Read the following information carefully and answer the questions that follow.f(a, b) = (a2 + b2) - abg(a, b) = ab Q 56. Determine the value of [f(a, b) - g(a, b)] at a = 1 and b = 1. Ops: A. 0 B. 1 C. -1 D. 2
Question
Read the following information carefully and answer the questions that follow.f(a, b) = (a2 + b2) - abg(a, b) = ab Q 56. Determine the value of [f(a, b) - g(a, b)] at a = 1 and b = 1. Ops: A. 0 B. 1 C. -1 D. 2
Solution
To solve this problem, we first need to substitute the values of a and b into the functions f(a, b) and g(a, b).
First, let's find the value of f(a, b) when a = 1 and b = 1.
f(a, b) = (a^2 + b^2) - ab f(1, 1) = (1^2 + 1^2) - 1*1 f(1, 1) = (1 + 1) - 1 f(1, 1) = 2 - 1 f(1, 1) = 1
Next, let's find the value of g(a, b) when a = 1 and b = 1.
g(a, b) = ab g(1, 1) = 1*1 g(1, 1) = 1
Finally, let's find the value of [f(a, b) - g(a, b)] when a = 1 and b = 1.
[f(a, b) - g(a, b)] = f(1, 1) - g(1, 1) [f(a, b) - g(a, b)] = 1 - 1 [f(a, b) - g(a, b)] = 0
So, the value of [f(a, b) - g(a, b)] at a = 1 and b = 1 is 0. Therefore, the correct answer is A. 0.
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