Write as a Vector Equality P=1/4q^2+10 , P=86-6q-3q^2

Problem

P=1/4*q2+10,P=86−6*q−3*q2

Solution

1. Identify the components of the vector P by treating the two given expressions as the coordinates of a vector in ℝ2

2. Define the vector P as a column vector or a coordinate pair where the first component is the first equation and the second component is the second equation.

3. Express the relationship as a single vector equality by grouping the terms dependent on q and the constant terms.

Final Answer

P=[[1/4*q2+10],[86−6*q−3*q2]]

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