An object of mass 4 Kg starts at the origin in xy-plane with initial velocityvector,( 0 )1, 1, 1v=<>. A force of magnitude 20 N acts directly upward from the xy-plane underneath the object, while gravitational force acts downward on the object. The magnitude of gravitational acceleration210 m/sg≈. Find, (i) the velocity()vtand the position function ()rtof this object, (ii) the time it lands on ground, and (iii) the coordinates of its landing.

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

Given the statements, "a square root of 16 is 4," and "a square root of 9 is -3," complete the following blanks with the correct truth-values. p is and q is , so the statement, "a square root of 16 is 4 or a square root of 9 is -3" is .

The table above shows approximate conversions from gallons to liters. what is the value of x?