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4 years ago

Ritz can eat 8 apples in 15 minutes. How long does it take to eat 16 apples at same rate?

Mathematics

1 answer:

lilavasa [31]4 years ago

5 0

30 minutes it’s just the numbers of Apple times 2

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

Sergeu [11.5K]

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

What is 656,32.25 in expanded form

maks197457 [2]

65,632.25 in expanded form is : 60,000 + 5,000 + 600 + 30 + 5 + .2 + .05

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3 years ago

Giving brainliest!!!!!!!!!!

crimeas [40]

It’s C. hope this helped and good luck !!

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3 years ago

Read 2 more answers

Factor the trinomial in to 2 sets of parentheses <br> 12a squared minus 13a minus 35

Juliette [100K]

It can't be factored because there are no 2 numbers that when you multiply you get 35 and when you add you get 13.

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3 years ago

Plot the line for the equation on the graph. y−4=−14(x−5)

Kitty [74]

Answer:

Step-by-step explanation:

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3 years ago