#4 Create a labeled graph of your equation from question 3. Be sure to include the locations of Ini and Tanus Ellipses equation from question 3= (x−h)^2/a2+(y−k)^2/=1   (x+37.53√3)^2/(75)^2+y2/(37.5)^2=11

Q: tion 10 Given the ellipse = 1, 144 169 what is the maximum area of a rectangle inscribed insid Enter…

A: Solution of the problem as follows

Q: 1. Suppose that the equation Ax + Cy + Dx + Ey + F = 0 represents a conic section (nondegenerative…

A: Fill in the blanks

Q: Find the equation of the line tangent to the ellipse x + 3y 19 at the point (4,1). (Type an…

A:

Q: 11. Find an equation for a hyperbola with asymptotes y=±x and passes through (1, 2).

A:

Q: 1. Find the equation for the parabola that has its vertex at the origin and has directrix at y = 25…

A:

Q: Find the equation of the line tangent to the hyperbola x + 2xy - y + x = 5 at the point (3,7)

A: Given,            x2+2xy -y2+x =5 and point (3,7)

Q: 5. Determine the equation of a hyperbola having vertices ( 0,±4) and asymptotes y ±2x

A: Compairing with the given information we have

Q: d. Family of ellipses with center at (1, -2), major axis is horizontal, and whose eccentricity is…

A: Center of the ellipse at (1, -2)  The major axis is horizontal and eccentricity e =  0.6

Q: Find an equation of the hyperbola that has foci at (-15, 0) and (15, 0), and asymptotes y= x and y=

A:

Q: 19. What type of conic section is given by the equation 4x+ 9y = 36? What are its domain and range?…

A: General equation of an ellipse is given by, x2a2+y2b2=1 Domain of a function y=f(x) is the set of…

Q: 5 Find an equation of the hyperbola having foci at (-2, - 3-/29) and (-2, – 3+ /29) and asymptotes…

A:

Q: 27 4) and has directrix at Find the equation for the parabola that has its focus at the 11 equation…

A:

Q: 1 Find an equation of the hyperbola having foci at (3, – 3-/45) and (3, -3+/45) and asymptotes at y…

A:

Q: Form the differential equation representing the family of hyperbola having the center at the origin…

A:

Q: ne ellipse 52 1 can be drawn with 22 ritten in the form [t) = r cos(t) with r = nd y(t) =

A:

Q: Example 19,9. Show that the equation of the ellipse having foci at z, z, and major axis 2a, is |2…

A: To derive: equation of an ellipse having foci at z1,z2 with major axis 2a. z-z1+z-z2=2a. To find:…

Q: 9. Find the standard form of the equation of the parabola with a focus at (-3, 4) and directrix y =…

A: the vertex of the parabola will be at the midpoint of (-3,4) and y=2  That is Vertex= (h,k)=(-3,3)…

Q: 6. What is the eccentricity of the hyperbola whose equation is given by r = 2+3 cos 0 Enter your…

A:

Q: 3) A large racetrack can be modeled by the ellipse x2 + = 1, where x and y are measured in…

A: An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the…

Q: find the equation of the tangent line through the point (2,-2) to the hyperbola x2-y2=16.

A:

Q: Determine the equation (both standard and general) of the following conic sections based on the…

A: To find the equation of the conic sections with the given conditions

Q: Example 4: Obtain the differential equation of the family of ellipses whose axes coincide with…

A:

Q: 6. Find an equation of the ellipse with center at the origin, foci F(0, ±5) and major axis of length…

A: In this major axis is 2b and minor 2a Since foci is given about y axis So by using formula we solve

Q: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

A:

Q: 1 Find the equation for the parabola that has its vertex at the origin and has directrix at y 27…

A: Given: y=-127.

Q: Q1 Write down equation of the hyperbola whose focuses are at Fi(-1, –1) and F2(1,1) having the major…

A:

Q: 9. Identify the center and radius of a circle with equation (x-7) +(y+6) = 16. Ocenter at (7,-6);…

A: Given problems:-

Q: 7. Find an equation in standard form for the ellipse with center at (5,7), horizontal major axis of…

A:

Q: 1. Suppose that the equation Ar + Cy + Dx + Ey + F = 0 represents a conic section (nondegenerative…

A: Given: Ax2+Cy2+Dx+Ey+F=0.

Q: Find an equation of the hyperbola that has foci at (-2, 0) and (2, 0), and asymptotes y = x and…

A: The hyperbola has foci at -2,0 and 2,0 and asymptotes y=x and y=-x

Q: 3. Find an equation of the hyperbola having foci at (4, 3-V 52) and (4, 3 +/52) and asymptotes at y=…

A: Focii: (4, 3+52) & (4, 3-52)Assymptotes : y=3x2-3 , y=-3x2+9Let vertex by represented by (h,k)…

Q: Find an equation of the hyperbola that has fodi at (-15,0) and (15, 0), and asymptotes y=x and y =

A: here we have to find the equation of hyperbola that has foci  at (-15,0) and (15,0) asymptotes…

Q: A general equation of conic section is given as y + 4x + 4(x – 2y) + k =0. Determine the value/s of…

A:

Q: Find an equation of the hyperbola that has foci at (-10,0) and (10,0) , and asymptotes y=3x and…

A:

Q: Identify the type of conic section whose equation is given. 3x2 = y + 3

A:

Q: Find the Differential Equation of the Family of Ellipses with its center at the origin.

A: Here is the solution:

Q: 8.44.) In Ax² + Cy² + Dx + Ey +F = 0, show that if A and C have the same signs, then the graph of…

A:

Q: Find an equation of the tangent line to the hyperbola defined by (5x^2)+(4xy)−(2y^2)−4x=195 at the…

A:

Q: 21 Find the equation for the parabola that has its focus at the 2 and has 4 11 directrix at æ = 4…

A:

Q: Find an equation for the conic whose graph is shown: yA Directrix y = -12

A:

Q: Question 4 Find the points on the ellipse 4x² +y² =4_that are farthest away from the point (1,0).…

A:

Q: The ellipse x2 42 1 62 can be drawn with parametric equations. Assume the curve is traced clockwise…

A: Substitute x=4cost in x242+y262=1 to find y.…

Q: The center of a windmill is (0, 0) and it has 5 blades, each 1 meter in length. A point P is at the…

A: We will find relation between θ and position of point P . Then find values from graph

Q: (41, Ellipse:. x = h + a cos 0, y= k + b sin 8

A: Form ellipse

Q: The ellipse 82 =1 can be drawn with parametric equations where a(t) is written in the form 72 2(t) =…

A: Parametric equation of ellipse is  x = a cost  y = b Sint  In this question,  a = 8 , b = 7

Q: 7- A sinusoidal curve has a minim um point at (-t/3, 5) and the closest maximum point to the right…

A:

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex…

A:

Q: Suppose that two microphones 1500 m apart at points A and B detect the sound of a rifle shot. The…

A: Frist draw a diagram with given information as shown in below figure.

Q: 1 Find an equation of the hyperbola having foci at (5-/45, 0) and (5+/45, 0) and asymptotes at y = 5…

A:

Q: 1一 The equations of asymptotes of the hyperbola y=2+x-1 are Select one: None y= ±2x y= ±x y32+x

A: Giveny=2±x2-1