1.4.59 A water tank has the shape obtained by revolving the parabola x² = by around the y-axis. The water depth is 25 ft at 12:00 P.M., when a circular plug in the bottom of the tank is removed. At 1:00 P.M., the depth of the water is 9 ft. (a) Find the depth y(t) of water remaining after t hours. (b) When will the tank be empty? (c) If the initial radius at the top surface of the water is 5 ft, what is the radius of the circular hole in the bottom? (a) y(t) = Question Help

Q: 11 Write the equation of the parabola that has "a" value 3 and y-intercept 6. 0/1

A:

Q: = J 5 ghi a b C 2f+c 2d+a 2e+b h g h (Simplify your answe

A: If  we have to find

Q: A badminton birdie is hit along an arc described by the parabola h(x) -0. 1x² + x + 2.4, where h is…

A:

Q: The path of a parabolic arch is given by h(d) = –0.025d2 + d, where h(d) is the height of the arch…

A:

Q: Tangents are drawn to the parabola y2 = 4ax at the point where the line Lx + my + n = 0 meets this…

A: Introduction:  A line that touches the parabola exactly at one point is called the tangent to a…

Q: Q.1/ a- Find the radius and center of the equation 9x2 + 9y² - 6x - 107 = 36y %3D

A:

Q: Find the equation of the directrix and the length of the latus rectum of the given parabola.…

A:

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

A: We have to find percent change in the area after increasing major axis and minor axis.

Q: On which curve does the perpendicular tangents drawn to the 1² hyperbola - 25 16 - 1 intersect?

A:

Q: Quadratic: y=" fincl Hhe 2irent graph and Parent dH ributes

A: Given that y=x2 Parent functions are the simplest form of functions.  The parent graph of the given…

Q: Based on the view from above, write an equation describing Han's vertical position v, in feet,…

A: In this question, the concept of a trigonometric function is applied. Trigonometric Function The…

Q: On which curve does the perpendicular tangents drawn to the hyperbola ²²² 1 25 16 = 1 intersect?

A: The given hyperbola is x225-y216=1 Rewrite the equation as x252-y242=1 Comparing with general…

Q: Find the equation for the parabola that has its focus at the (−7/4,−9) and has directrix at x=15/4

A: Here we have to find equation of parabola with given focus and directrix.

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 8 -…

A:

Q: Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second…

A:

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 4 –-…

A:

Q: A certain bridge arch is in the shape of the top half pf an ellipse 132 feet wide and 33.5 feet…

A:

Q: Determine the graph of the cylinder z=6y2−1.  Choose the correct graph of the equation.

A: Answer:-Option (C) The equation z= 6y2-1 will have a 2D plot in z-y plane. Now its 3-D graph will be…

Q: Find the focus of the parabola y = x 2 - 12x. (6, -35) (6.75, -36) (6, -35.75)

A: