Suppose that z is a linear function of x and y with slope 2 in the x-direction and slope 3 in the y-direction. (a) a change of 0.5 in x and −0.1 in y produces what change in z?

Answer = 0.7

Solution -

Similar to linear functions of one variable, we have the Slopes - Intercept Formula for a linear function of two variables given by,

⇒ z  =  m₁x+m₂y+c

where

m₁ = slope in X direction = 2

m₂ = slope in Y direction = 3

c = c is the z-intercept of the plane defined by the equation.

Taking the derivatives of both sides

⇒ dz = m₁dx + m₂dy

dx = change in x = 0.5

dy = change in y = -0.1

Putting all the values in the equation

⇒ dz = 2×0.5 + 3(-0.1) = 0.7

Hence, change in z = 0.7

step-by-step explanation:

5×5×5+2(8)÷2(2)+3(3)

15+16÷4+9

31÷13

do 31÷13 and u will get ur answer

f(x)=2/3x+4/3 is the answer because is whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation: