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The temperature at a point in a ball with conductivity K is inversely proportional to the distance from the center of the ball. Find the rate of heat flow across a sphere S of radius a with center at the center of the ball.
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
Find the equation of the tangent line
A person is given 4 coins each with equal and independent probabilities of being a nickel , a penny, a dime or a quarter. What is the probability the person has been 37 cents
Find all the zeros of the function and write the polynomial as a product of linear factors. Use a graphing utility to graph the function as an aid in finding the zeros and as a check of your results. (If you have a computer algebra system, use it ..
Undergraduate senior level Real Analysis. Please show me formal math proofs. Give an example of a binary relation which is
Two dice are rolled. If the total is 10, then player A receives 7 points. If the total is 6, then player B receives 6 points. Find the expected value for each player.
Appropriate probability space. Consider the experiment of choosing a whole number between 1 and 10, where the probability
Illustrate each of them with examples. Determine whether the following vectors in R3(R) are linearly dependent or linearly independent.
Determine the number of triangles ABC possible with the given parts.
A piece of wire is 38 inches long. The wire is cut into two pieces and each is bent to form a square. Find the length of each piece if three times the area of the larger square exceeds the area of the smaller square by 95.75 square inches.
Explain how you would conduct the survey. What are the ethical implications if the manufacturer of Brand A toothpaste asked you to survey only its employees?
Bob deposits quarters and dollar bills into a vending machine to buy snacks. Find a recurrence relation for the number of ways he can deposit 25*n cents into the machine if the order matters.
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