Read the following information carefully and answer the questions that follow.f(a, b) = (a2 + b2) - abg(a, b) = ab Q 55. Determine the value of [f(a, b) + g(a, b)] at a = 1 and b = 1. Ops: A. -1 B. 2 C. 0 D. 1
Question
Read the following information carefully and answer the questions that follow.f(a, b) = (a2 + b2) - abg(a, b) = ab Q 55. Determine the value of [f(a, b) + g(a, b)] at a = 1 and b = 1. Ops: A. -1 B. 2 C. 0 D. 1
Solution
To solve this problem, we first need to substitute the given values of a and b into the equations for f(a, b) and g(a, b).
Given that a = 1 and b = 1, we can substitute these values into the equations.
First, let's find the value of f(a, b):
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):
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)]:
[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)] = 2
So, the value of [f(a, b) + g(a, b)] at a = 1 and b = 1 is 2. Therefore, the correct answer is B. 2.
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