Determine whether a conclusion can be drawn about the existence of uniqueness of a solution of the differential equation (7 minus t )y double prime plus 5 t y prime minus 7 y equals sine t, given that y (0 )equals 7 and y prime (0 )equals 7. If a conclusion can be drawn, discuss it. If a conclusion cannot be drawn, explain why.

What is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.

Amodel rocket is launched from a roof into a large field. the path of the rocket can be modeled by the equation y = -0.04x^2 + 8.6x + 4.8, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. how far horizontally from its starting point will the rocket land? a. 0.56 m b. 215.56 m c. 431.11 m d. 215.74 m

Find the value of x. round the length to the nearest tenth