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3 years ago

Point-slope equation of the line through (6,4) and (7,2)

Mathematics

1 answer:

Monica [59]3 years ago

5 0

Answer:

-2

Step-by-step explanation:

You should use the formula Y2-Y1/X2-X1.

2-4/7-6

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A) Find a particular solution to y" + 2y = e^3 + x^3. b) Find the general solution.

Reptile [31]

Answer:

a.P.I= $\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)$

b.G.S= $C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x}$

Step-by-step explanation:

We are given that a linear differential equation

$y''+2y=e^{3x}+x^3$

We have to find the particular solution

P.I= $\frac{e^{3x}}{D^2+2}+\frac{x^3}{D^2+2}$

P.I= $\frac{e^{3x}}{3^2+2}+\frac{1}{2} x^3(1+\frac{D^2}{2})^{-2}$

P.I= $\frac{e^{3x}}{11}+\frac{1-2\frac{D^2}{4}+3\frac{D^4}{16}+...}{2}x^3$

P.I= $\frac{e^{3x}}{11}+\frac{x^3-2\frac{\cdot3\cdot 2x}{4}}{2}+0}$ (higher order terms can be neglected

P.I= $\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)$

b.Characteristics equation

$D^2+2=0$

$D=\pm\sqrt2 i$

C.F= $C_1cos \sqrt2x+C_2 sin\sqrt2 x$

G.S=C.F+P.I

G.S= $C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x)$

3 0

3 years ago

Meep says meep so what's the meep of the meep

Alex17521 [72]

Answer: ok so meep is gunna meep to the meep power of meep and 6 more meeps

Step-by-step explanation:

i got it right when i looked it up lol

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3 years ago

Can anybody help me plzzzz

melisa1 [442]

SSS I’m pretty sure . I’m doing the same thing in math rn

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2 years ago

kevin is trying to find the height of a tree. he stands 100ft away from the tree and records the angle of elevation to the top o

Morgarella [4.7K]

Answer:

HERES YOUR ASSIGNMENT! I EDITED IT ON MICROSOFT SO THAT I CAN SCREENSHOT IT AND SEND IT TO YOU...I HOPE IT HELPS :)

<h3>ARIGATO OZAIMASU!!!</h3>

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2 years ago

A 340 m wire is cut into three pieces. The second piece is 4 times as long as the first. The third piece is 3 times as long as t

USPshnik [31]

Answer: total length 5780

Step-by-step explanation:

1st wire. 340m

2nd wire. 1360m

3rd wire. 4080

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2 years ago