Defire a geometic object in 3-space for the following egkons and the descrs be inmerds iwhat the objects is for endh of Hhe equations. (1)x² i) xt + xy + Z=0 (ii) 2=y-1=Z-2

Q: 9. An important tool in archeological research is radiocarbon dating, developed by the American…

A: Given, Half life of carbon-14,t1/2=5730 years initial condition Q(0)=Q0

Q: Zero Gravity. As part of their

A: Given, Altitude of the flight: Starting and ending altitude is:

Q: 1- x*(x-1)2(x²+1)y"+ 4x3 y'- (x+1)y = 0 2- x3(x-1)y" + (x-1)y' -4xy =0 3- x2(x²-4)y" +2x³y' -3y =0…

A:

Q: A parabola is defined by the equation y=x2+2x+3. Write equations of the tangents to the parabola…

A: Given the equation of parabola:

Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: 25. Which equation represents the parabola below? 14 O y=4x² - 6x +17 Oy=x²-4x+5 OV-2X²-8X+9 y…

A: We know  Vertex form of parabola ⇒y=ax-h2+kHere vertexh,k

Q: The surface of a mountain is modeled by the equation h(x, y) = 7500 – 0.001x2 - 0.004y2. A mountain…

A: Given the surface of a mountain is modeled by the equation h(x,y)=7500−0.001x2−0.004y2

Q: Which equation represents the parabola graphed on the coordinate plane below? Ay-x-8²-6 А directrix…

A: Vertex form of parabola with vertex h,k⇒y=ax-h2+k

Q: 2- x3(x-1)y" + (x-1)y' -4xy =0 3- x2(x2-4)y" +2xy' -3y =0 4- x*y" + y =0

A:

Q: Which of the following properties satisfy the parabola with equation x² + 6x + 8y = 7 O v(3,2);…

A:

Q: Let P(-5, -3, -7) and Q(7, 11, 1) be two points in three dimensional space. Write an equation of the…

A:

Q: Eliminate the parameter (NO SPACES). - x = 2t - 3 and y = 9 – 4t y =

A: given→⇒x=2t-3............(1)⇒y=9-4t.............(2)

Q: Q2: A particle move on the path has parabola shape with equationf (x) = a + bx + cx²; Find the…

A:

Q: The focus of the parabola defined by the equation x2 = 20 y is (4, 5) (0, 0) O Option 1 O Option 2…

A:

Q: the of coplex nurburt Deseribe and give 13 set %3D 2+14

A:

Q: Express the general form to its standard form and locate the center, vertices, covertices and foci…

A: equation 4x2 - y2 - 32x - 4y + 24 = 0

Q: 2. Which of the equations below also represents the parabola y=-3x² 18x + 16? Oy=3(x+3)² +65…

A:

Q: Write equation 16x2 - 24xy + 9y2 - 60x - 80y + 100 = 0 as a quadratic equation in y and then use the…

A: We need to use a graphing utility to graph the following exercise Given quadratic equation…

Q: Find a or k so that the points (-5,-8) and (1,-25) lie on the parabola y=a(x+3)²+k

A:

Q: 3x2 + 3y2-9x+12y+4=0 identify the standard form, radius and center;

A: here we have to change the equation into standard form and find raadius and center of circle.