabola  to form the mirror on a rectangular coordinate system  we find…

Q: Find the sccond derivate Of the finctron Y =2*. Inx

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Q: 11) Find the Area of the sector of the circle Round yaur answer to nearest en ths Area of Sector %3D…

A: Given that, The angle of sector of circle is, θ = 43o Redius of sector is, r = 33 cm We have to find…

Q: I. Give one other possible application that are not stated in the material of the following…

A: Solution :-

Q: Use Green's theorem to find the area between ellipse 16 = 1 and circle x2 + y2 = 25.

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Q: In the figure PQSO, is a trapezium in which PQ || OS, ZPOS = 135° and ZOSQ = 90° points P, Q and R…

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Q: Which of the following is the cross-section of this solid?

A: Find the cross section area

Q: A pole of length AB is to be moved in two corridors of width 27 nd 8 ft. Find the minimum length AB…

A: Given:- A pole of  length AB is to be moved in two corridors if width 27 feet and 8 feet.

Q: 2 Green's theorem, evaluate ((+) dx + 3xy dy where C is the circle * +y = 4.

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Q: ) convert the eylindrieal pt (3, 7%,-2) to rectomgular ) conrert the nectamgular ) to cylindrical

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Q: 3. Infer some rosults from the axioms and illustrations of the three- line and four- line…

A: As per your requirement, answer of 3rd part is mentioned below

Q: A bridye forma parubolic arch, the carch is eBm wide and its center i3 6m above the buse Usiny the…

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Q: What is the area of a sector ACB? Leave your answer in terms of T. A 10g 5ft

A: Given Radius, r = 5ft.  And angle theta = 108 degree

Q: Find the center and radius of circle x“ + y° - 2x-4y+1=0. Prove thot (0

A: I am solving question 1. if you want other question to be solved then repost.

Q: sphere will reach point B as it swings about 'O' (a) If OA is a rope vertical plane. Determine the…

A: Answer:

Q: under a dilation of scale factor 2 with the center at the origin, if W (6, 7), what will be the…

A: A dilation of x multiplies the coordinates of a point by x. The given scale factor is 2 and the…

Q: As shown in figure 5.111 to the right if the two small semicircle, each of radius 1 unit with…

A: For the given figure both small semi circles with center O' and O" are of the same radius, so their…

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

A: Given: Equation of parabola : y= x2  Arc of parabola passes through (1,1) and (2,4).

Q: 1 3 1 Let p be a point in the interior of Aabc with barycentric coordinates What is the area of Apbc…

A: Given P is interior point of triangle ABC. barycentric coordinates of P are (12,38,18)

Q: : The area of the surface obtained by rotating the curve y = 2 In a, for 1 < a <e, about the a-axis,…

A: We have to find the integral that given the surface area.

Q: 2) (section 6.1) Find the length of the small arc formed by the intersection of the unit 1 circle a…

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Q: Calculate the length of the astroid of a + ys = 3.

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Q: Evaluate fc (2 +x 2y ) ds, where is the upper half of the unit circle x2 y2 =1

A: We have to evaluate ∮C2+x2ydS   where C is the upper half of the unit circle x2+y2=1

Q: 1. The parts of spherical triangle are B=120°, C=150°, a=135°. What is the spherical excess? Compute…

A: We know: cos(A) = cos(a) sin(B) sin(C) − cos(B) cos(C)             =cos(135°) sin(120°) sin(150°) −…

Q: Question 2 of 10 It's possible to create a regular tessellation with a regular pentagon. OA. True…

A: We can answer the question as below.

Q: '99 '37 37 XCOS Z Evaluate dzdydx. and the sphere

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Q: 1. In the example above, what is the height of the tunnel 12 ft away from the center towards the…

A: From the  example above,                                      We can see that we are using the…

Q: 6. Find the area and centroidal distances of the curve that lies between the equations y-4-x^2 and…

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Q: 3. In kite WXYZ, WX =YX =25 WZ=YZ=39, and WY = 30. Sketch this kite, and then determine the length…

A: topic - Pythagoras theorem

Q: ne area of the sector MAG in terms of T and appro ximated to the nearest

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Q: Point P is the centroid for AMNO. calculate MO if MR = 13. Round to the nearest tenth if necessary.…

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Q: In AVWX, mZV = (4x +3)°, mZW = (x+7)°, and mZX = (5x + 0)°. %3D What is the value of x? .... ....…

A: We have to find the value of x

Q: Prove that the surface area of a sphere with radius r is given by S = 4r? using the methods of this…

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Q: stion 6.13 Velod ove, a particle has - al distance traveled

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Q: Find the areas of the regions Inside the six-leaved rose r2 = 2 sin 3θ

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