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Let A ? Rn and B ? Rm be two compact sets. Prove that the product set A × B ? Rn+m is a compact set.
Let X and Y be two compact sets in Rm, and let f : X × Y ? R be a continuous function. Prove that the function x ? miny?Y f (x, y) is also a continuous function
The number of people afflicted with the common cold in the winter months steadily decreased by 7851 each year from 2009 until 2013.
Louisa foster invested 4500 at 3% interest compounded semiannually for 2 years. Find the amount and compund inteerest using the compound interest
A trendy garment receives orders from three boutiques. The first boutique orders 25 jackets, 75 shirts, 75 pairs of pants.
Bob has been losing weight. His weight in July was 97% of his weight in June. His weight in June was 95% of his weight in May
A high speed train travels from Chicago to Denver at an average speed of 90 miles per hour, but can make the return trip at an average speed of 110 miles
A new student joins Ms.Sousas class.That new student can say the alphabet 3 and 1/2 seconds.What is the new differnce between the greatest length
Discuss the relationship among the graphs of the lines with equation y = mx +2 where m is any real number.
"Six Sigma and Acceptance Sampling" Please respond to the following:
If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt
Air is being pumped into a spherical balloon so that the radius is increasing at the rate of dr/dt = 3 inches per second
Draw at least 4 different nets that would form a cube.Are angles of a triangle considered to be supplementary? Explain your answer.
Area of Triangle, Parallelogram and Rectangle. Please show and explain your work as best you can with the keyboard even if it is a one-step process.
Area of shaded region and measurements.Find the area of the shaded region on the following geoboard if the unit of measurement is 1 cm2.
What two shapes can be combined to make a trapezoid?List the shapes to use and the number of each to show 3 ways to make a hexagon.
Determine the volume and the surface area of a cylinder that has a height of 18 inches and a base of 6 inches.
Find the coordinates. Construct the quadrature of 3 squares. Let a = 3 be a line segment that extends along the y-axis from the origin O to the point B at (0,3)
Pascal's Triangle and the Binomial Theorem.How is the sum of the entries in row 5 in Pascal's triangle related to powers of 2?
Verify each differentiation formula and explain how.
Find the area of a trapezoid with a height of 4 m and bases of 13 m and 22 m.
The included angle of the two sides of constant equal length s of an isosceles triangle is Z degrees.
A Ladder is 25 feet long and is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second.
A balloon rises at a rate of 3 meters per second from a point 30 meters from an observer. Find the rate of change of the angle of elevation of the balloon
Explain whether each statement is true or false. Please give short explanation why and if false, please give an example.