draw the ellipse when the distance of its focus from its directrix is equal to 60mm and eccentricity is 3/5. also draw the tangent and a normal to the ellipse at a point 100 mm away from the directrix.

Q: ...***... .. . .. The area of an ellipse with axes of length 2a and 2b is nab. The percent change in…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 4. The upper half of the ellipse centered at the origin with axes of length 2a and 2b is described…

A:

Q: A sealed-beam headlight is in the shape of a paraboloid of revolution (parabolic shaped). The bulb,…

A:

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A:

Q: Draw the ellipse 5(x − 1) 2 + 4(y − 1) 2 = 25, labeling all important information.

A:

Q: 2 ydx to compute the arca of the ellipse ()* + )= = 1. 16. Use

A: Given an ellipse with the equation We need to find the area of the ellipse using

Q: Identify the family of curves of an ellipse if the foci are located on the y-axis and centre of the…

A: Equation of an ellipse with foci on y axis and center at origin is given by  x2b2+y2a2=1…

Q: Determine the standard equation of the ellipse using the stated information.   Center at ​(1​,2​);…

A: equation for an ellipse is given by (x/a)^2 + (y/b)^2 = 1 a is the distance from the center of the…

Q: Find the equation of the conic section indicated. Parabola with focus (8, 0), directrix x = −8

A:

Q: Determine the eccentricity of a hyperbola with a vertical transverse axis of length 48 units and…

A:

Q: Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…

A:

Q: Charles and Bernice (“Ray”) Eames were American designers who made major contributions to modern…

A: coffee table 90 in. long and 30 in with center at (0,0)So, 2a=90 and 2b=30a=45, b=15

Q: Find the locus of the foot of the perpendicular from the center of the ellipse x²/a²+y²/b² = 1 on…

A: Let end points of chord be P(acosθ,bsinθ) and Q(acosθ-π2,bsinθ-π2)that is P(acosθ,bsinθ) and…

Q: A railroad tunnel is shaped like a semiellipse, as shown below. The height of the tunnel at the…

A: Solve for equation

Q: Find an equation for the ellipse with Center at: (0, 0) Foci at: (+5, 0) Vertices at: (±6, 0)

A: 6. The ellipse have center at 0,0 , foci ±5,0 and vertices ±6,0  Note: Multiple questions are given,…

Q: Show that e² for a standard ellipse of eccentricity e. a

A: Consider the general ellipse: Horizontal:x−h2a2+y−k2b2=1a>bVertical:x−h2b2+y−k2a2=1a>b

Q: Show that the horizontal traces of the ellipsoid are ellipses of the same eccentricity (apart from…

A: To show Horizontal traces of the ellipsoid x2a2+y2b2+z2c2=1are ellipses of  same eccentricity

Q: 2. Find the standard equation of the ellipse which satisfies the given conditions. a. Center (2,1),…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: Find the equation of parabola with rertex at (0,0 and focus at (3

A: Given the vertex is at(0,0) and focus (3, 0)

Q: Discuss the relationship between the eccentricity e of an ellipse and the distance z between the…

A: Consider the equation of an ellipse r= Where e is the eccentricity and 0<e<1.

Q: Give some typical parametrizations for lines, circles, parabolas, ellipses, and hyperbolas. How…

A: The equation of the line is in the form of ax+by=c. The parametric equation for the lines are as,…

Q: Find an equation of the ellipse having the given foci and sum of focal radii. Foci: (6,0), (6,6)…

A: on solving this we get the

Q: Find the equation of one of the tangents to the ellipse 2x² + 4y² = 48 with slope of mt = 1.

A: The given equation of the ellipse is, 2x2+4y2=48 To find the slope of the tangent to the ellipse, we…

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. -Major axis…

A:

Q: The equation x 2 −xy +y 2 = 3 represents a rotated ellipse, that is, an ellipse wholes axes are not…

A: The given equation is: x2-xy+y2=3 Now the ellipse will cross the x-axis, when y become zero. Thus,…

Q: .... .. ......... ....*.*. ..* * ..... The area of an ellipse with axes of length 2a and 2b is nab.…

A: As per our guidelines , we can only solve first question. Please resubmit other questions as next…

Q: A satellite is to be put into an elliptical orbit around a moon. The moon is a sphere with radius of…

A: The correct option is B . See the explanation in the attachment below...

Q: Find the point (x, y) on the ellipse, 4(x - 1)^2+ y^2 = 1, that is farthest to the origin (0, 0).

A:

Q: One of St. Matthew's Hall is 10 feet wide and has a semi-ellipse ceiling. The ceiling is 6 feet high…

A: Given: Hall is 10 feet wide and has a semi-ellipse ceiling. The ceiling is 6 feet high at the sides…

Q: Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…

A: Draw the Ellipse and write major axis and minor axis then use formula to find out the foci.

Q: The parabola y = x² is shifted up by 4 unit %3D What is the equation of the new parabola?

A: Parabola:y=x2  shifted up by 4 units

Q: Find an equation for the ellipse that satisfies the given conditions. Foci: (0, +5), Vvertices: (0,…

A:

Q: Find parametric equations for an object moving clockwise along the ellipse (x2/25)+(y29)=1 beginning…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics. y 1아 (7,8) 8…

A:

Q: Find parametric equations for an object moving clockwise along the ellipse 25 =1 beginning at (0,4)…

A: For the solution follow the next step.

Q: Find an +y² equation for the tangent to the ellipse 4 = 2 at the point (2,0).

A: Consider the ellipse, x24+y2=2

Q: Find parametric equations for an object moving clockwise along the ellipse 25 = 1 beginning at (0,2)…

A: Given: x225+y24=1   By comapring given equation with general form (x-h)2a2+(y-k)2b2=1h=0 and k=0…

Q: Choose one: An ellipse with eccentricity close to 1 will appear  a. more elongated. b. more…

A: An ellipse with eccentricity close to 1 will appear to be more elongated, because if eccentricity is…

Q: The orbit of Halley's Comet is an ellipse whose major axis is 3.34 × 10 ^ 9 miles long, and whose…

A:

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: Given data:     The given opening of the dish is: b=32 feet. The given depth of the dish is: d=4…

Q: 7. If the latus rectum of an ellipse with axis along x-axis and centre at origin is 10, distance…

A:

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at…

A: Given: Foci of an ellipse: (±5, 0) Major axis of length 18. Center of an ellipse is at origin.

Q: Find the equation of the ellipse with foci at F;(0,1), F2(0,8), and has major axis of length 12.…

A:

Q: Find an equation for the ellipse of eccentricity 2 /3 that has the line x = 2 as a directrix and the…

A: To determine the equation of the ellipse.

Q: Determine the eccentricity of a hyperbola with a horizontal transverse axis of length 24 units and…

A:

Q: A satellite dish is shaped like a paraboloid, with the receiver placed at the focus. It is to have a…

A: The base of the dish is the vertex of the parabola. The parabola is upward oriented. Let the vertex…

Q: What is the standard equation of an ellipse with center( major axis of length 20 and minor axis of…

A:

Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis…

A: Given- An ellipse has following parameter, major axis horizontal with length 12, length of minor…

Q: Find the equation of ellipse referred to its major and minor axes as the coordinate axes x, y…

A: