Let . The tangent plane to the surface at (0, 0, 8) is
The gradient is
so the tangent plane's equation is
The normal vector to the plane at (0, 0, 8) is the same as the gradient of the surface at this point, (1, 1, 1). We can get all points along the line containing this vector by scaling the vector by , then ensure it passes through (0, 0, 8) by translating the line so that it does. Then the line has parametric equation
or , , and .
(See the attached plot; the given surface is orange, (0, 0, 8) is the black point, the tangent plane is blue, and the red line is the normal at this point)
Answer:
x= ± +2
Step-by-step explanation:
Use the formula ( b/2) ^2 in order to create a new term. Solve for x by using this term to complete the square.
x= ± +2
Hey!
To solve this equation, we'd first have to apply the distributing rule to this equation.
<em>Original Equation :</em>
<em>New Equation {Changed by Applying the Distribution Rule} :</em>
· 3a · 2 +
And now we simplify.
<em>Old Equation :</em>
· 3a · 2 +
<em>New Equation {Old Equation Simplified} :</em>
- 12a + 4
<em>So, the equation
simplified is</em>
- 12a + 4.Hope this helps!
- Lindsey Frazier ♥
Answer:
I dont even want to answer this cause I know its a joke
Step-by-step explanation:
5+5=10