3 4 1 ,P(b) =, P(c) = 0, P(d): 8 5 5 В) Р(а) %3 P(b)= -, P(c)=0, P(d)=1 | 9' C) P(a) = 0.2, P(b)=0, P(c)=0.4, P(d)=0.6

27. In a memory experiment, Alice is able to memorize words at a rate given by m′(t)=−0.009t2+0.5t. In the same memory​ experiment, Ben is able to memorize words at the rate given by M′(t)=−0.003t2+0.5t.   ​a) Who has the higher rate of memorization?     Ben   Alice   ​b) How many more words does that person memorize from t=0 to t=10 ​(during the first 10 minutes of the experiment)?   words ​(Simplify your​ answer.)   ​c) Over the first 10 minutes of the​ experiment, on​ average, how many words per minute did Alice memorize?   words ​(Simplify your​ answer.) ​d) Over the first 10 minutes of the experiment, on​ average, how many words per minute did Ben​ memorize?   words ​(Simplify your​ answer.)

11. Translate 5 units left and 3 units down. a. C(-1,-4), D'(-2, –1), E'(1, –4) b. C'(7,–2), D'(6, 1), E'(9, –2) c. C(-3, 4), D'(-4, 7), E'(-1, 4) d. C(-3,-2), D'(-4, 1), E'(-1, -2)

any number, detailed pls

4. y = x- 3 Input (x) Output (y) 4 6. 2.

27 Find (all) the value(s) of c such that ): 3c2n %3D (A) c=3 (В) с— 4 (C) c = -} } (D) c = 3 1 1 3 3 (E) c = –3, 3 (F) c = ; O B OD O E O A O F O O 0 O O

Suppose that the population of Velddrif, a small coastal town on the West Coast of South Africa, was 1000 at the end of the year 2000. Suppose further that the population increased (continuously or steadily) by approximately 5% per year. Then the population can be described by the DE dP dt = 0.05P. Applying five iterations of the Improved Euler formula with P(0) = 1000, where t = 0 corresponds to the end of the year 2000, and a step size of h = 1 to this problem, yields (a) P(1) ~ for the population size at the end of the year 2001. (b) P(2) ≈ for the population size at the end of the year 2002.

The percentage of female high school graduates who enrolled in college is given in the table below. Year 1970 1980 1990 2000 2010 College Enrollment Percentages for Females 25.5 30.3 38.3 45.6 50.5 Let a represent time (in years) since 1970, and let y represent the corresponding percentage of female high school graduates who enrolled in college. Find the cubic regression model y = F(x) = ax³ + bx² + cx + d, = where a is rounded to 6 decimal places, b is rounded to 4 decimal places, c is rounded to 3 decimal places, and d is rounded to 1 decimal place.

If x, = 1, x1 = 2 ,x2 = 3 ,X3 = 4 ,x4 = 5, then L2(3)+ L2(4) = %3D Select one: а. 2 b. 1 С. О d. 3

39. (a) d = /(3 – 1)2 + (2 – 4)² = /2² + (–2)² = /8 = 2/2 y 4 + 1 1 4 (b) d = /(2 – 2)2 + (4 – 1)² = /ỹ = 3 4 3 1 1. 3 4 2. 2.