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3 years ago

A car traveled 180 miles at a constant rate.

Mathematics

1 answer:

ddd [48]3 years ago

7 0

I think answer should be the first one I hope this helps let me know if it’s correct or not okay thanks bye bye

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Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

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3 years ago

What is -4x+5y if x is 3 and y is 5

klasskru [66]

The answer is 13 hope this helps

6 0

3 years ago

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Need help ASAP. Question in photo. Will mark brainliest if correct

ioda

Answer:

Step-by-step explanation:

I did this question today, pls lmk if u get it right

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3 years ago

How much longer is 108 inches from 98 inches

WARRIOR [948]

Answer:

b.10 inches

Step-by-step explanation:

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neveah and jason stopped by a restaurant to eat neveah purchased 2 hotdogs and 1 drink for $3.75 jason purchased 3 hotdogs and 2

RoseWind [281]

Answer:

2x + y = 3.75

3x + 2y = 6

Step-by-step explanation:

x = cost of 1 hot dog

y = cost of 1 drink

Neveah: 2x + y = 3.75

Jason: 3x + 2y = 6

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3 years ago