3. You are standing in a (cold) room and the temperature at a point in theroom is given by the equation T(x, y) = 0.005x² + 0.01y², where r and y aremeasured in inches from a central point in the room and T is measured indegrees Fahrenheit. You are standing at a point with coordinates (60, 40).The positive r-axis points due east and the positive y-axis points due north.(a) If you walk due west, will the temperature increase or decrease?(b) In which direction is the temperature change greatest?(c) What is the rate of temperature change in that direction?

(a) walking towards west will decrease the value of x keeping y constant. Thus overall temperature…

Answered: 3. You are standing in a (cold) room…

Similar questions

1. Two thermometers, calibrated in the Celcius scale and the Farenheit scale, are used to measure same temperature. The value on the farenheit thermometer ________________? a. is proportional to that on the Celcius thermometer? b. is greater than that on the Celcius thermometer? c. is less than that on the Celcius thermometer? d. May be greater or less than that Celcius thermometer? . 2. A vapor that condenses into liquid will_______. a. Absorb heat b. Evolve heat c. Have a higher temperature d. Have a lower temperature . 3. A cup of hot coffee can be cooled by placing a cold spoon in it. Assuming that the spoons all have the same mass, the one that is most effective for this purpose is the spoon made of_____ a. Aluminum b.copper c.iron d.silver . 4. One gram of steam at 100 celsius causes a more serious burn than a 1 gram of water at 100 celsius because the steam _____ a. is less dense b.strikes the skin with greater force c.Has a higher specific heat capacity d.Contains more…
Newton's Law of Cooling The temperature of a cup of coffee t min after it is poured is given by the following equation where T is measured in degrees Fahrenheit. T = 65 + 90e−0.068t (a) What was the temperature (in degrees Fahrenheit) of the coffee when it was poured? ____ °F (b) When (in minutes) will the coffee be cool enough to drink (say, 120°F)? (Round your answer to one decimal place.) ______min
2. Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P of the gas is inversely proportional to the volume V of the gas. (That is: at a constant temperature, the equation P = c. 1 holds, for some constant c.) V (Note: The standard units of volume are cubic meters, m³, and the standard units of pressure are Pascals, Pa, or kiloPascals, kPa.) 3 (a) Suppose that the pressure of a sample of air that occupies 0.106 m³ at 25°C is 50 kPa. Write V as a function of P. (b) Calculate dV dP when P = 50 kPa. What is the meaning of the derivative? What are its units?
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The temperature at a point (x, y) on a flat metal plate is given by T(x, y) = 96/(2 + x² + y2), where T is measured in °C and x, y in meters. Find the rate of change of temperature with respect to distance at the point (1, 3) in the x-direction and the y-direction. (a) the x-direction 1 °C/m (b) the y-direction Need Help? Read It °C/m Show My Work (optional) W S 3 E D $ 4 R LL % O G F7 A H FA * ( 9 ) O 4x D 7:16 PM 10/3/2022 Backspace
The following data are given for the pressure and temperature variation in air as a function of elevation: Elevation in [m] 0. Temperature in [°C]_pressure [atm] 28 1. 1000. 25 0.796 2000. 19 0.6314 3000. 12 0.4982 4000. 3 0.3905 5000. -1 0.3043 6000. 11 0.2356 You want to check if these measurements are correct. You are going to use a balloon and rise in the corresponding altitudes. If the balloon weighs 1000kg (all included, weight of yourself, equipment, inflated part etc) calculate the volume of inflated part of the balloon, so that the initial acceleration is 15m/s?. Assume that the balloon is a sphere and neglect the deflated part of the balloon as far as volume is concerned. Can you verify all measurements with this volume of the balloon? What kind of adjustments do you need to make in order to complete your mission?
One liter of a certain gas is heated from 250C to 1000C. What is the final volume?β= 950 x10-6/°C
Please solve it correctly! It is of advanced physics.
How do I calculate L?
1. Suppose the amount of air in a person's lungs is 2.2 L, Calculate the number of moles of air molecules in the person’s lungs when the pressure there is atmospheric pressure. Note that the air is at 37.0°C (body temperature). 2. An expensive vacuum system can achieve a pressure as low as 1.05 × 10-7 Pa at 20°C, How many atoms are there in a cubic centimeter at this pressure and temperature?
2. A thermometer is removed from a room where the temperature is 70°F and is taken outside, where the air temperature is 10°F. After half a minute the thermometer reads 50°F. What is the reading of the thermometer at t = 1 minute? How long will it take for the thermometer to reach 15°F?
14. The sun's temperature decreases steadily as the distance from its innermost regions increases. The sole exception to this is in the outermost part of the sun's atmosphere. This region, called the corona, consists of thin gases that are heated by the sun's magnetic field. As a result, the corona has an average temperature of about 1.0 x 10° K. What is this temperature in degrees Celsius? Must give answer then also | give answer in significant fig format