Let f(x) = 5x 2, (x) = 5x 3x 2, (x) = 10x + 3x +…

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Let f₁(x) = 5x – 2, ƒ₂(x) = 5x² – 3x − 2, ƒ³(x) = 10x² + 3x + 5, and ƒ4(x) = −4x – 8.

Suppose a f₁(x) + bƒ2(x) + cƒ3(x) + dƒ₁(x) = 0.

Differentiate to produce another equation that is satisfied by a, b, c, d.

Differentiate again to produce another equation that is satisfied by a, b, c, d.

Use your system of equations to find a solution to a f₁(x) + bƒ2(x)+cƒ3(x) + dƒ₁(x) = 0. This part will

be graded after the due date.

Edit ▾ Insert Formats BIU X₂

블

Σ C & R

2- €

▼

A

A <>

Suppose you have a set of functions g₁(x), 92(x), 93(x), 94(x). How could you determine whether

ag₁(x) + bg₂(x) + cg3(x) + dg4(x) = 0

دی

Σ+ Σ ΑΗ

has nontrivial solutions? (In particular: How could you find a system of equations that would allow you to

decide whether nontrivial solutions existed?) This part will be graded after the due date.

Edit Insert Formats BI I U x₂ x² A A

= = =

= ▼ € ◄ E

N

Σ+ Σ Α

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