2x3 – 5x² + 3x -- 1. Find the equation of the slant asymptote of y : 72 – T - 2

Q: find the intercepts and the equations for the asymptotes. 25x2 - 9y2 = 4

A: Standard equation of hyperbola is :                       x2a2 + y2b2 = 1⇒25x2 - 9y2 = 4  x2252  -…

Q: Third-degree, with zeros of −4, −2, and 1, and a y-intercept of −11.

A:

Q: Graph and locate the foci: 9y2 - 4x2 = 36. What are the equations of the asymptotes?

A: Consider the provided equation, 9y2-4x2=36 Graph and locate the foci and what are equations of the…

Q: Find the asymptotes of the hyperbeia y+9 = 0 x² - y? + 2x +

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Q: Q4) Find the y-intercept, x-intercept(s) and the vertex point for the parabola y = x2 + 6x + 5 then…

A: Given: Parabola: y=x2+6x+5 To Find:  The y-intercept, x-intercepts and the vertex point for the…

Q: y2 1. What are the 36 Graph and locate the foci: equations of the asymptotes?

A: Given: x236-y29=1 We know that foci of given equation of hyperbola is given by foci≡±ae,0…

Q: Q2. Use Lagrange Multiplier to find the point on the circle: x² + y² = 45 that are closest farthest…

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Q: 4x2 4. Trace the curve y (x+5)(x-2)"

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Q: A parabolic arch has an equation of 7x + y- 260 0. Find the maximum height of the arch. units

A: The equation of parabolic arch is: 7x2+y-260=0

Q: A chord passing thru the focus of x2 = 8y has one end at the point (-8,8). Find the length of this…

A: Given that :- Equation of parabola is x2=8y   .....1 Suppose one end point of chord is P-8,8 and…

Q: A grass fire burns in an approximate circle. Firefighters, spraying the fire, can affect the area of…

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Q: The parabola f(x) = −2x² − 4 can be graphed = −x² downward by 4 by shifting the graph of y = units.…

A: graph

Q: y=3+2x– x² and | about the y-axis.

A: Given:

Q: find the intercepts and the equations for the asymptotes. y2 - 9x2 = 36

A: Given equation  y2 - 9x2 = 36

Q: Graph: x2 + 4y2 + 10x + 24y + 45 = 0. Where are the foci located?

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Q: Find the vertical and horizontal asymptotes, then Graph the equation 3x-2 a) I-3 22-2x+2 b) I-1

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Q: Graph it! 10 8 x y 9. = 1 16 9. Vertices: 2- -10 -8 -6 -4 -2 2. 4. 8 10 -2- Foci: -4 -6 -8…

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Q: At the memorial day fireworks celebration, a projectile is launched into the air and explodes at a…

A: Given data: The given equation of the trajectory of the parabola is y = - 4/9(x-15)^2 +100. The…

Q: A cannonball fired out to sea from a shore battery follows a parabolic trajectory given by the graph…

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Q: find the intercepts and the equations for the asymptotes.4x2 - 9y2 = 16

A: GIVEN 4X2-9Y2=16 We need to find the intercepts and the equation for the  asymptotes .

Q: Find the x intercepts of the parabola y=x^2-7

A: Given: y=x2-7                                              ..1 we know that at x-axis, y coordinate…

Q: Graph and locate the foci: y2 - 4x2 = 4. What are the equations of the asymptotes?

A: rewriting the equation we get the equation of a conjugate hyperbola -4x24+y24=1-x2+y24=1

Q: For the parabola y=-4(x+1)^2 - 3, the range is...?

A: For  y=ax2+bx+c  with vertex      (x1  y1)

Q: 4. A coastline is given by y2 = x+3 with the ocean being to the right of the curve. If a boat crew…

A: Solution

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

A:

Q: I need to find the Y intercept as an ordered pair, the domain, the range, and the equation of the…

A: By using the graph we find the y-intercept , domain and range.

Q: Find​ y-intercept of the graph.   5x=20−4y

A: Given- 5x=20-4y To Find- y- intercept of the above equation. Concept Used- To find y- intercept  ,…

Q: find the intercepts and the equations for the asymptotes. 16x2 - y2 = 25

A: Standard form of a hyperbola whose center is origin, x2a2-y2b2=1 And the equation of asymptotes are…

Q: True or False Every equation of the formx2 + y2 + ax + by + c = 0 has a circle as its graph.

A: The given statement is,  Every equation of the form x2+y2+ax+by+c=0 has a circle as its graph. To…

Q: Graph: 4x2 - 24x - 9y2 - 90y - 153 = 0. Where are the foci located? What are the equations of the…

A: Given equations is 4x2-24x-9y2-90y-153=0. Given equation can be written as:…

Q: Find the oblique asymptote for the following equation. Make your final answer clear. 10x2 + 19x + 16…

A: y=10x2+19x+162x+3 to find the oblique asymptote, we need to perform the long division (or we can use…

Q: Q3// Does the parabola y = 2x2 13x + 5 have a tangent whose slope is (-1)? %3D If so, find tangent…

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Q: To y=x²-12x + 20 Parabola Wite the intersection point of the tanpent lines drawn from (2,0) and…

A: Consider the given parabola and find the derivative of the parabola.…

Q: Sketch the graph of 4y2- 2x2 =1. Find the foci of the asymptotes. A 0,+ 3 B 3. 0, ± D 3

A: The standard equation of the  vertical Hyperbola is: y-k2b2-(x-h)2a2=1 Where the center is at (h,k)…

Q: The graph of y < 3x + 5 is the half-plane below the line y = 3x + 5

A: The graph of y &lt; 3x + 5 is the half-plane below the line y = 3x + 5

Q: Find the maximum point of the curve y= -2x+1 3 2 В. D.

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Q: y A -3 2 5

A: Vertical asymptotes are those lines which the curve never intersects but runs parallel to it upto ∞.

Q: Given x2 = 4py with p&gt; 0, the parabola opens (upward/downward/left/right).

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Q: Fnd the x uterceptis) and the coordinates of the vertex for the parabola y=x+10x+25. If there is…

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Q: The parabola y =- x2 + x + 1 opens a. upward b. downward c. to the right d. to the left

A: To find the correct option.

Q: Classify the equation x2+y2+4x-12=0 Find its center, asymptotes, and radius.

A: The equation of circle is x-h2+y-k2=r2. where h,k is the center and r is the radius.

Q: In the given equation 9x- 4y= 36. Find the foci and equations of the asymptotes.

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Q: Graph: 4x2 - 24x - 25y2 + 250y - 489 = 0. Where are the foci located? Whatare the equations of the…

A: Given equation, 4x2 - 24x - 25y2 + 250y - 489 = 0 we have to tell where are the foci located and…

Q: The shortest the the poin X+2y+2z=13

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Q: Determine F'(-3i) if 522 – 4z + 3 F(a) = | - vhere C is the ellipse 16x² + 9y² = 144.

A: The given ellipse can be written as: x232+y242=1 Thus the ellipse encloses y=-3.

Q: Third-degree, with zeros of −5, −3, and 1, and a y-intercept of −11.

A: This question is based on Functions and its roots.

Q: The graph of y = x2 on 0&lt;=0 x&lt;= 2 is revolved about the y-axis to form a tank that is then…

A: Work done will be :