A(4,0,4) C В (0,7,0) y

Q: finding the lateral area, surface area and volume of a right circular cylinder with the given radius…

A: Our Aim is to find the Lateral Area, Surface Area and Volume of a right circular cylinder whose…

Q: Line l is a tangent to the circle. Find the measure of arc XY Z. Y 120° Z. The measure of arc XY Z…

A: →Angle measured by arc means angle measured by arc at the center of circle.

Q: The area is bounded by the curves y2 4ax and y = 2x. Find: a. Area b. M, аnd My c. Centroid of the…

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Q: 41. Prove a famous result of Archimedes: The surface area of the portion of the sphere of radius R…

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Q: The volume of a spherical balloon is increased by inflation. Radius of it is increased from r=10 cm…

A: The volume of sphere when radius is r: V=43πr3

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

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Q: An endless chain of weight W rests in the form of a circular band round a smooth vertical cone…

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Q: An endless chain of weight W rests in the form of a circular band round a smooth vertical cone which…

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Q: An unevenly heated metal plate has temperature T(r, y) in degrees Celsius at a point (r, y). If T(2,…

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Q: The boundaries of the shaded region are the y-axis, the line y = 1, and the curve y = Vx. Find the…

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Q: Væ? + y² to the point (2, –6, 0) . Find the minimum distance from the cone z = The minimum distance…

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Q: 3) Suppose plane P, contains the points A(5,0, –1), B(2,3, 2), and C(-2, 1, –4), and assume P, is…

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Q: Finding arc length Find the length of the curve y = | Vcos 21 dt, 0sxS/4. 0.

A: Given: y=∫0xcos2tdt, 0≤x≤π4 To Find: arc length of the curve Concept: Arc length of the function…

Q: d the plane tangent to the functio

A: Given that: The equation of the function is z = x y at the point ( 3, 49).

Q: orthe volume of the sold obtain by rotating the reglon endeosed by the curves y 2- and yo about the…

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Q: curves about the x-axis. y = x, y = 0, x = 2, x = 3 O 1 O 13 O 19

A: We will find the volume of the region.

Q: rove that the surface area of a sphere of radius a is 4πa2 by revolving the curve y=√(a2−x2) where…

A: Given that

Q: pentagon penta has coordinates p (0,0)' e (4,4) n (8,9) t (8,-4) and a (4,4-) and is dilated at the…

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Q: Find the point on the sphere x +y +z = 4 farthest from the point (1, – 1,1). The point is ( ID:…

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Q: Establish an Intergral Por finding the surface area of the Object obtained by rotating y-'t4i16 *<5…

A: Given that  y=x^3+4 1≤x≤5  To find the surface area of the region bounds by about x axis and y axis

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y= 11 x,…

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Q: The planex/2 + y/4 +z/3 = 1intersects the x-, y-, and z-axes in points P, Q, and R. Find the area…

A: Given: x2+y4+z3=1

Q: B) ! Find equations of the tangent plane and the normal line to the surface x +y +z = e"yz at the…

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Q: 06 Define moments, skewness, and kurtosis. Mention their applications.

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Q: Using Disk Method solution, R is bounded by x-axis, y-axis and the line 2x + 3y = 1. This is…

A: This is a problem of finding volume using integration . Based on the formula and concept we will…

Q: urface S is parametrized by equations x = u + v, y = 3u², z = u – v; The point P (2, 3, 0) lies on S…

A: In this question, the concept of the derivative is applied to find out the equation of a tangent…

Q: (iii) The moment of inertia I of an annulus of inner radius 'a' outer radius 'b' and mass 'm' is…

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Q: Let the center of Earth be located at the origin of a sphere O(0, 0, 0), with the positive z-axis…

A: City is located at 36.78°N and 124.44°W. Assume the radius of Earth is 4000 mi.To Find: Express the…

Q: Designing a gondola The designer of a 30-ft-diameter spherical hot air balloon wants to suspend the…

A: Given information:

Q: Find the area of the shaded region under the quarter circle of radius 2 below. (hint: divide the…

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Q: 1. Region R is bounded by the given curves. (i) Sketch R. (ii) Label its boundaries. (ii) Indicate…

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Q: Scoliosis is a lateral curvature of the spine that can be detected when a grid is superimposed over…

A: Given diagram on graph: Concept: Here to position a point, we shall determine the distance of point…

Q: Arc length of the curve from point P to Q. x^2=(y-4)^3, P(1,5), Q(27,13)

A: P(1,5), Q(27,13) Length of the arc of the curve is given by formula

Q: A Flat Circular plate has the shape of the regioin x? + y= 1. The Plate, ncuding the boundary where…

A: In this question, we can find where the temperature is maximum or minimum. Firstly , we can find…

Q: The region R in the first quadrant is bounded by y = 10 sin y = 10(x – 2)² and y = 8x + 2, and…

A: Here red line stands for 10sin[(pi/2)x] Blue line stands for 10(x-2)^2 Green line stands for 8x+2

Q: Can you prove that: the right side = the lift side, please? cosh(x-y)=cosh x cosh y-sinh x sinh y

A: To prove: The identity coshx-y=coshx·coshy-sinhx·sinhy. Formula used: Hyperbolic function:…

Q: 13. Z'(3, 8) is the image of Z after a dilation centered at the origin with a scale factor of 3/2.…

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Q: The base of S is a circular region with boundary curve 36x2 + 16y2 =144. Cross-sections…

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Q: HOME WORK: find the distance from the point s(1.0.-1) to the plane -4x +y+z = 4

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Q: a) What is the area of trapezoid ABCD? b) The line passing through B and D intersects the y-axis at…

A: As per our guidelines we are allowed to answer first three sub-parts of a question, as you have…

Q: A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the…

A: A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the…

Q: Find the points on the cone z + y that are closest to the point (2, 2, 0). = X (x, y, z) = %3D…

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Q: thogonal projection of y onto u. ne distance d from y to the line through u and the origin.

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Q: ht plane to th t the point where (x, y) = (2, 2) has the equation z = ƒ (x, y) = ln (4x4 y+1) OSP

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Q: B. Use polar coordinates to find the mass and center of mass of a thin plate covering the region…

A: Given x2+y2=4,  x=0, y=xδx,y=1x2+y2+1

Q: Use cylindrical coordinates to compute the surface area A of a sphere of radius R = 8. (Use symbolic…

A: Given that the radius of the sphere is R = 8. The general equation of a sphere with center at the…

Q: 9. Line BJ D 10. LCAF & LCAF 11. HBF& HGF 12. Line BD H 13. НР A. Diameter B. Tangent line C. Secant…

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Q: 4. x = 9 - y?, x = e-y, y = 0,y = 3, rotated about the y-axis 1)Sketch the planar (2D) sketch in the…

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Q: Circle J is located in the first quadrant with center (a,b) and radius s.  Gelipe transforms cirlcle…

A: Given that, Circle J is located in the first quadrant with center (a,b) and radius s.  Gelipe…

Q: State the Cavalieri's principles for 3D solid objects. Prove that the area of a sector with angle 0…

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