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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the differential dy and evaluate dy for the given values of x and dx. y = √(1 - x), x = 0, dx = 0.02
Solution:
Given: The differential equation is y = √(1 - x)
Differentiating on both the sides
dy = 1/2√(1 - x) × (-1)dx
But given x = 0 and dx = 0.02
dy = 1/2(1 - 0) × (-1)0.02
dy = -1/2 × 0.02
dy = -0.01
Therefore, dy = -0.01 if y = √(1 - x), x = 0, dx = 0.02
Find the differential dy and evaluate dy for the given values of x and dx.y = √(1 - x), x = 0, dx = 0.02
Summary:
If y = √(1 - x), x = 0, dx = 0.02 then dy = -0.01.
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