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1) 5x^2+5x+xy=2 and y(2)=-14 y(2)=-14, find y'(2) by implicit differentiation.
2) A street light is at the top of a 13 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 ft from the base of the pole?
What is the probability that a single, randomly selected piece of material will be defective? (Give the answer to two decimal places.)
Chic Sales is a high-end consignment store with several locations in the metro area. The company noticed a decrease in sales over the last fiscal year. Research indicated customer satisfaction had decreased and the owner, Pat Turner, decided to c..
Probability and chance A prison has 20 balls, 10 black and 10 white. The prisoner is to arrange the balls in 2 boxes. All of the balls must be used and there must be at least one ball in each box.
The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane.
The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 112 feet per second is a function of the time and is given by the equation f(x) = 112x - 16x2, where x represents the time. Find the hig..
A submarine started at the surface of the water and was moving down at -15 kilometers per minute toward the ocean floor. The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor. What is the depth of the ocean..
Let S be the set of subroutines of a computer program. Define the relation R by PR Q if subroutine P calls subroutine Q during its execution. Describe the transitive closure of R.
Find the net price for an order of merchandise with a list price of $15,000 less trade discounts of 30/25/10. Use the net price, complement method.
Then graph the equation and use the graph to determine the value of Bob's coin collection if it is 9 years old.
A certain plane can fly 210 mph in calm air. If the plane can travel 540 miles against the wind in the same amount of time it can travel 810 miles with the wind, then what is the rate of the wind?
For example, assuming that your income rises after you graduate, do you think that your share of expenditures on services will increase or decrease?
Let G be an open subset of C ( complex plane) and let P be a polygon in G from a to b. Use the following 2 theorems to show that there is a polygon Q in G from a to b which is composed of line segments which are parallel to either the real or imag..
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