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kakasveta [241]
3 years ago
6

PLEASE HELP ASAP!!!

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0
2x^2 - 7x - 6 = 0

x1 = \frac{- b  +  \sqrt{ {b}^{2} - 4ac }}{2a}
x2 = \frac{- b   -   \sqrt{ {b}^{2} - 4ac }}{2a}
where a=2
where b=-7
where c=-6

solve for x1 and x2

x1=4.21
x2=-0.71
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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

6 0
3 years ago
What kind of transformation is this?
neonofarm [45]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
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Can someone help me please and show work thank you
VladimirAG [237]

Answer:

60% decrease

Step-by-step explanation:

To work out percentage change you takeaway the original number by the new number (New number-Original number) in this case 24-60=(-36), then divide the decreased amount by the original number and multiply the answer by 100 (Decrease amount ÷ Original number x 100) for this question you'd do (-36)÷60=(-0.6) then (-0.6)x100=(-60).

The minus shows its a decrease in percentage by 60%

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6 0
3 years ago
Is 2/5 greater than 0.55
34kurt
No because 2/5 is .40
5 0
3 years ago
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Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT APPLY
Taya2010 [7]

Answer:

A) 26

E) 12

Step-by-step explanation:

11x ≥ 132

x ≥ 12

The solution set would include numbers greater than or equal to 12

3 0
3 years ago
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