10:49 88 Assignment Overview 1 DeltaMath Score: 0/12 Penalty: 1 off Finding Holes Algebraically Question Video Examples Find all holes of the following function. If a hole exists, write your answer as a coordinate point in simplest form. 3x² - 30x f(x) = - x² - 9 Answer Attempt 1 out of 2 + Add a Hole No Holes AA ⚫ deltamath.com 1 Submit Answer

A(n)............ is the collection of all points in the plane the sum of whose distances from two fixed points is a constant

a) Check that the functions e^x, e^-x,coshx are solutions of y'''-y'=0 b) show directly that W(e^x, e^-x,coshx)=0 and conclude that these functions do not form a fundamental set c)Find a fundamental set of solutions by inspection. Justify your answer by computing the wronskian

A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with two hoses. Let X denote the number of hoses being used on the self-service island at a particular time, and let Y denote the number of hoses on the full-service island in use at that time. The joint pmf of X and Y appears in the accompanying tabulation.   y p(x, y)        0 1 2 x 0     0.10     0.03     0.02   1     0.07     0.20     0.08   2     0.05     0.14     0.31     (a) Given that X = 1, determine the conditional pmf of Y—i.e., pY|X(0|1), pY|X(1|1), pY|X(2|1). (Round your answers to four decimal places.) y 0 1 2 pY|X(y|1)                       (b) Given that two hoses are in use at the self-service island, what is the conditional pmf of the number of hoses in use on the full-service island? (Round your answers to four decimal places.) y 0 1 2 pY|X(y|2)                       (d) Given that two hoses are in use at the…