1.

\fLet '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 gramsfminute} of the weight of the solid at anyr time t can be determined from the weight using the forumula: f'(t) = 4f(t){ + fftn If there is 4 grams of solid at time t = 2 estimate the amount of solid 1 second later. A police car is located 30' feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 11G feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 85 feet per second. HDW fast is the red car actually:r traveling along the road? The actual speed {along the road] of the red car is :1 feet per second Astreet light is at the top of a 14 ft tall pole. A woman +5 ft tall walks away from the pole with a speed of 6 ftr'seo along a straight path. How fast is the tip of her shadow moving when she is 50 ft from the base of the pole? E Let fft) 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 gramsfminute} of the weight of the solid at an}...r time t can be determined from the weight using the forumula: f '(t) = 3fft]{3 + f(t]} If there is 6 grams of solid at time t = 2 estimate the amount of solid 1 second later. The circumference of a sphere was measured to be Tl} cm with a possible error of '15 cm. Use linear approximation to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area