How high is the point P on parabolic arc tunnel of the span of 20ft and height of 16ft, at a distance of 5ft from the center?

Q: How high is the point P on parabolic arc tunnel of the span of 20ft and height of 16 feet ,at a…

A: Let x be the horizontal distance from the span and y be the height. Therefore top of height of arch…

Q: 4. . Find the radius and central angle in radians of the circular sector of maximum area having a…

A: P=2r+r(thetha)

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

A: Given that a flashlight shaped like parabloid  has its light source at the focus located 1.5cm from…

Q: A concave mirror of focal length 10 cm forms an upright and diminished image of a real object placed…

A: We need to determine if the statement is correct or not.

Q: 3. Light of wavelength 575 nm falls on a double-slit and the third order bright fringe is seen at an…

A: Please see the attachment According to the guidelines we are supposed to do one problem

Q: Find the length of the arc of the given parabola: x²=4y from x=-2 to x=2

A: We know that the length of the arc of the parabola y=f(x) from x=a to x=b is given by L = ∫ab1+dydx2…

Q: 2. An inverted conical water tank with a height of 12 ft and a radius of 4 ft is drained through a…

A:

Q: A right circular cone of slant height 10 in. has a radius of 4 in. Find the angle of the sector of a…

A: curved surface area of cone= lateral surface area of cone

Q: 3. During the heat of the day, the 100-foot bridge expands 1 inch. Now, the ends of the bridge are…

A: 3. Given: During the heat of the day, the 100 ft. bridge expands 1 inch. Now, the ends of the bridge…

Q: A 183 ft tower is located on the side of a mountain that is inclined 20° to the horizontal. A guy…

A:

Q: Find the length of the arc of the curve y = In x over the interval: [1, 5. Round the answer to four…

A:

Q: Find the length of the arc of the curve y=lnx over the interval: [1,6]. Round the answer to four…

A: The formula for the arc length of the curve is L=∫ab1+dydx2 dx  or  ∫cd1+dxdy2  dy Here, the given…

Q: Find the length of the midsegment of this trapezoid (show all work on paper): 14 22 X =

A:

Q: An inverted cone (base above the vertex) is 2 m high and has a base radius of 1 /2 m. If the tank is…

A: Given, an inverted cone is 2 m high and has a base radius of ½ m. If the tank is full, then how much…

Q: Determine the arc oF the Cur Vて length 9x² = 4(y-1)' por 1s yš2: %3D

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Q: A spherical ball with a radius of 10 cm is full of water. If the water from the spherical ball is…

A:

Q: Find the exact arc length of the curve. x6 + 8 y = from x = 1 to x = 3. 16x2 Give the exact answer…

A: To Determine: find the exact arc length of the curve  Given: we have a function y=x6+816x2…

Q: Find the (linear) distance between two points on a circle of radius 4 if they are separated by an…

A:

Q: A 135 ft tower is located on the side of a mountain that is inclined 24° to the horizontal. A guy…

A: Consider the given:

Q: Find the arc length of the graph of y^2=4x^3, between points (0, 0) and (2, 4sqrt(2)).

A:

Q: Suppose that a cylindrical tank has height 10 m, the radius of the base is 7 m, and it is…

A: To calculate the amount of work done required to move the water out of the top of the cylindrical…

Q: The arc length of the portion of the curve y =ex with 3 <x<5 is

A:

Q: Construct two circles with radius Icm and 2cm respectively and centers 4cm apart, make two arcs with…

A: draw on paper 2 circles and their corresponding tangents according to the problem in the question.…

Q: A water tank has the shape of an inverted cone with base radius 2m and height 4m. If water is being…

A:

Q: Find the area of the sector of the disk of radius r = 13 and with arc length s = 15.

A:

Q: A 105-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy…

A: Given Data The angle of the side of the mountain is α=32°. The height of the tower is y=105 ft. The…

Q: Find the length of the arc of the curve y = In x over the interval: [1, 9| . Round the answer to…

A: This is a question related to derivative of the function. Based on the general formula we will find…

Q: candy company makes solid chocoalte cubes that have a side length of 2cm. The company wants to use…

A:

Q: 2. A 20 ft. ladder is placed against a wall that the foot of the ladder is 4 ft. from the base of…

A: Now, we have a 20 feet ladder.  It is placed against a wall and is 4 feet away from the base of the…

Q: Find the arc length of the curve y= 7x+4 On the interval 3

A:

Q: Find the arc length from (−3, 4) clockwise to (4, 3) along the circle x2+y2 = 25. Show that the…

A:

Q: A spherical tank of radius 4 ft is full of water when a cir- cular bottom hole with radius 1 in. is…

A: NOTE: 1. Area of hole a = π*r*r   2. The radius of hole, r = 1 inch = (1/12) ft

Q: Find the arc length of the cardioid r = 2 – 2sin©.

A: Given that: r=2-2sinθ Differentiating with respect to theta,…

Q: A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from he base…

A: First let's see what this paraboloid looks like in 2 dimensions. Light source at the focus located…

Q: Find the length of the arc of this curve and Sketch the curve y cu. = x sq.  from ( -1,1 ) and ( 8,4…

A:

Q: 5.A right circular cone of slant height 10 in. has a radius of 4 in. Find the angle of the sector of…

A: The given problem is to find the angle of sector whose area is equal to the lateral surface area of…

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: Find the arc length of y (x + 7)3 + (x + 7)-1 for 1 < x < 2. (Give your answer to three decimal…

A:

Q: A reversed curve is to connect two tangents which is parallel to each other and are 200m apart with…

A: According to question given that  V=200m, h=800m and Let R1=R2=R Now,…

Q: A 191 ft tower is located on the side of a mountain that is inclined 37 to the horizontal. A guy…

A: we have been given a figure of a tower standing at a height of  191 ft. which is inclined 37° to the…

Q: A 155 ft tower is located on the side of a mountain that is inclined 33 to the horizontal. A guy…

A: We have to find shortest length of wire needed.

Q: ind the length of arc of the curve 6xy = x⁴ + 3, from the point where x = 1 to the point where x =…

A: Here given equation as 6xy=x4+3ory=16x3+3x Differentiate with respect to x…

Q: Find the length of arc from (2,1) to (4,4) of the curve x = 2√y

A: Let us consider curve x=g(y). The arc length of graph of g(y) from point (a, f(a)) and b,f(b) Arc…

Q: find the entire length of one arc of the cycloid x=2A-2sinA, y= 2-2cosA.

A:

Q: A 129 ft tower is located on the side of a mountain that is inclined 19 to the horizontal. A guy…

A: Consider the diagram shown below.

Q: A truck has to pass under an overhead parabolic arc bridge which has a span of 20 meters and is 16…

A:

Q: A 125-ft tower is located on the side of a mountain that is inclined 32° with the horizontal. A wire…

A: Use the law of Cosine  a2=b2+c2-2bc cos A ...................(i)

Q: Find the length of the arc of the parabola y sq = x from  ( 0, 0 )  to ( 1,1)

A:

Q: Find the length of the arc on a circle of radius r = 9 yards intercepted by a central angle θ= 315°.…

A: Explanation: Given that,  radius = 9 yards central angle θ=315°   Formula Used: Arc length=2πrθ360

Q: A 10cm diameter disk emits light uniformly from its surface. 20 cm from this disk, along its axis,…

A: Here we will find the diameter of shadow,

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.