9.2.69 he cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 800 feet apart and 80 feet high. If the ables touch the road surface midway between the towers, what is the height of the cable at a point 200 feet from the center of the bridge? 80 ft 200 ft 800 ft The cable is 20 feet from the road surface at a point 200 feet from the center of the bridge.

Q: Farmer Jones and his wife, Dr. Jones, decide to build a fence on their farm. Because Dr. Jones is a…

A: Follow the procedure given below.

Q: b) Consider now the portion of the parabola which is below the line y = 2. Which points have the…

A:

Q: Q.2)(A) Find a formula for the area of the triangle in the xy-plane with vertices at A(0, 0), B(a1,…

A:

Q: What is the point on the parabola y = x? that is closest to the point (6,3), and what is the minimal…

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: 4. Fit the following data with a parabola: 0.75 2 3 4 8 8.5 y 1.2 1.95 2 2.4 2.4 2.7 2.6

A: We have to fit the barabola equation from the given data.

Q: Find the length of the arc of the parabola x2 = 4y from x = -2 to x = 2. А. 4.3 В. 4.6 С. 4.9 D. 5.2

A: we have to find the length of the arc of the parabola x2=4y from x=-2 to x=2

Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). If the parabola is…

A: According to question given that  y=x2, vertex is (5,-4)

Q: 19. Find the area of the largest rectangle with lower base on the x- axis and upper vertices on the…

A:

Q: 3) Fit a parabola to the data. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611…

A: the equation of the parabola is given by y=ax2+bx+c we have to use the calculator to find the…

Q: The graph shows the normal lines from the point (2,0) to the graph of the parabola x = y?. How many…

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Q: A conical cup is made from a circular piece of paper with radius 10 cm by cutting out a sector and…

A:

Q: 4.The parabola opens O A. upward O B. forward O C. backward O D. downward

A:

Q: Q13:- Given a parabola y? P1 tangent to the parabola. Find the area of the triangle A0AB = 4px, and…

A:

Q: 19. Find the total area between the parabola y = x² - 4x, the x-axis, and the ordinates x = -2 and x…

A:

Q: 19. Find the total area between the parabola y = x2 - 4x, the x-axis, and the ordinates x = -2 and x…

A: We can use integration to calculate the area

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: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

A:

Q: 5. The moon is 3476 km in diameter. What radius of curvature should a concave mirror have if it is…

A:

Q: Find the length of the curve from the entire hypocycloid 2 2 x3 + Y³ = a³.

A: Explained below

Q: 3. Fit a second degree parabola y = ax? + bx + c to the following data %3D 3. 4 y 1 1.8 1.3 2.5 6.3…

A:

Q: 9) Find the point on the parabola y = 10-x² closest to the point (0, 5.5).

A: Given question:- Find the point on parabola y= 10-x2 closest to point (0,5.5)

Q: Let F(r, y) = (x + 1)7, and let C be the portion of the parabola y = x² that starts at (0,0) and…

A:

Q: 1. A rectangle has its base on the x-axis and its two upper corners on the parabola y= 12 – x. What…

A: The diagram for the given condition is shown below. 'A' lies on the parabola, y=12-x2 Coordinates…

Q: 7. For whit value of b will the line y =- y 3x +4x -1? 2x+ b be tangent to the parabola

A:

Q: The centre of a circle C lies at the focus S of a parabola y2 = 4x and the radius of C is equal in…

A:

Q: 13.The axis of symmetry of the parabola is O A. X = 4 O B. x = -16 O C. x = 16 O D. x = -4

A: The given equation of parabola is: f(x)=-(x+4)2+16

Q: ... 17 classroom.google.com @ Trainl 7. A cross-section of an irrigation canal is a parabola. Ifthe…

A:

Q: 5.Find the point on the parabola x? = 4y nearest to (0,4).

A: Given:      x2 = 4y    Point : ( 0 , 4 )

Q: 4. Fit a second degree parabola y = a + bx + cx? to the following data 2. 8. 10 y 3.07 12.85 31.47…

A:

Q: The distance between the towers of the main span of the Golden Gate Bridge is about 1280m; the sag…

A: We have,  y=143m,   x=12802

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 80 feet. The…

A: The standard form for the equation of an ellipse with enter (h, k), horizontal major axis of…

Q: stuck on the attached problem

A: Please refer to the white board. We have to find the volume shaded in the first diagram. This volume…

Q: 1. Which is the equation of a parabola that is concave down with a y-intercept of 5? 1. y -+ 5x +1…

A:

Q: 13. Find the point on the parabola y* = 2x that is nearest the point (1, 4). %3D

A: As per our guidelines we can solve only one question or three sub-parts. To ask more please…

Q: 3. A piece of wire of length shape of an equilateral tr should the wire be cut sa a) a minimum? b) a…

A: L: length of the wirex: one piece of wire cut from length LPerimeter of the equilateral…

Q: (c) Determine the natural cubic spline that interpolates the data f(0) = 1, f(3) = 2, f(8) = 3 and…

A:

Q: a) Show that the length of the arc of parabola y? =16x measured from the vertex to an extremity of…

A: Given the parabola y2 = 16x.

Q: 2. Find the dimensions of the rectangle of largest area that has its base of the x-axis and its…

A:

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a)…

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:…

Q: 9.  Find the shorted distance from point A(2, 1/2) to a point on the parabola y = x2. And find the…

A:

Q: A spotlight is made by placing a strong light bulb inside a reflective paraboloid formed by rotating…

A: Let's find how far from the vertex should the bulb be placed.

Q: A point moves on the parabola 10y = 5x² + 3 in such a way that when x = 6, the abscissa is…

A: To find the increasing rate of ordinate at x=6, differentiate 10y=5x2+3 with respect to time, t,…

Q: 10. Fit a second degree parabola to the following data. 3 4 Y 1090 1220 1390 1625 1915

A:

Q: A parabola having its x axis parallel to the y-axis has its focus at (5,6) and vertex at (5,4).…

A:

Q: 13. Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)²=2y,…

A:

Q: 1. Find the point on the parabola y = 3 – x² that is closest to the point (6, 0).

A:

Q: 10. Draw the parabola with the following conditions a) A zero at (1, 0) the vertex at (3, -4) and y…

A:

Q: 2. Find the point on the parabola x+y? 0 that is the closest to the point (0, -3).

A:

Q: 3) Assume that the parabola y=x is translated so that its vertex is (5,-4). I If the parabola is…

A: Let's see a concept of stretch of function y=f(x). Say y = f(x) is parent function.

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.