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3 years ago

3. What is the slope of the line through the points (2, 5) and (6, 13)?

Mathematics

1 answer:

White raven [17]3 years ago

8 0

Answer:

m = 2

Step-by-step explanation:

$m=\frac{rise}{run}=\frac{13-5}{6-2}=\frac{8}{4}=\boxed{2}$

Hope this helps.

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What is 1 1/3 x 1 3/4

Maksim231197 [3]

Answer:

Step-by-step explanation:

I like to convert them to improper fractions first, so that will make 1 1/3 turn into 4/3, and 1 3/4 into 7/4, then multiply and you get 28/12 or 7/3 simplified

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3 years ago

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lukranit [14]

Answer: 3

Step-by-step explanation:

Take your equation x-1=2

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Gnoma [55]

Step-by-step explanation:

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3 years ago

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2 years ago

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

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3 years ago