Answer:
I think it is C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given the functions z= (x+4y)e^y, x=u, and y =ln(v)
To get ∂z/∂u and ∂z/∂v, we will use the the composite rule formula:
∂z/∂u = ∂z/∂x•dx/du + ∂z/∂y•dy/du
∂z/∂x means we are to differentiate z with respect to x taking y as constant and this is gotten using product.
∂z/∂x = (x+4y)(0)+(1+4y)e^y
∂z/∂x = (1+4y)e^y
dx/du = 1
∂z/∂y = (x+4y)e^y+(x+4)e^y
dy/du = 0
∂z/∂u = (1+4y)e^y • 1 + 0
∂z/∂u = (1+4y)e^y
For ∂z/∂v:
∂z/∂v = ∂z/∂y• dy/dv
∂z/∂y = (x+4y)e^y+(x+4)e^y •(1/v)
∂z/∂y = {xe^y+4ye^y+xe^y+4e^y}•(1/v)
∂z/∂y = 2xe^y/v+4e^y(y+1)/v
Answer:
B. x + 2y = 8 is your answer.
Step-by-step explanation:
So this is what you do:
y = -1/2x + 4 <u>You are going to add -1/2 to the other side.</u>
y + 1/2x = 4 <u>You are going to multiply the equation by 2.\</u>
B. x + 2y = 8 is your answer.
Answer:
=153 in^2
Step-by-step explanation:
We have a rectangle and a trapezoid
We can add the areas together
The area of the rectangle is
A = l*w where l =16 and w =3
A = 16*3 = 48 in^2
The area of the trapezoid
A = 1/2 (b1+b2)*h where b1 =16, b2=5 and h = 10
A = 1/2 (16+5) *10
= 1/2 (21) *10
=105 in^2
Then we add the areas together
A total = A rectangle + A trapezoid
A total = 48+ 105
=153 in^2
If you would like to solve the equation 2ax - b = cx + d for x, you can do this using the following steps:
2ax - b = cx + d
2ax - cx = d + b
x * (2a - c) = d + b
x = (d + b) / (2a - c)
The correct result is (d + b) / (2a - c).