OC userin Mathematics·3 Jun 20187. Find the most general antiderivatives of the following functions. a) f(x)=x*-* +20 b) f(x) = 4 secº x+sin x
OC userin Mathematics·2 Jun 2018PROBLEM 08: A chef is to prepare a special salad by selecting one of four types of lettuce, one of five types of garnishes, and one of six types of dressing (that is, a special salad consists of one type of lettuce, one type of garnish, and one type of dressing). How many different salads are possible? A) 20 B) 15 C) 120 D) 60 E) none of the above
OC userin Mathematics·1 Jun 20187. Let f(x) = . Use the definition of the derivative to find f'(2). No marks will be given for the use of any differentiation rules.
OC userin Mathematics·2 Jun 201813. Dinner menu choices allow two different side dishes to be chosen from fries, slaw, beans, or salad. One dessert choice is also allowed froin ice cream, cake, or cookies. A person will choose two different side dishes and one dessert. How many different dinners are possible? (A) 7 (B) 144 (C) 18 (D) 25 (E) 42
OC userin Mathematics·31 May 20187. Let F= {0,1,a, b} be a field with four elements. (a) Prove that a b=1. (b) BONUS (2 extra marks): Prove that 1+1=0.
OC userin Mathematics·31 May 2018(t) in °C of the pot of soup at time t (in The initial temperature of a pot of soup is 80°C. The temperature minutes) satisfies the differential equation dT di T-20 10 (b) What will be the temperature of the pot of soup after 10 minutes? Round your answer to the nearest degree (integer).
OC userin Mathematics·30 May 201810. The area of the region between y=x2, y = 2x +3,2=-2 and 2 = 0 is D4 None of these
OC userin Mathematics·31 May 2018Problem 6. (12 points) A box contains 12 blue marbles and 8 orange marbles, Consider drawing two marbles from the box at random without replacement. (a) Give a tree diagram for drawing two marbles and recording their color. Label the branches with probabilities.
OC userin Mathematics·31 May 201813. For two independent events we know that Pr[A]=.7 and Pr[ANB]=21. Find Pr[B]. (a) .7 (b) .6 (C) .5 (d) .4 (e) .3 (f) none of the above
OC userin Mathematics·30 May 2018A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly. 12. Six of these cards will be selected at random. Let X = the number of red cards observed in the set of six selected cards. Which of the following probability distributions is appropriate for modeling the random variable X? A) The Normal distribution with mean 3 and variance 1.22. B) The binomial distribution with parameters n= 6 and p=0.5. C) The binomial distribution with parameters n = 10 and p = 0.5. D) None of the above.
OC userin Mathematics·29 May 201814. Let f(x) = 7° 45pm 5. Find f(75)(-3), i.e., the value of the 75th derivative of f at I= -3. A -(76!) ® 76! © 77! -(75!) 6 75!