MATH 2070 (J. Hanna) Section 7.3 Your Name:___________________________________________ LA 7.3 ________ / 10 1. In November 2001 the National Weather Service published an updated Wind Chill Temperature Index, which uses air temperature and wind speed to measure how cold it actually feels. The wind chill is modeled by W (T , v ) 35.74 0.6215T 35.75v 0.16 0.4275Tv 0.16 , where T is the air temperature in and v is the wind speed in miles per hour. Check: W(-5,15) = -25.80216395 a. Find WT. Include units. b. Find W . Include units. v c. Use your answer to (b) to find W v . Show your work. Include units. (25,10) d. Use the nDeriv function on the calculator to check your answer to c. Show what you type on your homescreen here. e. Write a sentence of interpretation for your answer to c. MATH 2070 (J. Hanna) Section 7.3 Find the indicated partial derivatives for each of the following. 2. h(m, p ) me3 p 3.5m5 5.1 p 3. 4. a. h m b. h p c. h p (1,4) 2m p3 f ( x, y ) 5 x3 2 x 2 y 5 4 xy 7 y 3 a. fx b. fy c. f xx f xy f yx f yy a. y x x y fx b. fy c. f xx f xy f yx f yy f ( x, y )