25 E. A reflecting telescope contains a mirror shaped like a paraboloid of revolution. If the mirror is 16" across at its opening and its 2 feet deep, where will its light be concentrated? (That is, give the distance from the vertex to the focus.)

Q: Problem The Circle xiy² a? is rotated about the x- ascis, find the Jolume of the Solid geverated 2.

A: Find the attachment

Q: 1+ 1 А 3. Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the…

A:

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 2 feet from…

A: equation of such type parabola is  x2=4pywhere p is focus

Q: 7) At the right is the top view of a Chemistry Butiding in UP Diliman. It resembles the famous…

A: The sum of a polygon's internal angles: The following formula is used to determine the sum of…

Q: 5. Use sheees to tirel the udure di the s reuolutian: Reçim bameled loy about Hhe axes : Y2x ) メ-0…

A:

Q: 2- In order to read his book, Stephen uses a pair of reading glasses. When he bolds the book at a…

A: Solution

Q: Show that when a satellite is in elliptical orbit, its speed V is given by v² = k = k ( ² − ²) and…

A:

Q: 2. Give illustrations for the thrce - line and four - line geometries.

A: 2.   Axioms for the Three line Geometry:  •There exist exactly 3 lines in this geometry.  •Two…

Q: 5. Find the equation for the sphere whose center is at (-1, 1/12-13) and radius is

A:

Q: The designer of a 30-ft-diameter spherical hot air balloon wants to suspend the gondola 8 ft below…

A:

Q: thus. d the point on he sphere X+y?+=4 Selution:- ans.-

A: We use Lagrange Multiplayer method.

Q: 22. Which of the following is the BEST description for the resulting three-dimensional figure if a…

A: topic - rotation

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

A:

Q: The surface z² = 1 is a hyperboloid of 36 25 one sheet. Select one: True False

A: The hyperboloid of one sheet given by the equation x2A2 + y2B2 - z2C2 = 1

Q: et D be the triangle with vertices (0,0), (1,0) and (0, 2). Compute ffp (e2y + 1) dA.

A: We have region  D  by a triangle 0,0, 1,0 0,2                               The equation of…

Q: A flashlight shape like a paraboloid has its light source at the focus located 1.5cm from the base…

A: Sol:     given:  4 flashlight shape like parabolaod                  and its light source of the…

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: A satellite dish in the shape of a paraboloid is 10 ft across, and 4 ft deep at its vertex. How far…

A: Given,           A satellite dish in the shape of a paraboloid is 10 ft across, and 4 ft deep at its…

Q: Solve for the length of radius AB of circle A when CD = 4 cm and BD = 8 cm and B is a point of…

A: Geometry Question

Q: In(x + y) dA where R is the triangle with vertices (1,0), (1,1), (0, 1).

A: Let - I=∫∫Rln(x+y)dA Where R is triangle with vertices (1,0),(1,1),(0,1) Equation of line joining…

Q: 9. What is the resulting image of D' after a reflection about the line y3Dx? ty D Rule: A B

A: Topic - symmetry and geometry

Q: 3. Find the solution for a circular dru conditions are

A: Given: The equation are, ∇2 u + k2 u =0 ......(1) With u=0 when r = R

Q: Show that the surface area obtained when the arc of the parabola y? = 16az from I = 0 to r = h is…

A: Surface area

Q: Consider the following points in the figure lies on the same plane. If the height of the structure…

A: Given, height of the structure is 400 feet, A1B1=7 feet CA=14 feet A2B2=8 feet DA=10 feet

Q: Suppose that a solar cooker has a parabolic mirror (see figure). 4 in. 12 in. a. Use a coordinate…

A: (a)

Q: State the type of the quadratic surface: ()* + () + 2? = 1 1. Hyperboloid of two sheets 2.…

A: Given equation represents surface  3. ellipsoid

Q: Use Trapezoidal with » level Romberg (k=3) to evalu ate dx

A: Given ∫05π4x4cosπx4dx. i h Ri,0 Ri,1 Ri,2 Ri,3 0 5                     1 2.5…

Q: Using the property of Re z and Im z to show that the hyperbola x2 - y? = 1 can be written as: z +…

A:

Q: A certain cubical the was thrown 96 times and shows 2 upwards 184 times. Is the the biased?

A: a dice  thrown 96 times and shows 2 upwards 184 times.   to determine, this dice is biased or…

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: Given A ABC with points A (-1,2) B(4,-3) and C (0,0) dilated about a center at the origin by a scale…

A: The dilation factor is 3 Let the new coordinates be A'B'C' Then the new coordinates will be…

Q: 2. A man is viewing a large oil painting which is on display at the Millenium Art Gallery. In order…

A:

Q: If the area of the triangle is 25 square meter, the centroid of the shaded area shown in figure (4)…

A:

Q: Will a truck that is 12 feet wide carrying a load that reaches 11 feet above the ground clear the…

A: Here we use the basic equation of the ellipse.

Q: 9. Given the following equilateral triangle with a circular hole as shown, where would the centroid…

A:

Q: Find the equation of a circle whose center is at (3, -5) and whose radius is 4. A. x² + y? – 6x +…

A: Use general equation of circle:  (x-x0)^2 + (y-y0)^2 = r^2  And equation of parabola is : (y-y0)^2 =…

Q: 4. ABCD are vertices of a quadrilateral inscribed in a circle with center E. BF and CF are tangents…

A: We have to find the angle.

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: M and N are the midpoints of the legs of trapezoid EFGH. If bases EF and HG have lengths 2r + s and…

A: Given:  M and N are the midpoints of the legs of the trapezoid EFGH. The length of bases EF and HG…

Q: 2. 17. In Figure 7, ABCDE is a regular pentagon with side of length 2. What is the x-coordinate of…

A: Given A regular pentagon with the vertices  ABCDE  Sides of pentagon = 2  Coordinates of A (1,0)…

Q: Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z² +…

A:

Q: Figure 2 shows a cuboid and a cylinder (not drawn to scale). Edge AD has length 12 cm, edge BC has…

A: Given:

Q: Given A ABC with points A (-1,2) B(4,-3) and C (0,0) dilated about a center at the origin by a scale…

A: Topic:- Geometry

Q: Complete the following table Polyhedron 1 Cube 2 Square Pyramid 3 n-Pyramid 4 n-Prism 5 Tetrahedron…

A: To complete the given table  Hence the table below represents the number of faces, edges and…

Q: D. Find The or mogonal traectory of the family f aurves y=

A:

Q: In the rectangle KLMN, with lengths KM = 10x + 24 and LA = 32. Find the %3D %3D value of x. O x = 8…

A:

Q: The reflector of a searchlightis in the shape of a paraboloid of revolution. Its diameter is 12…

A: for above problem drawing figure

Q: WXYZ is an isosceles trapezoid with bases WZ and XY and midsegment MN. Use the given information to…

A: Tarpezoid mid segment theorem Theorem: The midsegment of a trapezoid is half the lengths of the two…

Q: If JKLM is an isosceles trapezoid, and KP = 9 and PM = 9, what is JL?

A: In the given isosceles trapezoid JKLM, KP=9 and PM=9

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.