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 3.2516 3.2282 3.1807 3.1266 3.0594 2.9759

Q: 14. Which equation represents the given parabola? O y = -4(x – 4)² + 5 O y = }(x – 4)² + 5 O y =…

A: First option is correct.

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

A: Given: The farmer and his wife decide to build a fence on their farm in the shapes of the parabolas…

Q: Using the concept of Equation of parabola, compute, convert and graph the given problems. 1, 2, 3

A: The answer is below.

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: Let P and Q be distinct points on the parabola y = 2r such that a circle with PQ as diameter passes…

A: The given equation of parabola y2=2x Let P and Q be points on the parabola  Parametric coordinates…

Q: 3) Fit a parabola to the data. X 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: Given : x y 0 3.195 0.1 3.2299 0.2 3.2532 0.3 3.2611 0.4 3.2516 0.5 3.2282 0.6…

Q: Compute the length of the latus rectum of the parabola y2 + 8x – 6y + 25 = 0.

A:

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: Please

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

Q: (a) Fit a quadratic parabola to the following series of observations taking the years as independent…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

Q: Find the minimum distance from the point (2, 4, 10) to the paraboloid given by the equation z = x +…

A:

Q: 3) Fit a parabola to the data. X 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 a parabola is y=a+bx+cx2. The method of least square can be used to obtain the best…

Q: Fit a second degree parabola to the following data : 1.0 1.5 2.0 2.5 3.0 3.5 4.0 y 1.1 1.3 1.6 2.0…

A: The equation is y=a+bx+cx2 ∑y=na+b∑x+c∑x2 ∑xy=a∑x+b∑x2+c∑x3 ∑x2y=a∑x2+b∑x3+c∑x4   make a table as…

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: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 6) are O Vertex = (-5, –6);…

A:

Q: 8: Which one of the following conics is a parabola? 22 + y + 5 = 4æ B 222 + y? = 4x +4 4r – 9y? +…

A:

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: Find the shortest distance from the point (1,4) to a point on the parabola y =2 x (a) /2 (b) 1 (c) 2…

A: To determine the shortest distance between point and the parabola,

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

A:

Q: 3. Find the best parabola to fit the data points: (-1,1), (1, –1), (2,0), (3,0).

A:

Q: Given the graph below, what is its diameter? А. 1 В.3 C.2 D.4 v2 e1 e4 e2 v4 v3 e3

A:

Q: Find the best parabola to fit the data points: (-1,1), (1, –1), (2,0), (3,0).

A: The given points are (-1,1),(1,-1),(2,0),(3,0).

Q: Write the equations for the cubic splines method for the following dataset and derive the necessary…

A: Consider the equation as shown below: Here, the dataset And the object is to find the equation of…

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

A:

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

A:

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: 2. Determine the normal line to the ellipse 100x² + 4y? = 100 through the point where y = ".

A: Solution: Consider the given equation of the ellipse is  100x2 + 4y2 = 100  ....(1) Put the given…

Q: 1. Fit a (a) straight line (b) parabola to the given data points: X 1 3 4 6 7 8. y 1 1.5 2 3 4 5 8.…

A: (a) straight line

Q: Fit a second degree parabola in the following data: 1.0 4.0 2.0 3.0 17.0 0.0 4.0 1.0 10.0 30.0

A: The second degree parabola is defined by the equation, y=a+bx+cx2 .

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

A:

Q: The filament lightbulb is a thin wire that glows when electricity passes through it. The filament of…

A: Given: The given reflector is 7 inches wide and 2 inches deep i.e. (x,y)=(2,3.5)

Q: Determine the coordinates of points A and B on a parabola y AB is as close as possible to the…

A: Please refer the attached image for complete solution.

Q: 3) Fit a parabola to the data. X 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 parabola : y=a+bx+cx2 . And, normal equations are : ∑y=an+b∑x+c∑x2 ∑xy=a∑x+b∑x2+c∑x3…

Q: Ft a second degree parabola to the following data. 1 2 3 4 5 6 7. 2 7 8 10 11 10 a) y--0.2673x +…

A: we have to fit a second degree parabola i.e y=a+bx+cx2 to the given data. Then the set of normal…

Q: Find the minimum distance from the point (4, 2) to the parabola y2 = 8x. A 4/3 B) 2/7 © V3 D 2/3

A:

Q: Examine the two graphs below to consider the ways a line could intersect the parabola. ty 8. ty 8 4…

A: We have to check weather the given graph will intersect or not.

Q: Find the equation for the file patte + Size 1 include: SP 4 2 a table Size 2 Size 3 6 d graph 4) the…

A:

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: 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: Example 2. Fit a parabola of second degree to the following data: 4 8. 10 Y 3.07 12.85 31.47 57.38…

A: The normal equations are

Q: Example 1. Fit a second degree parabola to the following data: 1 2 4 y 1 1.8 1.3 2.5 6.3

A:

Q: If P(a, a²) is any point on the parabola y = x², except for the origin, let Q be the point where the…

A: To Determine: If P(a,a2)is any point on the parabola y=x2,except for the origin,let Q be the point…