HEL PL How many prime numbers p are there for which there exists a prime number q satisfying p + q = 2019?

a) 0

b) 1

c) 2

d) 3

e) 4

Express the following as a function of a single angle, cos(60) cos(-20) - sin(60) sin(-20)

List x1, x2, x3, x4 where xi is the left endpoint of the four equal intervals used to estimate the area under the curve of f(x) between x = 4 and x = 6. a 4, 4.5, 5, 5.5 b 4.5, 5, 5.5, 6 c 4.25, 4.75, 5.25, 5.75 d 4, 4.2, 5.4, 6

Find the maximum value of p= 4x + 5y subject to the following constraints :