For the differential equations dy/dx = squareroot y^2 - 81 does the existence/uniqueness theorem guarantee that there is a solution to this equation through the point 1. (-1, 83)? 2. (1, 87)? 3. (2, -9)? 4. (0, 9)?

Polygons efgh and e′f′g′h′ are shown on the coordinate grid: what set of transformations is performed on efgh to form e′f′g′h′? a. a translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin b. a translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin c. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the right d. a 90-degree clockwise rotation about the origin followed by a translation 2 units to the left

Find the value of p for which the polynomial 3x^3 -x^2 + px +1 is exactly divisible by x-1, hence factorise the polynomial

What is the range? can’t seem to find it out