Find the domain of the function f(x) = %3D x2-4x -21

Q: If the profit function is  p(x)=-0.5(x-90)^2-50x+3850 what is the profit when producing 40 items?…

A: Consider the given function px=-0.5x-902-50x+3850

Q: Graph: f(x) = (4x - 4)/(x - 2)

A:

Q: f(x) = V2x + 6

A: Given function is, f(x) = 2x+63=(2x+6)13 Tangent line of the function at x = 1 is given by,…

Q: Graph: f(x) = 3x.

A:

Q: Find the profit function in terms of x p=250-x/50 C(x)=20,000+40x

A:

Q: The range of y = 4 – x2 is

A: From the given problem:   y=4-x2   As we know that the parabola  ax2+bx+c with vertex xv,yv then:…

Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C). R(x)= 80x- 3x2 1sxs20…

A: Given Rx Revenue function = 80x-3x2 →1Cx Cost function = 130+16x →2

Q: Estimate the extreme values of the function. y(x) = x - 7x + 40x +7

A: Given y(x)= (1/3)x3-7x2+40x+7=>y'(x) =(1/3)3*x3-1-7*2x2-1+40*1+0=>y'(x) =x2-14x+40 for extreme…

Q: f (x) = Vx² – 4.

A:

Q: Find the range of

A: We have given function y=2+x2x2+4 We have to find the range of function. x2x2+4≥0 for all values of…

Q: Solve for g'(x).

A: Theorem used:

Q: (a) y = f(x) = (-2x+ 2)*

A: we have to find

Q: Find the number of units x that produces a maximum revenue R. R = 51x2 – 0.02x³ X = units

A:

Q: find the table of values of this equation  f (x) 2x + 1/x-3

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Q: Graph the function. 3x f(x) = (x- 4)(x+ 4)

A:

Q: Complete the table (x) $'(x) f'(x) = 12 e3x f(x)

A: Here, to complete the given table.

Q: g(f(x)) = 18x² + 36x + 18

A:

Q: Find the domain and range of the function. f(x) = 7x² + 5

A:

Q: y = 3Vx – Vx² – 4

A: y = 3x-x2-4we have to find Domain and Range of functionfor Domaindomain of x,  x≥0x2-4 , x2-4≥0…

Q: cscx 4. f(x) : x2

A:

Q: Graph the function. 3x 40) f(x) = (x + 5)(x - 3)

A: For the given graph  find vertical asymptotes , horizontal asymptotes and intercepts  and graph it.

Q: F(x)=8+2x

A: Given information: F(x)=8+2x

Q: Enter the solution to the equation f(x)-g (x) = 0

A: Here we find solutions for f(x)-g(x) = 0

Q: B) find the Domain and Range f(x) = Vx – 3x²

A:

Q: Sx-5 GX+7 x422

A: Given,            A triangle is shown below :

Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given:        π∫-228-x2-2+x2dx     =π∫-2264+x2-16x-4+x4+4x2dx     =π∫-2264+x2-16x-4+x4+4x2dx…

Q: Find the x intercepts of f(x)=4sec(x)+8

A: Given function f(x) = 4Sec(x)+8.X intercepts of any function are the points where the graph touches…

Q: Graph the function. ​f(x)=−5x

A: The given function is f(x)=-5x

Q: Use the revenue and cost functions below, to answer parts (A), (B), and (C). R(x) = 75x - 3x² 1≤x≤20…

A:

Q: Graph the function. (x+2)(x-4) f(x) = X- 36

A: We have to solve

Q: graph f(x)=x^2+8x+15

A: Given:

Q: Graph: f(x) = 2x/3 - 2.

A: The given function is , fx=2x3-2 Let us denote the function fx as y, Now locate the points to draw…

Q: Graph: f(x) =(5x + 1)/(x - 1).

A: To graph: fx=5x+1x-1

Q: Graph: f(x) = 3x

A: Concept;   The calculus helps in understanding the changes between values that are related by a…

Q: Graph the Function f(x)=0.5x^2-2x-2

A: Given function : f(x) = 0.5x2 -2x -2

Q: Show that an increase in the number of variables k never decreases the R2.

A: An increase in the number of k never decrease the coefficient of regression

Q: f(x) =x+ – 2x³ –6x² + 22x – 15 |

A:

Q: Graph the function f (x)= 2x- 7.

A:

Q: Find the x-intercept of the function 1x-2 g(x)=27 | 3.

A:

Q: A company's profit when it sells x thousand items is predicted to be…

A:

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: Graph: f(x) = x4 - 2x2 + 1.

A: Given :          fx=x4-2x2+1

Q: Find the relative extrema of f(x) = −3x5 + 5x3

A: Given function is fx=-3x5+5x3

Q: Use the revenue and cost functions below, to answer parts (A), (B). and (C). R(x) = 75x - 3x2 1sxs20…

A: Given:Revenue functiom=Rx=75x-3x2        , 1≤x≤20Cost function=Cx=125+15x                 , 1≤x≤20To…

Q: Graph the functions on the same coordinate plane f(x)=x2+2x-8 g(x)=-x2+4 Find the solutions

A: Given functions are

Q: f (x) = 2x2 – x + 6 -

A:

Q: The slope of the graph of the function y = 2x at (32,8) is %3D Tuno n mplifGed fraction

A:

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.