25. What are the coordinates of the vertex of the parabola given the function f(x) = x2 + 8x-3 %D

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

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Q: What point on the parabola y=3−x2 is closest to the point ​(3​,3​)?

A: Basic differentiation is required.

Q: Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope −12 at x = −1, and…

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Q: dr if F= and C is a piece of the parabola y=4-x² from the point (–1,3) to the point (2,0).

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Q: Find the point on the parabola x= - 2t, y = - 2t, - o <t< oo, closest to the point (- 32, – 1).

A: Let the point (x, y)=(-2t, -2t2) on the parabola be the closest point to (-32, -1) So distance…

Q: 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two…

A: 7) y=ax2+10x+1 ...................eq (1) For parabola to cross the x- axis put y=0 0=ax2+10x+1…

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

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

A: Draw the parabola y=7-x^2.

Q: Find the point on the graph of y = 2x that is closest to the point (3, 1). Use distancefrom and…

A: Let the point on the graph of y = 2x be (a,2a). Now, Using the Distance formula between two points…

Q: Suppose that |(3x4-x2) dx=Ax+Bx³+C, for constants A, B, C. What is the value of C if the curve…

A:

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-…

A: Solving two equations

Q: Find the point on the parabola x = t, y = t2, -infinity&lt;=t &lt;=infinity, closest to the point…

A: Consider the required point as (x,y)Consider the formula of distance between the two points.

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

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Q: 2. What is the value of y anytime a parabola intersects the x-axis?

A: It is known that the value of y on x-axis is always 0.

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

A: Topic = Application of Derivative

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=9−x2…

A:

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

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Q: 1. Is it possible for the graphs of two different quadratic functions to each have x= -3 as its line…

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Q: Identify the x-intercept(s) of this parabola. 10 8- 6- 4- -6 -2 2. 6 -4 O (3. 0)

A: x-intercept is the point where the graph crosses the x-axis.

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: What is the maximum area of a rectangle that is above the X- axis and below the graph of the…

A:

Q: Find the point on the parabola y = (x – 3)² – 5 that is closest to the point (0,0). |

A:

Q: 2. What is the vertex of the parabola y = (x + 6) - 9?

A: the general equation of the parabola = (x-a)^2 = 4 c (y-b)  where a and b are the vertices of the…

Q: Determine the equation of the parabola graphed below. 5 4 3 2 1 0 1 2 3 4 5 6 7

A:

Q: Q#4: (i) What is the projected level of revenue in 3 years for a company with current revenues of…

A: (i).       The present value is the value of the sum received at time 0 or the current period.  It…

Q: The region in the first quadrant bounded above by the parabola y = x², below by the x-axis and the…

A: Aa per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: Q,9. What point on the parabola y = v2x + 5 comes closest to the ori

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

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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: 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: 8. Find the function that will generate the points on a parabola that opens down, has a base of 4…

A: A parabola has base 4 and height 6

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. 2(x -…

A:

Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: We have to find the coordinates of the vertex for the parabola defined by the quadratic function…

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

A:

Q: find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x) =…

A: The equation for a parabola is written in vertex form as, In vertex form the vertex is given as…

Q: 4. Find the attributes for the quadratic function. Graph the parabola on the given grid. y =, (x +…

A: Given: The quadratic equation y=19 x+32-3 To determine: Attributes for the given quadratic equation…

Q: Find the point on the parabola y=x2 closest to (6,3

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Q: What point on the parabola y = 6 – x is closest to the point (6,6)?

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Q: Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)…

A: The quadratic function is given by fx = 2x-32+1 To evaluate : The vertex of the parabola defined by…

Q: 3. Find the dimensions and area of the largest rectangle having its two lower corners on the x- axis…

A: The given problem is solved below in detail.

Q: Find the coordinates of the vertex for the parabola defined by the quadratic function f (x) = 3(x…

A: Given function is  fx=3x+52−4

Q: 2. Suppose that the graph of y = ax²+bx+c is a parabola which vertex is V (-3, 7), what is the…

A:

Q: How many common points does the parabola y=x2-2x-2 have with the straight line a) y=2x-6; b) x-2y=4?

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: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…

A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…

Q: maximum point of y X – 2

A: Given equation: y2=x2x-2

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

A:

Q: 10. At what point on the parabola y = 3 x 2 + 2xisthetangentlineparallel totheline y = 10x -2? Use…

A: Given query is to find the point where tangent line to the parabola is parallel to the given line.

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.