Show that the given set of functions is orthogonal on the indicated interval. find the norm of each function in the set. 1, cos nπ p  x , n = 1, 2, 3, ; [0, p] for m ≠ n p cos nπ p  x cos mπ p  x dx 0 = 1 2 p cos (n − m)π p  x + correct: your answer is correct. dx 0 = correct: your answer is correct. p 0 = correct: your answer is correct. for m = n p cos2 nπ p  x dx 0 = p 1 2 + dx 0 = p 0 = correct: your answer is correct. also p 1 · cos nπ p  x dx 0 = p 0 = and p 12 dx 0 = correct: your answer is correct. p 0 = correct: your answer is correct. so that cos nπ p  x = correct: your answer is correct. and 1 =

idk

step-by-step explanation:

answer: -8.2562234e+13

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is