Solving Linear Function Homework: z=? for x,y Change & z=? for x,y Values

  • Thread starter Thread starter KTiaam
  • Start date Start date
  • Tags Tags
    Function Linear
KTiaam
Messages
53
Reaction score
1

Homework Statement


Suppose that z is a linear function of x and y with slope -1 in the x direction and slope 4 in the y direction.

Part a)
A change of −0.1 in x and 0.3 in y produces what change in z?
z = ?

Part b)
If z=5 when x=7 and y=6, what is the value of z when x=7.1 and y=5.7?
z = ?

Homework Equations

The Attempt at a Solution



I really do not know where to start with this problem.
Maybe setting a system of equations and solving for z?
What does the "with slope -1 in the x direction and slope of 4 in the y direction" mean?Any help to start this problem with help me thank you.
 
Physics news on Phys.org
KTiaam said:

Homework Statement


Suppose that z is a linear function of x and y with slope -1 in the x direction and slope 4 in the y direction.

Part a)
A change of −0.1 in x and 0.3 in y produces what change in z?
z = ?

Part b)
If z=5 when x=7 and y=6, what is the value of z when x=7.1 and y=5.7?
z = ?

Homework Equations

The Attempt at a Solution



I really do not know where to start with this problem.
Maybe setting a system of equations and solving for z?

What does the "with slope -1 in the x direction and slope of 4 in the y direction" mean?
What does the phrase "z is a linear function of x and y" mean to you? That's an important part of this problem.
KTiaam said:
Any help to start this problem with help me thank you.
 
Δz = Δx +Δy
 
Mark44 said:
What does the phrase "z is a linear function of x and y" mean to you? That's an important part of this problem.
KTiaam said:
Δz = Δx +Δy
That's not what it means.
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Proof given ##x < y < z## and a twice differentiable function
Replies
8
Views
1K
Find the constrained maxima and minima of ##f(x,y,z)=x+y^2+2z##
Replies
2
Views
1K
Is f(z) =(1+z)/(1-z) a real function?
Replies
17
Views
3K
Lagrange multipliers understanding
Replies
8
Views
2K
Prove that any function z = f(x + y) solves the equation z'x - z'y = 0
Replies
8
Views
2K
Probability density function of Z=X+Y and Z=XY
Replies
19
Views
4K
Condition for f(x,y,z) = f(x,y,z(x,y)) being extremized
Replies
15
Views
2K
Verify that the sum of three quantities x, y, z
Replies
10
Views
2K
How to Interpret the Basic Logic Problem with Predicate P(x,y,z)
Replies
2
Views
1K
Finding Specific Extrema when grad(F)=constant & Lagrange Gives y=-z/2
Replies
10
Views
1K

Hot Threads

Recent Insights

Back
Top