1. A tract of land has a trapezoidal shape with two parallel sides a and b and the distance between them (i.e trapezoidal height) is h. You are given the following data: a = 125.42 m b = 208.84m h = 44.99m Write the partial derivative equations of the area of the tract with respect to each of the two sides (a and b) and the height (h). Compute the values of these partial derivatives using the data listed above. Make sure you list the units for each computed partial derivative.

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Q: Find the first partial derivatives of the function (2x + 9y)'². = Z dz 1. дх dz 2. ду

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Q: Find the first partial derivatives of the given functions with respect to each independent variable.…

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Q: . Suppose that your best friend has calculated the partial derivatives of a given function f(x,y)…

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Q: 3. Find the partial derivatives du and ou if uw = x sin (y), x = s² +t? and y =;,

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Q: x(z+ 2y)100 = yz – x; Zy and xz.

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Q: Find the first partial derivatives of the function. aw ди aw Əv 11 - - W = er u + v8

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Q: Differentiate implicitly to find the first partial derivatives of z. 3x2 + 11y? + 722 = 64 az ? əx…

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Q: Differentiate implicitly to find the first partial derivatives of w                           x2 +…

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Q: Find the indicated higher partial derivative. a. f(x,y) = 3x5 + 2x³y² + 9xy*; fyxx a²c b. c = In (a…

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Q: find the partial derivatives of the first and second orders z=x/y^2

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Q: 3. z = x+y x-y

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Q: Solve for the second (a) partial and (b) cross partial derivative of the function below own x² + y?…

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Q: B. Find the indicated partial derivatives: af af 7. fls.y) = cn{«-y?), y

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Q: 5. z = yex+x Iny xey-y lnx

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Q: Find the first partial derivatives of the function. x9 - y5 f(x, y) = x + y fy =

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Q: Find the partial derivative. 3p f (p, q) = e af

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Q: If g(x.y) -4+2x %3D then the mixed partial derivative at the point (- 2. is: 8y

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Q: a) By using partial derivatives, calculate the slope of the tangent plane for the following…

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Q: Find the Partial Derivatives of the functions with respect to each variable 4) f(x, y) = x +y²

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Q: Find the first partial derivatives of the given functions. 1. z = x3 – xy? + 3y?

A: SOLUTION-

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Q: 14. f(x, y) = e* sin (x + y)

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