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the differenece between the prices of two bikes is $18 the sum of the prices is $258 how much does each bike coat?
Evaluate critical points, end points, local extrema and global extrema - Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.
Showing all working, solve the following pair of simultaneous equations for i1 and i2, expressing the answers to exact whole numbers:
Sheila has 25/72 ounces of gold. Bill has 7/30 ounces of gold. How much must Kelly have so that they have a combined 1 full ounce of gold?
What is the maximum possible area of a rectangle inscribed in the ellipse x2 + 4y2 = 4 with the sides of the rectangle parallel to the coordinate axes?
A car goes from station A to station B with a speed of 80 km/h and returns from B to A with a speed of 120 km/h. Find its average speed during the whole journey.
A pig farmer wants to enclose a rectangular area and then divide it into five pens with fencing parallel to one side of the rectangle. There are 650 feet of fencing available to complete the job. What is the largest possible total area of the five ..
from a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by removing squares of area x^2 from each corner and turning up the sides.
Objective questions based on regression.
Bob, driving a new Ford, travels 330 miles in the same amount of time it takes John, driving an old Chevy and traveling 10 miles per hour faster, to travel 390 miles. How fast is John driving?
Using rectangles whose height is given by the value of the function at the midpoint of the rectangles base (the midpoint rule); estimate the area under the graphs of the following functions, using first two and then four rectangles.
The surface area of this pyramid is 189cm squared The area of the square base is 49cm squared. What is the area of one triangular face of the lateral surface?
Let V be the volume of a sphere of radius r that is changing w/ respect to time. If dr/dt is constant, is dV/dt constant, explain. All edges of a cube are expanding at a rate of 3 centimeters per second. How fast is the volume changing when each ..
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