2 years ago

What is the solution of log (3x+2) = log2 (4x-6)? 08 0-6 08 9

Mathematics

1 answer:

grin007 [14]2 years ago

5 0

Answer:

The answer is 8.

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Evaluate the line integral, where C is the given curve. C (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to

Bess [88]

Parameterize the first line segment $C_1$ by

$\vec r(t)=(1,0,1)(1-t)+(2,4,1)t=(1+t,4t,1)$

and the second line segment $C_2$ by

$\vec s(t)=(2,4,1)(1-t)+(2,6,4)t=(2,4+2t,1+3t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_{C_1}(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz$

$\displaystyle=\int_0^1\bigg((1+5t)\cdot1+2(1+t)\cdot4+(1-t)4t\cdot0\bigg)\,\mathrm dt$

$=\displaystyle\int_0^1(9+13t)\,\mathrm dt=\frac{31}2$

and

$\displaystyle\int_{C_2}(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz$

$\displaystyle=\int_0^1\bigg((2+(4+2t)(1+3t))\cdot0+2(2)\cdot2+2(4+2t)(1+3t)\cdot3\bigg)\,\mathrm dt$

$\displaystyle=\int_0^1(32+84t+36t^2)\,\mathrm dt=86$

Then

$\displaystyle\int_C(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz=\frac{31}2+86=\boxed{\frac{203}2}$

5 0

3 years ago

Use a graphing tool to solve the system. {13x+6y=−30x−2y=−4 Which ordered pair is the best estimate for the solution to the syst

Gnoma [55]

13x+6y = -30................y = -5 -13x/6
x−2y=−4...................... y = x/2 +2 

If we graph both lines we can get the solution of the system (point of intersection)

The best estimate is (x,y) = (-2.625, 0.688)

8 0

2 years ago

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Please help me! I'm confused. Also, do not put any nonsense answers please. Thanks!

Nonamiya [84]

Answer:

good luck cause i dont know

Step-by-step explanation:

heheh

7 0

2 years ago

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Which number satisfies the inequality 12n < 3n+28 A) 3 B) 4 C) 5 D) 6

DiKsa [7]

Your answer would be (A)

3 0

2 years ago

33% X$90 rounded up to thr next highest dollar minus one cent

ivann1987 [24]

33% times 90 would be $29.7

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3 years ago