Water is released into a tank at the rate r(t) = 5+ vt ft3/min at time t (in minutes) at time t = 1, there is 12 ft3 of water in the tank. 6 (a) evaluate |r(t) dt, rounding your answer to two decimal places (b) in the context given above, what does the value in part (a) tell us? (c) determine the volume of water in the tank at timet 6 3. t/f (with justification cos(a2) da sin(2)c

Prove that quadrilateral is a rhombus.

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label?

Simplify (4x^2 - 8xy + 2y^2) - (9x^2 - 4xy - 7y^2) a. -5x^2 + 4xy + 9y^2 b. -5x^2 - 4xy + 9y^2 c. -5x^2 + 12xy + 4y^2 d. -5x^2 - 4xy - 5y^2