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LUCKY_DIMON [66]
2 years ago
12

Given z=f(x,y),x=x(u,v),y=y(u,v), with x(1,3)=2 and y(1,3)=2, calculate zu(1,3) in terms of some of the values given in the tabl

e below.

Mathematics
1 answer:
stich3 [128]2 years ago
3 0

The value of zu(1,3) using the data elements represented on the table of values is q + p

<h3>How to solve the calculus expression?</h3>

The given parameters are:

z = f(x, y)

x = x(u, v)

y = y(u, v)

Where

x(1, 3) = 2 and y(1, 3) = 2

To calculate zu(1,3), we make use of:

z_u(1,3) = f_x(x,y) * x_u(1,3) +  f_y(x,y) * y_u(1,3)

The values x(1, 3) = 2 and y(1, 3) = 2 mean that:

(x,y) = (2,2).

So, we have:

z_u(1,3) = f_x(2,2) * x_u(1,3) +  f_y(2,2) * y_u(1,3)

From the table of values, we have:

f_x(2,2) = q

x_u(1,3) = 1

f_y(2,2) = 1

y_u(1,3) = p

So, the equation becomes

z_u(1,3) = q * 1 +  1 * p

Evaluate the product

z_u(1,3) = q + p

Hence, the value of zu(1,3) is q + p

Read more about calculus at:

brainly.com/question/5313449

#SPJ1

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