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Brilliant_brown [7]
3 years ago
11

Help me with these will mark!

Mathematics
1 answer:
Ksju [112]3 years ago
8 0
Answer: 125/168

Explanation
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Let f be a function of two variables that has continuous partial derivatives and consider the points
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Answer:

The directional derivative of f at A in the direction of \vec{u} AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector \vec{u}=(a,b) is denoted by D\vec{u}f(x,y),

D\vec{u}f(x,y)=f_{x}\left ( x ,y\right ).a+f_{y}(x,y).b.

Now the given points are

A(8,9),B(10,9),C(8,10) and D(11,13),

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

\vec{u}_{AB} = \frac{AB}{\left \| AB \right \|}=(1,0)

AC=(8-8,10-9), the direction is

\vec{u}_{AC} = \frac{AC}{\left \| AC \right \|}=(0,1)

AC=(11-8,13-9), the direction is

\vec{u}_{AD} = \frac{AD}{\left \| AD \right \|}=\left (\frac{3}{5},\frac{4}{5}  \right )

Step 3:

The given directional derivative of f at A \vec{u}_{AB} is 9,

D\vec{u}_{AB}f=f_{x} \cdot 1 + f_{y}\cdot 0\\f_{x} =9

The given directional derivative of f at A \vec{u}_{AC} is 2,

D\vec{u}_{AB}f=f_{x} \cdot 0 + f_{y}\cdot 1\\f_{y} =2

The given directional derivative of f at A \vec{u}_{AD} is

D\vec{u}_{AD}f=f_{x} \cdot \frac{3}{5} + f_{y}\cdot \frac{4}{5}

D\vec{u}_{AD}f=9 \cdot \frac{3}{5} + 2\cdot \frac{4}{5}

D\vec{u}_{AD}f= \frac{27+8}{5} =7

The directional derivative of f at A in the direction of  \vec{u}_{AD} is  7.

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3 years ago
Can someone help me please I really need better grades<br>​
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Answer:

Choose answers: A, C, D

Step-by-step explanation:

It is simply arithmetic. Multiply out the exponents.

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Answer:

6×+÷3=2+4×=6

3x 8x+6 =8×+y1×-2

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Liam ran 4 times around a circular track and did 100 jumping
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Answer:

the one complete circuit of the track is 600 meters

Step-by-step explanation:

divide the 2.4 kilometers by 4 which gives you your answer.

2.4 kilometers = 2,400 meters

2,400/4 = 600

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A scatter plot or also called the scatter graph, chart or diagram is a type of plot or mathematical diagram using Cartesian coordinates to display value for typically two variables for set of data. Base on that fact, the possible answer to your question is letter D. Scatter plot can be used to represent quantitative data 
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