Find the area of the s and the parabola

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: Find the vertex of the parabola Y= 6X^2.+24X + 18 O (6, 2) O (2, 6) O (2,-6) O (2, 6)

A: We have to find

Q: Find an equation of the parabola whose graph is shown. shaded focus region has area 8

A: as we can see that the shaded portion is in the form of a rectangle.  the latus rectum passes…

Q: Show that the center of the osculating circle for the parabola y = x2 at the point (a, a2) is…

A: We need to show that the centre of the osculating circle for the parabola y = x2 at the point (a,…

Q: Please

A: Now differentiate it with respect to y and equate it to 0.

Q: Find the largest area possible for a rectangle inscribed between the parabola y = 9 – x² and the x-…

A:

Q: Find the largest area (sq. units) of the rectangle whose base is on the x-axis and its other two…

A: NOTE: Refresh your page if you can't see any equations. . width of the rectangle is  and the length…

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

A:

Q: Among all triangles in the first quadrant formed by the x-axis, the y-axis, and tangent lines to the…

A: For the triangle to be in the first quadrant "a" must be after the vertex to x=3 Vertex is at  So…

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: 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: A second-degree ee equation represents a parabola. The general equation of a parabola is y =…

Q: and

A:

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

A:

Q: .כ Find the ared of a parabola which is inscribed in a rectangle 40 cm long and 25 cm wide.

A: We know are of parabola is( 2/3) ×b×h Where b is base of parabola and h is height of parabola.

Q: Plot the given parabola on the axes. Plot the roots, the vertex and two other points.

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Q: J (1,4) M(-1, 2) К(3,2) L (1, – 3)

A:

Q: Find the point on the hyperbola xy = 8 that is closest to the point (3,0)

A: Given: xy=8 so, y=8x now any point of given hyperbola can be written as x,8x so, let's that point on…

Q: Find the vertex of the given parabola. Give all values correct to 3 decimal places. y = 7x2 - 8x +…

A: A detailed solution is given below

Q: 11) 8 myn

A: The area of the equilateral triangle is, A=34a2

Q: In circle R with MZQRS = 66 and QR = 3 units find area of sector QRS. Round to the nearest…

A: The area of the sector having angle θ at the centre of a circle is given by the formula Area =…

Q: Find a point on the parabola y - x* + 9 which is closest to the origin.

A:

Q: find the points on the parabola y=x^2 closest to the point (0,1)

A:

Q: . Find the point on the parabola y = x² closest to (6,3). newor: The noint is (24)

A: Given curve is y=x2

Q: Find the length of the latus rectum of the parabola with equation x² – 4x – 16y +116 = 0. latus…

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Q: Find the area of the parabala : z-2x*+ 2,² that lies between the levels z=¢ and z=2. To do this,…

A: Given the equation of the parabola z=2x2+2y2 that lies between the levels z=12 and z=2

Q: E. Find the area of a square with a radius of 10x.

A: Follow the procedure given below.

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

A: Let (x,y) = (x,x2) point on the parabola is closest to A Distance between (2 , 1/2) and (x,x2) is:…

Q: Given the point P =,(a,b) in the first quadrant, find the downward-opening parabola that passes…

A:

Q: if the point (a, b) is on the parabola y=6x^2-(5785/12) that is closest to the point (0,4) than a ?

A: Given, y=6x2-578512 suppose x,y any point closest to 0,4  D=x-02+y-42 put y in equation,…

Q: Find the area of the trapezoid in which the sum of its two bases is 0.14m and its altitude is 0.07m.

A: Using area of trapezoid formula.

Q: Find the directrix of the parabola described by the equation 6 (x – 3) + (y + 2)? = 0 O x = } O x =…

A: The  parabola with vertex at (h,k) and focus at (h-a,k) has a standard equation, (y-k)2=-4a(x-h) The…

Q: In circle X, mZYXZ = 135° and the area of the shaded sector =T. Find the length of XY.

A:

Q: ind the dimensions of the rectangle of largest area that can be inscribed in a circle of radius

A: We will create a rectangle inside the circle and find the length and breadth

Q: Find the area of the figure. Corners that look square are square. Dimensions are in as its base

A: VOLUME OF A UNIFORM SOLID IS MUTIPLICATION OF BASE AREA INTO HEIGHT OF THE UNIFORM SOLID.

Q: of the parabola. (to 3 places If he +

A: We have to find the following given conditions

Q: Find the point(s) on the parabola x =y closest to the point (0,3)

A:

Q: 21. A parabola has a span of 30 m and a height of 20 m. Determine its area.

A: We know that if b is the span of parabola and h is its height then area of parabola =23bh We are…

Q: A rectangle has its base on the x-axis and its upper two vertices on the parabola y=6-x² What is the…

A:

Q: Find the point on the parabola y 2 =2x that is closest to the  point ( 1, 4)

A: Given: y2=2x let's point on parabola is t22,t now, if point1,4 is closest to t22,t2 then product of…

Q: Find the area of the sector associated with a single slice of pizza if the entire pizza has a…

A: Given: Create a problem for arc length degree measures between 15 degrees and 345 degrees. To find…

Q: Calculate the length of the astroid of a + ys = 3.

A:

Q: Find the length of the latus rectum of the parabola x2 = 4py. Then find the length of the parabolic…

A: Given , Equation of parabola  x2 = 4py     Comparing with the Standard Equation of Parabola  x2=4ay…

Q: Find the area of the enclosed by the parabola y=x2-8x+15 and the x-axis .

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Q: Find the vertex and roots of the following parabolas y=x2+16x+71 y=x2+4x

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Q: The area of the region to the left of the parabola x=2y^2, to the right of the y-axis, and between…

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

A:

Q: Find the shortest distance of the point (10,4) to the parabola y=x2

A: Consider a  point on parabola  y=x2. Distance of this point with (10,4) s2=(x-10)2+(y-4)2…

Q: Find the shortest distance of the point (6,3) to the parabola y=x2

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Q: Find a formula for the area of the ellipse a2 y? =1 (where a,b>0). 62 Show and explain ALL your work…

A: lets the area A = 4∫0aydx lets write x = asin(t)   y = bsin(t) dx = acos(t)dt limit is o to π/2 A =…

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.