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A: Note: Every options given by the question are incorrect. I am 100% sure about it. The correct…
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A: We want to find second order partial derivatives.
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A: Explanation of the answer is as follows
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A: Note: According to our expert guidelines only first individual question is to be answered kindly…
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A: SOLUTION-
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A: Topic:- application of integration
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Q: The diversity of a population that contains two species can be measured by the Gini-Simpson…
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A: This question can be solved using the concept of distance formula.
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A: Let's prove that given series is converges or not.
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A: You must have basic idea about indefinite integral in order to understand this better.
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- Indicate the degree and determine the solution of the following equations. Homogeneous DE 1. 2(2x² + y²)dx - xy dy=0 when x = 1, y = 1/2Show that the equation is homogeneous and find its solution. (x2 + 3xy + y2) dx - x2 dy = 0Use the method of separation of variables, find the solution u(x,t) for the following heat conduction equation in a thin metallic rod where both ends are held at the constant temperature of zero.
- B- Solve fol j'; foy(Zx + 3z —y).dz dy.dxSolve the formula for the indicated variable. Mechanics F = mv2 / R for RThe amount of time it takes for a pendulum to swing “to-and-fro” through one complete cycleis called the “period” and is calculated using the following equation:T = 2 π L g whereT = period in secondsL = length of pendulumg = gravitational acceleration, 9.8 m/s2What is the appropriate unit for L if the preceding equation is to be homogeneous in units?