\f > ASSIGNMENT #3 Material covered in this Assignment: MODULES SEVEN and EIGHT 1. How fast must you let out the line of a kite flying 40m high and 30m horizontally away from you and moving horizontally away from you at a rate of 10 m/min? 2. A stone is dropped into a pool causing ripples to expand outward from the point of impact. How fast is the rippled area increasing when the radius is 35cm and increasing at a rate of 9 cm/sec?o H d2l.laurentian.ca CL . mm Page , r'nwLaLuenHan \\E| Assignment 3 - MATH 1036EL12-Calculus I (2022F) + AutomaticZoum v 3. Grain is falling into a pile at the rate of .25 m3/min. If the pile maintains the shape of a right circular cone with height equal to half the diameter of its base, how fast is the pile increasing in height when it is 3 In high? > 4. From the above graph of y = (x) determine (a) where f(x) is undefined (b) the domain of f(x) expressed as a union of intervals (c) where f(x) has a relative max or min d) the intervals where f (x) is increasing or decreasing (e) which one of the following satisfies the formula for f(x). Circle your answer. 2 2 - 4 ac (202 - 4) (202 - 1)V d21.laurentian.ca + my Front Page - myLaurentian D2L Assignment 3 - MATH 1036EL 12-Calculus I (2022F) 5. (a) Find the absolute maximum and minimum values of f (x) = x2(x - 1) in the interval [-1, 1]. (b) Let f(x) = 1023 - 32. Find the intervals where f is concave up and concave down. Find inflection points if any. Download Print (212 - 2 + 3). i= 1 MATH 1036EL 2022F Page:33 11. Evaluate the following definite integrals: ( a ) ( 2 2 + 1 ) da Download Print