FOR DAVISMARK ONLY

Alex Martineau

MTH-2100 calculus 1 homework 3 questions.

(Please submit your Homework 3 assignment here as a Word or PDF attachment.)

page 136-137 # 7, 16, 21, 34

7) Find the derivative of the function

16) Find the derivative of the function

21) Find the derivative of the function

34) Find the derivative of the function

page 153 # 5, 9, 16

5) A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given values of x.

centimeters per second

9) consider a liner function if x changes at a rate, does y change at a consistent rate? Is so, does it change at the same rate as x? explain?

16) all edges of a cube are expanding at a rate of 6cm per second. How fast is the surface area changing when each edge is (a) 2cm (b) 10cm

page 325 # 42, 48, 53, 62

42) Find the derivative of the function

48) Find the derivative of the function.

53) Find the derivative of the function.

62) Find the derivative of the function

page 343-344 # 23, 27, 33, 72

23) use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has an inverse function.

27) use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has an inverse function.

33) show that f is strictly monotonic on the given interval and therefore has an inverse function on that interval.

72) (a) find the domains of and (b) find the range of and (c) graph and (d) show that slops of the graphs of and are reciprocals at the given points.

page 352 # 34, 38, 39, 46

34) find the derivative

38) find the derivative

39) find the derivative

46) find the derivative

page 362 # 41, 44, 51

41) Find the derivative of the function

44) Find the derivative of the function.

51) Find the derivative of the function

page 372 # 40, 43, 49

40) Find the derivative of the function

43) Find the derivative of the function.

49) Find the derivative of the function.