An ellipse has parametric equations x = 4 cost and y=3sint. The coordinates of the x-axis intercepts of its graph are“ A (-4, 0) and (–3, 0)- B (-3, 0) and (3, 0) C (0, —4) and (0, 4)е D (-4, 0) and (4, 0)e E (4, 0) and (3, 0)

Q: What is the vertex of the parabola y=(x+3)²-4? A (3,4) B (-3,4)

A: The vertex of standard parabola equation  y = x2  is at (0,0)

Q: The voltage output (y) of a battery was measured over a range of temperatures (x) from 0°C to 50°C.…

A: The scatterplot of the linear model, quadratic model and cubic model is given. All the three…

Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: Write the equation (in standard form) of the parabolic arch formed in the foundation of the bridge…

A: here we have to find  the equation (in standard form) of the parabolic arch formed in the foundation…

Q: Zero Gravity. As part of their

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

Q: Consider the equation z = x² + y. (a) Describe the traces of the equation parallel to the xz-plane,…

A:

Q: (b) Find an equation for the parabola that has axis x = -1 and passes [3] through the points (4,5)…

A: Directrix is a line which together with a point called the focus defines the set of points that form…

Q: Parameterize an ellipse which begins at (-3, 3) at t=0 and then passes through (-6, 1), (-3, -1),…

A: First we have to find equation of ellipse in rectangular coordinate.

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: Two stations that are 2 km apart receive a sound signal issued from a source located at point…

A: The distance between the point 0,-1 and the point P (x, y) is, d1=x2+y+12 The distance between the…

Q: O O 2. The graph of the equationx + 3y = 6 intersects the y-axis at the point whose coordinates are…

A: To find the intersection point

Q: 2n are 3 2. The rectangular coordinates of the point | –6,– (A) (-3,3\3) (B) (3V3,-3) (C) (-33 ,3) •…

A: We have been given a point in polar coordinates as ( -6, 2π/3). We are required to convert it into…

Q: What is the equation of the line tangent to the hyperbola = 1 at the point (V2a, b)? y = -a+b 26 V26…

A:

Q: 10. A comet with a hyperbolic orbit passes within 572,000 miles of the center of the sun with the…

A: Given: A comet with a hyperbolic orbit passes within 572,000 miles of the center of the sun. The sun…

Q: Find an equation of the plane containing the line (x − 3) = −(y + 5) = −(z+2) and the point (5, 0,…

A:

Q: Find the points on the ellipse  (x2/9) + y2 = 1 closest to the point (2, 0).

A:

Q: O Find the equation of the parabola that has its focus at (-4, 1) and its directrix x = 0.

A:

Q: The orthogonal trajectory of y = ce* is a parabola of the form y = ax+b. Find the values of a & b so…

A: We are asked to find the value of a and b

Q: Find the y-intercept and any x-intercept(s) of the parabola with equation y = -(x + 7) + 16. If the…

A: