Answer:
Step-by-step explanation:
To multiply with 2 we must make 2 a fraction by placing a one under it:
Now multiply the top numbers together and the bottom numbers together:
Lastly, we reduce the fraction:
Answer:
1/2 or one half
Step-by-step explanation:
Answer:
The equation for the line that passes through the points (4,8) and (6,2)
is y + 3 x -20 = 0
Step-by-step explanation:
Here, the given points are (4,8) and (6,2)
So, the slope of the equation joining two points is
⇒Slope of the given line is m = -3
Now, by POINT SLOPE FORMULA:
Equation of a line is (y - y0) = m (x-x0)
Here, equation of the line with (x0, y0) = (6,2) is
y - 2 = (-3)(x - 6)
or, y -2 = -3x + 18
⇒ y+ 3x -20 = 0
Hence, the equation for the line that passes through the points (4,8) and (6,2) is y+ 3x -20 = 0
Answer:
<em>f(3.022 , 5.992 , 5.972)=80.7</em>
Step-by-step explanation:
<u>Linearization of Multivariable Functions</u>
Let f be a function that depends on the independent variables (x,y,z) and assume the following partial derivatives exist:
The function f can be linearized around a known point (xo,yo,zo) by the equation:
Given
Evaluating in (3,6,6)
The partial derivatives are
Evaluating at (3,6,6)
Evaluating at (3,6,6)
Evaluating at (3,6,6)
The linearization of f is
Operating
Using the linearization to find f(3.022 , 5.992 , 5.972)