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Inessa05 [86]
3 years ago
15

Help Fast !!!!!!!!!! Please

Mathematics
1 answer:
liraira [26]3 years ago
6 0
90 yards= 3/4 let d be the distance. (3/4)d=90 Then solve by dividing both sides by d.
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Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your
BaLLatris [955]

f(x,y)=\dfrac{y^3}x

a. The gradient is

\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath

\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}

b. The gradient at point P(1, 2) is

\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}

c. The derivative of f at P in the direction of \vec u is

D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}

It looks like

\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath

so that

\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2

Then

D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}

\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}

7 0
3 years ago
What percent is 88 of 106?Show your work.
77julia77 [94]
88/106 x 100
.830188679 x 100
83.02%

3 0
3 years ago
Read 2 more answers
Use the picture provided to figure out the combination.
AlladinOne [14]

Answer:

4223?

Step-by-step explanation:

i need morw context

4 0
2 years ago
Will give brainliest
lianna [129]

Answer:

40⁰

Step-by-step explanation:

<em><u>Main</u></em><em><u> </u></em><em><u>principles</u></em><em><u>:</u></em>

1.Alternate angles equal

2.Vertically opposite angles are equal

If angle 2 is 40⁰, then using the second principle,angle 3 is also 40⁰

Then, using the first principle,(alternate angles/angles that form any variation of "z"), angle 6 is also 40⁰.

There are other ways to do this like using co-interior angles, straight angles and other methods, these are the easiest to understand

6 0
3 years ago
Read 2 more answers
There are 50 pennies in a roll how many pennies are in a 6rolls
Viktor [21]
300 pennies multiply 6×50=300
7 0
3 years ago
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