(C) f(r, y) = 4x2 – 5y2: maximum value = minimum value =

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: y=8x-x³ 12) Where is the function concave down?

A:

Q: find the extrema (minimum and maximum) of f(x) = x2-1 on (-1,2). If none, explain why.

A:

Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

A:

Q: Find the maximal value of the function f(x,y)=2x3-y3 on the circle of equation x2+y2=7.

A: We have to find the maximal value of the function  on the circle of equation

Q: Which point on the curve y = √x - 4+9 is closest to the point (7, 9)? (x, y) = ( What is this…

A:

Q: A pharmaceutical company is developing a new antibiotic. The cost in thousands of dollars to develop…

A: Th cost function is  Cx, y=2200+27x3-72xy+8y2   p=dCdx=ddx2200+27x3-72xy+8y2=81x2-72y…

Q: Find the maximum value of f(x,y) = 31-x² - y² on the line x + 5y = 26.

A:

Q: Estimate L4 and R4 and over [0,7] for the function f(x) = 7x2

A: We have to estimate L4 and R4 in the interval 0,7 for the function: fx=7x2 L4 and R4 denote the left…

Q: )

A:

Q: Find the maximum value of z = xy² subject to 2x2 + y² = 864; x ≥ 0, y ≥ 0.

A: z=xy22x2+y2=864y2=864-2x2x≥0y≥0

Q: Sketch the graph of the function and compare it to the contour map. (If an answer does not exist,…

A:

Q: A rectangular plate with an area of 36 cm? is to be produced on a lathe in such a way that the…

A:

Q: The productivity of a manufacturing company is given approximately by the function f(x,y) = 20x y0.5…

A:

Q: Find the maximum value of f(x,y) = 13 – x -y on the line x+ 2y = 5.

A:

Q: Find a linear function that approximate f(x) : 27. = x 3 near x =

A: To Determine: find a linear function that approximate f(x). Given: we have function fx=x23 near…

Q: y=x2x(x>0,x≠1)

A: Dear student, Since what is to find is not mentioned in the question and you have posted the…

Q: Find the maximum value of f(x,y) = 84 -x² - y² on the line x + 9y = 82. The maximum value of f(x,y)…

A: We have to find the maximum value of f(x,y)=84-x2-y2 on the line x+9y=82 h(x,y) can be determined…

Q: Calculate fxyy for f(x,y) = x 3 + y2ex.

A: Given function is fx,y=x3+y2ex. To calculate: fxyy. Solution: fxyy means first partial derivative of…

Q: A missile is launched with a constant thrust corresponding to an acceleration of "a" ft/sec². The…

A: Given: The height of the missile after time "t" seconds is ft,a=12a-40t2, where a ft/sec2 is the…

Q: Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2"-5 + 3,…

A: Given that, the functions are fx=2x-5+3, gx=2x-5 and hx=8x+10.

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.