1. Determine the equilibrium temperature distribution inside a circular annulus, (11≤r≤12): a. if the outer radius is at temperature T2 and the inner at T₁, and b. if the outer radius is insulated and the inner radius is at temperature T₁.

NO.: 10 DATE: BENDONG EDEN JOY A. Aoximi zation Contraints STEP 1: X = numbq 8. 1 ) Demo thi is lbaking cookieo for a oat meal raisin cookies. He gets 2.50 pesSOs for each chocolate chip cookie and 3.0o pesos for each cotmeal and he cannot malke more than s00 cookies total. Ite must make at least one thind bake vale. He is making chocolate chip and raisin cookie. He cannot make more than 500 cho colates as many chocolate of cookie should he make to get the mast money? Variables: x = number chip cookies as aatmeal raisin cookies Hnw many of cach Eind chocolate chip cookies at meal Qumlber Cmkien

4. While visiting Newfoundland, Ray notices that that the water level at a town dock changes during the day as the tides come in and go out. Marking on one of the piles supporting the dock show a high tide of 3.3 m at 6:30 am., a low tide of 0.7 m at 12:40 p.m., and a high tide again at 6.50 pm. a) Estimate the period of the fluctuations in the water level at the town dock. b) Estimate the amplitude of the pattern. c) Sketch the function.

. At wind speeds above 1000 cm/sec, significant sand–moving events begin to occur. Wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. 75 wind speed readings gave an average velocity of x =1045 cm/sec. Based on long–term experience,  can be assumed to be 240 cm/sec Find a 99% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number) (DO A MANUAL CALCULATION, SHOWING ALL WORK INCLUDING THE EQUATION USED AND THEN WITH ALL VALUES PLUGGED INTO THE EQUATION)(SHOW WORK ABOVE) [final answer] Margin of Error: E = (value with units)[final answer] Confidence Interval : _________________ < __________________ < __________________ (value with units) (correct symbol) (value with…