3 years ago

Can you guys please help me I really need to past this ASAP thank you!!!

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

7 0

Answer: ???

Step-by-step explanation: what do you need help with

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Section 5.2 Problem 17:

Elina [12.6K]

This DE has characteristic equation

$4r^2 - 12r + 9r = (2r - 3)^2 = 0$

with a repeated root at r = 3/2. Then the characteristic solution is

$y_c = C_1 e^{\frac32 x} + C_2 x e^{\frac32 x}$

which has derivative

${y_c}' = \dfrac{3C_1}2 e^{\frac32 x} + \dfrac{3C_2}2 x e^{\frac32x} + C_2 e^{\frac32 x}$

Use the given initial conditions to solve for the constants:

$y(0) = 3 \implies 3 = C_1$

$y'(0) = \dfrac52 \implies \dfrac52 = \dfrac{3C_1}2 + C_2 \implies C_2 = -2$

and so the particular solution to the IVP is

$\boxed{y(x) = 3 e^{\frac32 x} - 2 x e^{\frac32 x}}$

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2 years ago

Find three consecutive integers whose sum is six times the greater integer

Zepler [3.9K]

3 times 6 18 and do that 6 times add

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3 years ago

What is 37/12 as a mixed number?

mixer [17]

1 and one - twelfth
because 12gies 3 times in 37

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3 years ago

A pentagonal prism is cut be a plane perpendicular to the base . What is the shape of the cross section that is formed?

Allisa [31]

Answer:

Step-by-step explanation:

The cross section will have the same shape as the base of the pentagonal prism; the dimensions will be proportionally smaller.

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3 years ago

Find the sum of 1/6and 7/12 in lowest terms.

disa [49]

Answer:3/4

Step-by-step explanation:

Multiply 1/6 by 2 to get 2/12 and then add that to 7/12 and get 9/12

If you simplify that you end up with 3/4

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3 years ago

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