1. Are the functions f, g and h given below linearly independent?
f(x) = e^3x + cos(7x), g(x) = e^3x − cos(7x), h(x) = cos(7x).
2. If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer.
………...(e^3x−cos(7x)) + ……………….(e^3x+cos(7x)) + …………..(cos(7x))=0.

30005

yes ok                                            

are ya tryin to ask something or is this a statement

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²