Discuss the existence and uniqueness of a solution to the differential equation (7 plus t squared )y double prime plus t y prime minus y equals tangent t7+t2y′′+ty′−y=tant that satisfies the initial conditions y (4 )equals Upper Y 0y(4)=Y0, y prime (4 )equals Upper Y 1y′(4)=Y1 where Upper Y 0Y0 and Upper Y 1Y1 are real constants.

Find the solution set of this inequality. enter your answer in interval notation using grouping symbols. |8x-4| ≤ 12

The weight of a radioactive isotope was 96 grams at the start of an experiment. after one hour, the weight of the isotope was half of its initial weight. after two hours, the weight of the isotope was half of its weight the previous hour. if this pattern continues, which of the following graphs represents the weight of the radioactive isotope over time? a. graph w b. graph x c. graph y d. graph z

Pllz me also i will report if you are in for the 1. complete the table by converting each decimal to a fraction. repeating decimals. 0.31 0.125 0.1607 2. describe any patterns you noticed when converting the decimals in the table above.