(a) Here's a Calculus 1 optimization problem you probably solved before. Show that the shortest distance from the origin to the line bx +ay = ab (where a and b are positive constants) is dmin= ab √a² + b²²

Q: Find 2 parabolas that shares the same vertex and focus with the ellipse 9x² + 25y² = 225

A:

Q: shares

A:

Q: There is a parabola which has a minimum where the two lines 3x+6y-1=0 and 2x+ y-2=0 intersect. The…

A:

Q: write the equation of the ellipse 9x2+36y2+90x+216y+225= 0 in standard form, please show all written…

A: Standard equation of ellipse is x-x02a2+y-y02b2=1    when major axis on the horizontal axis

Q: Find lengths of minor and major axis for ellipse that has equation 16x2 + 4y2 = 16

A: Given, 16x2 + 4y2 = 16

Q: use the method of completeing the sqaure to find the vertex of the parabola whose equation is…

A:

Q: Solve the problem. A homeowner wants to make an elliptical rug from a 30-foot by 10-foot rectangular…

A: To solve this problem, we can use the fact that an ellipse can be defined by its semi-major axis…

Q: Locate the vertex, focus, directrix and axis of symmetry of the parabola y^2-5x+12y=-16.

A:

Q: Write an equation of the ellipse in standard form ((x-h)/a)^2 + ((y-k)/b)^2 =1

A: Standard form of ellipse isx-h2a2+y-k2b2=1

Q: Graph the Ellipse and label the intercepts y = 5(x+3)²-3

A:

Q: The length of the latus rectum of the ellipse defined by 25x? + 9y? - 300x - 144 y + 1251 -0 3.0 3.2…

A:

Q: Give an equation: (x+2)^2/(36)+ (y-4)^2/(25)=1. Please show me step-by-step solution, how to find…

A:

Q: Find the equation of an ellipse whose foci belong to the x-axis and passes through the points (4,3)…

A:

Q: Find the area and perimeter of an ellipse with major axis = 6 and minor axis = 4.

A: Topic = Ellipse

Q: Determine the equation of the ellipse with foci (1, 4) and (-5, 4), and co-vertices (-2,8) and…

A: