7. Solve the following IBVP: Uu = 4uzz, 0 < x < 2n, t> 0, u(0, t) = 27, u(27, t) = 0, t20, u(x, 0) = x - 27, 0
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- 1. Suppose that, in Example 2.27, 400 units of food A, 600 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.6. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.6 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 1 Food C 1 1 2Provide solution from the given problem on Pigeonhole Principle. Problem: In a room of 499 people, there exist two who share a birthday.If the last corner entry is A ( 5, 5) = 11 and the last pivot of A is U ( 5, 5) = 4, what different entry A(5, 5) would have made A singular?
- Prove that points A(2,4,3), B(4,5,1), C(5,0,11), and D(5,4,3) are coplaner.Construct the vectoe 1.6a + 1.3 b having initial point PSuppose that receiving stations X, Y, and Z are located on a coordinate plane at the points (4,4), (−12,−4), and (−6,9), respectively. The epicenter of an earthquake is determined to be 5 units from X, 13 units from Y, and 10 units from Z. Where on the coordinate plane is the epicenter located?
- Assuming Get Food Now achieved 12,000 interactions, how many of these would have resulted in customer being less than satisfied with their first interaction?Solve the following problem and SHOW YOUR COMPLETE SOLUTIONS FOR BETTER UBDERSTANDINGassume that the 160 students who take this exam will receive one of 24 grades i. What does the pigeonhole principle tell us about the exam results of these students? ii. Regardless of the scores assigned, how many other students must get the same grade as you?