Answer:
f(x) = √(x+1) -2
Step-by-step explanation:
Since you're working with transformed functions, you know that replacing x with x-a in f(x) will translate the graph "a" units to the right. You also know that adding "b" units to the function value will translate the graph "b" units upward.
Here, the graph of f(x) = √x has been translated 1 unit to the left (a=-1) and 2 units down (b=-2). So, the transformed function is ...
f(x) = √(x-(-1)) + (-2)
f(x) = √(x+1) -2 . . . . . . simplify
Answer:
x = 5
or
x = 3
Step-by-step explanation:
The first term is, x2 its coefficient is 1 .
The middle term is, -8x its coefficient is -8 .
The last term, "the constant", is +15
Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15
Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .
-15 + -1 = -16
-5 + -3 = -8
Answer:
Ex = - 4 + 14xy
Ey = 7x² - 7z²
Ez = -14yz
Step-by-step explanation:
The relationship between Electric field Er(x, y, z) and Electric potential, V, is a differential relationship:
Er(x, y, z) = -dV/dr(x, y, z)
Where r(x, y, z) = distance in x, y and z components.
The x component of the electric field is:
Ex = -dV/dx
Given that:
V = 4x - 7x²y + 7yz²
Ex = -dV/dx
Ex = -(4 - 14xy)
Ex = -4 + 14xy
The y component of the electric field is:
Ey = -dV/dy
Ey = -(-7x² + 7yz²)
Ey = 7x² - 7z²
The z component of the electric field is:
Ez = -dV/dz
Ez = -(14yz)
Ez = -14yz
