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3 years ago

1) Find the quotient:(2x4 - 3x2 - 1) = (x - 1)

Mathematics

1 answer:

BARSIC [14]3 years ago

4 0

Answer:

The answer is 2!!!

Step-by-step explanation:

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3 years ago

I made 12 dog treats using 1 cup of peanut butter. If I want to make 36 dog treats, how much peanut butter will I need? Write a

MaRussiya [10]

Answer:

You will need 3 cups peanut butter to make 36 dogs treats.

Peanut butter Cup : The dog treats made = 1: 12

Step-by-step explanation:

12 dog treats = 1 cup

So, by UNITARY METHOD

1 dog treat = (1/12) cup

So, 36 dog treats = 36 x (1/12) cup = 3 cups

So, you will need 3 cups peanut butter to make 36 dogs treats.

If 1 cup = 12 Dog Treats

then 1 x 3 cup = 12 x 3 dog treats

or, 3 Cups = 36 dog treats

The ratio of the Peanut butter cup : The dog treats made = 1: 12

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3 years ago

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

Please help you get alot of points

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1) Find the quotient:(2x4 - 3x2 - 1) = (x - 1)​

1) Find the quotient:(2x4 - 3x2 - 1) = (x - 1)