Write the eguatoN: ation: vertical Asympto te at x- -1 d olible zero at X= 2 y intercept at (0,2

Q: Find the surface area of the object obtained by rotating y = 1 +. 8x2 , 2<x 3 about the x-axis. 4

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Q: Find the midpoint M of CD M = (, ) X1+X2 Y1 %3D 21 C = (-2,-10) D = (-6,0) M = ([ ? ], [ ]) Enter…

A: Explanation of the answer is as follows

Q: Wanting to invite Juliet to his party, Romeo is throwing pebbles at her window with a launch angle…

A: Given:The angle of projection is 37 degree.The verticel distance from the window is 7.0 m. That is,…

Q: F ind the equetion (in the x y pleoe) of the cure gou get by pere bole y=x? counterclockwise of…

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

A: The line segment y=x4, 0≤x≤7 is revolving about the x-axis and generate a cone. Find the lateral…

Q: Sketch and evaluate the reverse in tegral 9/x dy dz

A: Consider the provided integral,

Q: i) Pre that at the Point x- of the Crerve Y: 4m-S, the radices of cervatune f' 5is

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Q: Q1 Find thr relative maximum and minimum of: fx, y) = x² + y² + z?given that 9x? + 4 y² + 2z? = 36…

A: Consider the provided question,  minimize and maximize, fx,y,z=x2+y2+z2                        ....1…

Q: Find the surface area of the portion of the sphere generated by revolving the curve y = 1- x², 0sis…

A: y=1-x2,  0≤x≤12 Differentiating with respect to x, we get dydx=121-x2·0-2x=-x1-x2

Q: Which integral computes the circumference of the ellipse +y? = 1? 2 216-322 16 – 4x2 dx 16 — З2? -…

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Q: Find the equahion a Hhe tangent Lie FlX) =482- 5X +7 when R=1

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Q: A particle follows the trajectory x(t) = 3 + 2t, y(t) = 10t – t2 with t measured in seconds and…

A: Given: xt=13t3+2tyt=10t-t2

Q: Find the length of the curve. x = 413. y = 612. 0 sts v8 %3D The length of the curve x = 4t°, y = 6t…

A: Given curve x=4t3,   y=6t2    0≤t≤8

Q: Determine the interval I for which the following DEQS have a unique solutio whose graph passes…

A: We will solve this by existence theorem of ode

Q: find the Volumae of soliel generated by revolving the region in the first quadsant bonended by y=X…

A: The volume of revolution generated by full revolution of the area A between the curves y1=f1(x) and…

Q: The bending moment, M, varies with distance, x, from one end of a beam according to: 1 M = - zwx? +…

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Q: Find &y:3mは や Rirst * = In in the the between the Curve area the line メ=H quadraut

A: We first sketch the region using a graphing calculator

Q: f(x.y) = x²y - 2Xy? + 3Xy +4 %3D A Find the alobal maximum and minimum.

A: The given equation of the function f(x, y) = x2y - 2xy2 + 3xy + 4. 1. To find the maximum and…

Q: solid that results when R is revolved about the y-axis.

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Q: Q2: A-The Trapezoidal rule for roodx 5 and Midpoint rule /)dx=4 What value does . Simpsons rule give…

A: 1st we will find relation between trapizoidal , mid point and simpson rule . Then will use this…

Q: Evaluate [. 2y² + 4z² ds, where o is the first octant portion of a cone z = x² + y2 with height of…

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Q: Find the area of rotating face farmeal by rotading given by thepart 아 the curve y =Inx, 1<x42 around…

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Q: ди ди + x - Əx %| ду 0 =

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Q: dx, using two and three points Gauss Quadrature Q4 (a) Approximate the value of

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Q: Sketch the surface given by the function. z = 9-x?-y?

A: Given, z=9-x2-y2

Q: Find a parametrization of the osculating circle for the parabola y = x2 when x = 1

A: It is given that, y = x2.The parametrization is, r (t) = &lt;t, t2&gt;That implies,

Q: Find the surface area generated by rotating the semi-circle x = 49 – y? be- tween -7 < y 7 about the…

A: Given, x=49-y2  between -7≤y≤7 dxdy=1249-y2-2y=-y49-y2 By the formula:  S=∫2πx1+dxdy2 Plug the…

Q: Find the tangent to the ellipse x? + y² = 1 at P:(V2,1//2). %3D 4 ソ-Va z-Zol

A: Solution:-

Q: Q3: Find the length of y=√x+2,1 ≤ x ≤ 7, Using ds = Y 04 1+²dy rotating

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Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 392x The…

A: We have to find the area of surface.

Q: Wrat is the equation in standard form of ahyperbola whose asymptotes are y=- うオー and y= -x- and a…

A: Given: y=32x-92         asymptote 1 to hyperbola                                         1y=-32x -32…

Q: The temperature at point (x.y) on a metal plate is T(x.y) = 324x - 324xy + 81y. An ant on the plate…

A: Given that Tx,y=324x2-324xy+81y2 ∇T=648x-324yi+-324x+162yj and equation of the circle of radius 5…

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: Find the mZR in trapezoid QRST where QT||RS below.

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Q: Sketch the cunves x= 6-y and x t3y = 2 cnd fnd the Aea encbsed.

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Q: The midsegment of trapezoid DEFG shown below is XY. Find the length of XY.

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Q: The radius of a sphere increases at a rate of 4m/ sec. Find the rate at which the surface area…

A: Solve it

Q: Find the points on the cone z 22 = x2 + y? that are closest to the point (-3,1,0)

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Q: 7. Find the surface area of the cone frustum generated by revolving the line segment x 1 y ==+ 1s…

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Q: Find the area of surface that is generated by revolving the portion of the curve x = V64 – y² , – 2…

A: Solution :-

Q: Find the area of one side of the “winding wall” standing orthogo-nally on the curve y = x2, 0 &lt;=x…

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Q: 7.38. Calculate the second moment of area for a 2 × 6 piece of lumber about the x-x and y-y axes, as…

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Q: Find a parametrization of the osculating circle for the parabola y= X sequar when x=1

A: The given equation of parabola is y = x2.We are asked to find the equation of osculating circle for…

Q: Find tre Obtaiced by fotatig Y =axis. the Solid of revolution OkxE3 acound tre Sur face area of =…

A: Formula used: The surface area of the curve y=gx with m≤x≤n and rotated about y-axis is…

Q: Which integral computes the circumference of the ellipse + y° = 1? %3| 2 16 — За? dx 16 — 4г2 2 -2 2…

A: As we know the differential arc length of a curve is ds=dxdθ2+dydθ2dθ  The parametric equations of…

Q: Where m = 90°, the solid of revolution determined by revolving right triangle about leg is a right…

A: Our Aim is to determine when m=90°, the solid of revolution determinedby revolving right triangle…

Q: Let f(x, y) = x? + 4y. Find the extreme values of f on the ellipse x? + 2y? = 1.

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Q: Find the area of the surface generated by revolving the curve x = 9y +1; 0 < Y< 12 about the y-axis.…

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Q: Find the arclength of y = 3x + 5 on 0 < x < 1 %3D Question Help: Video Message instructor Submit…

A: soltion:-y=3x2+5 on 0≤x≤1arc length is given byarc length=∫ab1+dydx2dx

Q: Diameter YZ is parallel to chord WX and mWX=50°. What is mXZ?

A: Circle