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Suppose that we know f(x) is a polynomial with critical points x=-1, x=2 and x=6. If we also that the 2nd derivative is f''(x) = -3x² +14x -4. If possible, classify each of the critical points as relative minimums, relative maximums. If it is not possible to classify the critical points clearly explain why they cannot be classified.
study the function : x^2/x-1
If 4 cards are dealt from a standard deckof 52 playing cards, what is the probability that
3 will be diamonds?
Using Hypergeometric Distribution
find the nth term of the following series 1*2/3^2*4^2 + 3*4/5^2*6^2 + 5*6/7^2*8^2 + ... is convergent.
find the area of the surface that is generated by revolving to portion of the curve y=x^3 between x=0 and x=1 about x axis?
(1+3i÷2-5i)^2
the sample population is normally distributed, ¯x=42.5, σ = 3, and n = 30. What is the 90% confidence interval for µ?
A hog raiser is mixing two types of grains A and B. each units of grain A costs P50 and contains 20 grams of fat and 10 grams of protein. Each unit of grain B costs P80 and contains 30 grams of fat and 30 grams of proteins. The hog raise wants each units of the final product to yield at least 180 grams of fat and at least 120 grams of protein. How many units of each type of grain should he use to maximize his sales?
A veterinarian mixes two types of animal food: Food 1 and Food 2. Each unit of Food 1 cost P200 and contains 40 grams of fat, 30 grams of protein, and 1, 200 calories. Each unit of Food 2 cost P180 and contains 40 grams of fat, 60 grams of protein, and 1,600 calories. Suppose the veterinarian wants each unit of the final product to yield at least 360 grams of fat, at least 240 grams of protein and at least 9, 600 calories, how many grams of each of type of ingredients should the veterinarian use to minimize his cost?
RB Music Store assembles stereo equipment for resale in the shop. The store offers two products; two products; turntables and cassette players. The store makes a profit of P400 on each turntable and P250 on each cassette. Both must go through two steps-assembly and bench checking. A turntable takes qw hours to assemble and 4 hours to bench check. A cassette player takes 4 hours to assemble but 8 hours to bench check. Looking at this month’s schedule, the store sees that it has 60 assembly hours uncommitted and 40 hours bench-cutting time available. What combination of turntables and cassette players would maximize the store’s profit for the month?
