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The function y = 5x2 – 32x has a local minimum in the interval (0,10).
  • a)
    x = 1
  • b)
    x = 2
  • c)
    x = 3.2
  • d)
    No local minimum
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The function y = 5x2 – 32x has a local minimum in the interval (...
let f(x) = 5x2 – 32x
f '(x) = 10x – 32
10x – 32 = 0
f"(x) for x = 3.2 and f'(x)<0 for x >3.2 .
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Most Upvoted Answer
The function y = 5x2 – 32x has a local minimum in the interval (...
The function y = 5x² represents a quadratic function. The variable x represents the input or independent variable, and the variable y represents the output or dependent variable. This function describes a parabola that opens upward and has a vertical stretch factor of 5. The exponent of 2 indicates that the variable x is squared, meaning that the function is quadratic.
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The function y = 5x2 – 32x has a local minimum in the interval (0,10).a)x = 1b)x = 2c)x = 3.2d)No local minimumCorrect answer is option 'C'. Can you explain this answer?
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