label some of the important points in R^3 and graph    (y^2)/4 + (z^2)/9 =

Q: Sketch the figure of the equation 4x^2-4xy+y^2-8x-y+6= 0

A: A function is a rule that fixes or associates a particular point . The function that can be…

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: The equation of the parabola culminating at P (1,4) and through (3,0) is f(x)= ax^2+bx+c, so the…

A:

Q: Calculate the x- and y-interсepts of the graph:   y=3-3x^3   A)x - intercept (0,1), y -…

A: Draw the graph: For X-intercept, put y=0: X-intercept is 1. The point of x-intercept is (1, 0).

Q: Sketch the graph of quadratic surfaces. Y=(x^2+3z^2)^(1/2)

A: We need to plot the surface: y=x2+3z2.

Q: The point to which the origin should be shifted in order to eliminate x and y terms in the equation…

A: When origin is shifted from (0, 0) to (h, k), the point P(x, y) changes to P'(x-h, y-k) .

Q: Given the equation 9x^2 + 199 + 100y = 108x-25y^2, it is verified that its center (h, k) and…

A: Given the equation 9x2+199+100y=108x-25y2

Q: Sketch x^2 -y +z^2 =1

A: Answer is mentioned below

Q: On a rectanglular coordinate system graph the equation and label the points on the graph…

A: Consider the given function, y=x3-1   Calculate the y-values of the graph at the given x-values.…

Q: Find the equation of the radical axis of the circles 3x^2 + 3y^2 -6x -30y +30=0 and 4x^2 + 4y^2 -32x…

A:

Q: Find the equation of the circle that passes through the intersections of the circles x^2 + y^2 -8x -…

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Q: (2x^2)– (y^2)-2xC+1=0  Find the orthogonal orbital family of the function

A: We have to find the orthogonal trajectory of the function given below: 2x2-y2-2Cx+1=0. Orthogonal…

Q: Show a rough sketch of the graph of x^2 + y^2 = z^4

A: Given,

Q: Graph y = 5e-xon [-4, 4] by [-1, 20] .

A: Consider the function y=5e-x to plot the graph on the window [-4, 4] by [-1, 20], the horizontal…

Q: Which graph corresponds to the equation y^2/49 - x^2/45 = 1

A:

Q: ^ 2. (a) Find the line that contains the point M(0, 2,-5) and intersects the lines x-1 y+1 2+4 = 5 x…

A: Solve using line concept

Q: The parabola is the graph of a quadratic polynomial p(x) = ax^2 + bx + c. A point (x0, y0) is a…

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: 3 2 1 -4 -3 -2 -1 1 2 3 -2 -3 4 3 2

A: The given function is y=2x.

Q: present y=x^(2)+6x-16 in vertex form o determine how many solutions

A:

Q: (-6x^(5))/(x^(2)-25) please explain step by step how to find the x and y intercepts as well as…

A: y=-6x5x2-25

Q: Let there be two parabolas y^2 = 4ax and y^2 = -4bx (where a not equal to  b and a, b > 0). Then…

A: Let us consider that the line parallel to the common axis be y=h.then the co ordinates of A and B…

Q: point P (x, y) moves such that it is always twice as far from (-5, -6) as it is from (2, -3). What…

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Q: The point (m,n) and (p,q) are on gra y=a^x. In term of n and q, determine coordinate of point…

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Q: sketch the graph of (x^2)-(y^2)-(z^2) = 1

A: Consider the equation