(-infinity,-4) (-4,-4) (-4,4) (4,4) (9, infinity) incorrect incorrect incorrect incorrect incorrect You are not allowed to use intervals or sets in this context You are not allowed to use intervals or sets in this context You are not allowed to use intervals or sets in this context You are not allowed to use intervals or sets in this context You are not allowed to use intervals or sets in this context At least one of the answers above is NOT correct. Consider the first order differential equation t y' + t2-16 = 9 For each of the initial conditions below, determine the largest interval a <t<b on which the existence and uniqueness theorem for first order linear differential equations guarantees the existence of a unique solution. a. y(-7) = -0.5. (-infinity,-4) help (inequalities) b. y(-0.5) = 1.7. (-4,-4) help (inequalities) c. y(0) = 0. (-4,4) help (inequalities) d. y(7.5) = 6.4. (4,4) help (inequalities) e. y(10) = 1.7. (9, infinity) help (inequalities)
(4) and is • Choose . continuous • not continuous ху Suppose y' = f(x,y) = cos(x)' af (1) ду (2) Since the function f(x,y) is . Choose • continuous • not continuous (3) at the point (0,0), the partial derivative dy • Choose .exists • does not exist at and near the point (0,0), the solution to y'=f(x,y) (5) . Choose .exists and is unique does not exist near y(0) = 0 af
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