The value of zu(1,3) using the data elements represented on the table of values is q + p
How to solve the calculus expression?
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:
[tex]z_u(1,3) = f_x(x,y) * x_u(1,3) + f_y(x,y) * y_u(1,3)[/tex]
The values x(1, 3) = 2 and y(1, 3) = 2 mean that:
(x,y) = (2,2).
So, we have:
[tex]z_u(1,3) = f_x(2,2) * x_u(1,3) + f_y(2,2) * y_u(1,3)[/tex]
From the table of values, we have:
[tex]f_x(2,2) = q[/tex]
[tex]x_u(1,3) = 1[/tex]
[tex]f_y(2,2) = 1[/tex]
[tex]y_u(1,3) = p[/tex]
So, the equation becomes
[tex]z_u(1,3) = q * 1 + 1 * p[/tex]
Evaluate the product
[tex]z_u(1,3) = q + p[/tex]
Hence, the value of zu(1,3) is q + p
Read more about calculus at:
https://brainly.com/question/5313449
#SPJ1
