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Let A and B be the endpoints of the diameter of a circle of radius a and let P be any other point on the circle. Determine the vectors u→ = AP and v→ = BP (in terms of a and θ) and show that u→ and v→ are orthogonal.
The Action Sports Network surveyed 265 of its viewers to determine which sports they watched most often. The results of the survey showed:
Mr. Smith feels that each day his dog should have at least 8 units of protein, 5 units of carbohydrates, and 16 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least cost?
An industrial tank (a solid formed by adjoining two hemispheres to the ends of a right circular cylinder) must have a volume of 4000 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimen..
Determine the nature of the solutions of the equation. x^2-10=0. Choose the correct nature of the solutions of the equation. Is it a) 1 real solution; b) 2 imaginary solutions; or c) 2 real solutions.
A statistics professor plans his classes so carefully that the lenghts of his classes are uniformly distributed 50.0 and 52.0 minutes. Find the probably that a given class period runs greater than 51.5 minutes.
A revolving lighthouse is located 100 m from the nearest point P on a straight shoreline. The light makes one revolution every 30 seconds. Find the speed at which a ray of light from the lighthouse moves along the shore at a point 200 m from P.
On the other hand, the interest earned during that year was 22% rather than 20%. What is the total per contract gain for this year?
A test consists of 810 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
Use the DSolve function in Mathematica to solve the initial value problem. If necessary, show that the answer given by Mathematica is equivalent to the answer you obtained by hand.
A garden table and a bench cost $1000 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench?
Raw materials are added at the beginning of the process for each unit of product produced, and labor and manufacturing overhead are added evenly throughout the manufacturing process. Manufacturing overhead is applied to Work-in-Process at the rate..
question if 0.3kg mass is attached to a spring with an elastic constant of 250nm and moved 0.25m from the equilibrium
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