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3 years ago

Write a point-slope equation for the line that has slope 4 and passes through the point (11,7). Do not use parentheses on the y

side.

Mathematics

1 answer:

adelina 88 [10]3 years ago

6 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ 11 &,& 7~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 4
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-7=4(x-11)$

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Answer:

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Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

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And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

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fₓ = ∂f/∂x = 4x = 4

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∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

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3 years ago

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If you would like to know how many tortes are left, you can calculate this using the following steps:

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