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At noon, ship A is 50 km west of ship B. Ship A is sailing south at 45 km/h and ship B is sailing north at 25km/h. How fast is the distance between the ships changing at 4:00pm.
The volume of wood in a tree varies jointly as the height and the square of the girth. Girth is the distance around. If the volume is 38.4 cubic feet, when the height is 30 feet and the girth is 4 feet,
Two ships leave port at the same time. Ship X is heading due north and Ship Y is heading due east. Seven hours later they are 350 miles apart. If the Ship X had traveled 280 miles from the port, how many miles had Ship Y traveled?
Jonathan is a 42 year old male student and Mary is a 37 year old female student thinking about taking this class. Based on their relative position, which student would be farther away from the average age of their gender group based on this sample..
Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution. If an object is propelled upward from ground level with an initial velocity of 92.5 feet per second, its height h in feet t seconds later
calculate the variable costs of hand- made rocking chairs using the following information.
Use matrices to solve the system of equations (if possible). Use Gaussian elimination with back substitution or Gauss-Jordan elimination. Explain steps and show work.
Use green's theorem to calculate the area of the region between the x-axis and one arch of the cycloid with parametric equations x = a(t - sin t), y = a(1 - cos t).
Build a three dimensional shape and prepare a set of questions to be presented to the class for problem solving. Questions should encourage students to cover the concepts of perimeter, volume, surface area, number of vertices, faces, and edges ass..
Find the volume using shell method? Rotate the region bounded by y=x and y=x^2 about the y-axis. The answer is 3pi/10. Please explain.
Describe an algorithm that identifies the bad coin in at most three weighings and also determines whether it is heavier or lighter than the others, using only a pan balance.
Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
The plane y + z = 3 intersects the cylinder x^2 + y^2 = 5 in an ellipse. Find the parametric equations for the tangent line to this ellipse at the point (1,2,1)
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