Calculus Answers

A boat leaves a dock at 2:00 P.M. and travels due south at a speed of 25 km/h. Another boat has been heading due east at 10 km/h and reaches the same dock at 3:00 P.M. How many minutes past 2:00 P.M. were the boats closest together?

Find the dimensions of a rectangle with area 2500 m^2 whose perimeter is as small as possible. List the dimensions in non-decreasing order.

........................m

........................m

At what value(s) of x on the curve y=10+250x3−3x5 does the tangent line have the largest slope?

Answer (separate by commas): x=

Suppose p is a polynomial with n distinct real roots. Show that p' has at least n−1
distinct real roots.

How to solve this equation? please help me,

Find the equation for circle with center (1,3) that passes through (4, -1)

the derivative of a function is f'(x)=(x-1)^2(x+3). find the value of x at each point where f has a:
a.local maximum
b. local minimum, or
c. point of inflection

Find the point on the curve y = cos (x) closest to the point (1,1)

A boat is pulled towards a dock by means of a rope that is located 4 feet above the front of
the boat. If the rope is being pulled at a rate of 3 ft/sec, how fast is the boat approaching
the dock when it is 25 ft from the dock?



answer is 3.038