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Question: The temperature T (in °C) at any point in the region -10 ≤ x ≤ 10, -10 ≤ y ≤ 10 is given by the function
T (x, y) = 100 - x2 - y2.
(a) Sketch isothermal curves (curves of constant temperature) for T = 100?C, T = 75?C, T = 50?C, T = 25?C, and T = 0°C.
(b) A heat-seeking bug is put down at a point on the xy plane. In which direction should it move to increase its temperature fastest? How is that direction related to the level curve through that point?
If 5 hats cost £28 how much will 7 hats cost? Given that the value of each hat is fixed.
The manager of a grocery store wants to determine whether the amount of milk contained in 2-litre cans actually averages 2 litres as advertised. State the null and the alternative hypotheses. Which kind of test you will use to prove it?
Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 797. Find a linear function S(t), which fits this data, and which expresses sc..
Calculate the total number of outcomes in the sample space if an experiment has 5 outcomes on the first trial, 4 outcomes on the second trial, 4 outcomes on the third trial, and 6 outcomes on the fourth trial.
Assume that the spinner cannot land on a line. Determine the probability that the spinner lands on (a) red, (b) green, (c) yellow, (d) green. The spinner is divided into 8 halves. There are (a) red = 4, (b) green = 1, (c) yellow = 1, and (d) blue = ..
The function P(t) = 145e-0.092t models a runner's pulse, P(t), in beats per minute, t minutes after a race, where 0 ≤ t ≤15. Graph the function using a graphing utility. TRACE along the graph and determine after how many minutes the runner's puls..
you intend to create college fund for baby. if you can get an interest rate of 5.3% compounded monthly and want the fund to have value of $123,875 after 17 years, how much should you deposit each month?
Using the Die class defined in this chapter, write a class called PariOfDice, composed of two Die objects. Include methods to set and get the individual die values, a method to roll the dice, and a method that returns the current sumof the two die..
for the data set shown below do they following. a compute the standard error the point estimate for sigma. b assuming
near equation that models the temperature as a function of the number of chirps per minute .
The perimeter of a rectangular backyard is 6x + 6yds. If the width is x yds, find a horizontal that represents the length.
How fast is the top of the ladder moving down the wall when the base is 15 feet, 20 feet, and 24 feet away from the house
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