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3 years ago

Help plss it’s hard.....

Mathematics

1 answer:

OleMash [197]3 years ago

3 0

It should be 0:20 since there’s no shaded boxes but there is no answer like that

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Suppose \nabla f (x,y) = 3 y \sin(xy) \vec{i} + 3 x \sin(xy)\vec{j}, \vec{f} = \nabla f(x,y), and c is the segment of the parabo

Anna11 [10]

I'll assume you're supposed to compute the line integral of $\nabla f$ over the given path $C$ . By the fundamental theorem of calculus,

$\displaystyle\int_C\nabla f(x,y)\cdot\mathrm d\vec r=f(4,48)-f(1,3)$

so evaluating the integral is as simple as evaluting $f$ at the endpoints of $C$ . But first we need to determine $f$ given its gradient.

We have

$\dfrac{\partial f}{\partial x}=3y\sin(xy)\implies f(x,y)=-3\cos(xy)+g(y)$

Differentiating with respect to $y$ gives

$\dfrac{\partial f}{\partial y}=3x\sin(xy)=3x\sin(xy)+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=0\implies g(y)=C$

and we end up with

$f(x,y)=-3\cos(xy)+C$

for some constant $C$ . Then the value of the line integral is $-3\cos192+3\cos3$ .

8 0

4 years ago

zheka24 [161]

Could I see the shape? I don’t think you uploaded the image to see the shape above.

6 0

3 years ago

Kyle has a storage box that is 2 feet long, 3 feet high, and has a volume of 12 feet 3.

Greeley [361]

Answer:

you multiply the length and height, then, you figure out what you multiply to get the volume by dividing the product of the length and height multiplied.

Step-by-step explanation:

ex: kyle

2x3=6

6x?=12

6/12=2

3 0

3 years ago

Question 7 of 10

Vlada [557]

Since the lines are parallel then
x and 120 are alternate angles and congruent, hence
x = 120 → C

7 0

3 years ago

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The table shows the relationship between y, the cost to rent a boat, and x, the mount of

VladimirAG [237]

Answer: A

Step-by-step explanation:It shows the correct graph

5 0

3 years ago

Read 2 more answers