(1 point) If y = foam), then Note: You must express your answer in terms of In, log, or Iogten, as WeBWorK doesn't understand how to evaluate logarithms to other bases. (1 point) The altitude (i.e., height) of a triangle is increasing at a rate of 3 cm/minute while the area of the triangle is increasing at a rate of 2 square cm/minute. At what rate is the base of the triangle changing when the altitude is 9 centimeters and the area is 95 square centimeters? The base is changing at cm/min. (1 point) When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV1'4 = C where C is a constant. Suppose that at a certain instant the volume is 680 cubic centimeters and the pressure is 91 kPa and is decreasing at a rate of 12 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant? Answer: Note: Pa stands for Pascal. One Pa is equivalent to one Newton/m2. kPa is a kiloPascal or 1000 Pascals. (1 point) Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the weight of the solid at any time t can be determined from the weight using the formula: . f'(t) = *1 t) (4 + N If there is 2 grams of solid at time t = 2 estimate the amount of solid 1 second later. (1 point) Let y = tan (3x + 7). Find the differential dy when x = 2 and dx = 0.1 Find the differential dy when x = 2 and dx = 0.2(1 point) Let y = 4 x. Find the change in y, Ay when x = 5 and Ax = 0.4 Find the differential dy when x = 5 and dx = 0.4