If a person shoots a basketball overhand from a position 8 feet above the​ floor, then the path of the basketball through the hoop can be modeled by the parabola y equals StartFraction negative 16 x squared Over 0.434 v squared EndFraction plus 1.15 x plus 8y=−16x20.434v2+1.15x+8​, where v is the velocity of the ball in​ ft/sec, y is the height of the hoop and x is the distance away from the hoop. ​(a) If the basketball hoop is 10 ft high and located 1212 ft​ away, what initial velocity v should the basketball​ have? ​(b) What is the maximum height of the​ basketball?

Q: The focus of the parabola y^2 = 4x is at

A:

Q: The distance required to stop a car varies directly as the square of its speed. If it requires 200…

A: The distance is directly proportional to square of the speed. That is, d α s2⇒d=k·s2   →1  where k…

Q: Suppose a and b are positive numbers. Sketch the parabolas y2 = 4a2 - 4ax      and         y2 = 4b2…

A:

Q: What is the area of triangle bounded by the x-axis, the y-axis, and the line y=−4x+4?

A:

Q: A= 36f+²

A:

Q: Solve, (2x+3y-2)dx+(3x-4y+1)dy = 0 %3D

A:

Q: Find dy : Note: subscripts indicate a different variable. a. y = 4x +7x} +2x,x, +4x² +5

A:

Q: Find the Linear Speed of an Object Traveling in Circular Motion

A: The linear speed of a point on a rotating object depends on its distance from the center of…

Q: Use the substitution u = x² and the equation of a semicircle to evaluate 4XV4 - x* dx.

A: Given the integral  I =∫024x 4-x4dx To evaluate the integral :- Using the substitution,  u = x2  du…

Q: Find the coordinates of the point on the parabola y = x² which is closest to the point (3, 0).

A:

Q: y = 3(x+4/3)^2 - 2 How can I determine the x and y intercepts for this parabola?

A:

Q: Find the area blw y=5-4x and -x2+45 round answSer to 2 decimal places

A:

Q: A figure skater is sponning with her arms outstretched at an angular velocity of 76.4 revolutions…

A: Consider the given angular velocity  ω=76.4revolutionminute and radius r=90cm Convert unit…

Q: A Ferris wheel at Charlotte's Amusement Park has a diameter of 18 m and travels at a rate of 6…

A:

Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

A: Let's find standard equation of a parabola.

Q: dy if Find dx (3x2 + 6х — ух)(5х + 2 y + 10). DO NOT SIMPLIFY.

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.