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zaharov [31]
3 years ago
10

A set of named constants that start with the value 0 for the first constant and increment by 1 for each subsequent constant can

be declared as a(n) ________.
Mathematics
1 answer:
evablogger [386]3 years ago
7 0

Answer:

Enum

Step-by-step explanation:

A set of named constants that start with the value 0 for the first constant and increment by 1 for each subsequent constant can be declared as a(n) enum.

Enums are lists of constants. Enums are used to represent predefined list of values that do not represent any kind of numerical or textual data.

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Set up but do not solve for the appropriate particular solution yp for the differential equation y′′+4y=5xcos(2x) using the Meth
taurus [48]

Answer:

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

Step-by-step explanation:

We have the given differential equation: y′′+4y=5xcos(2x)

We use the Method of Undetermined Coefficients.

We first solve the homogeneous differential equation y′′+4y=0.

y''+4y=0\\\\r^2+4=0\\\\r=\pm2i\\\\

It is a homogeneous solution:

y_h(t)=c_1e^{-2i t}+c_2e^{2i t}

Now, we finding a particular solution.

y_p(t)=A5x\cos 2x\\\\y'_p(t)=A5\cos 2x-A10x\sin 2x\\\\y''_p(t)=-A20\sin 2x-A20x\cos 2x\\\\\\\implies y''+4y=5x\cos 2x\\\\-A20\sin 2x-A20x\cos 2x+4\cdot A5x\cos 2x=5x\cos 2x\\\\-A20\sin 2x=5x\cos 2x\\\\A=-\frac{x}{4} \cot 2x\\

we get

y_p(t)=A5\cos 2x\\\\y_p(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x\\\\\\y(t)=y_p(t)+y_h(t)\\\\y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

So, solution of  the differential equation is

y(t)=-\frac{5x^2}{4}\cot 2x\cdot \cos  2x+c_1e^{-2it}+c_2e^{2it}\\

7 0
3 years ago
Evaluate the indefinite integral. (remember to use absolute values where appropriate. use c for the constant of integration.) dx
Karo-lina-s [1.5K]
:) Well, I dunno about anyone else but this question makes my head spin!
7 0
3 years ago
McKenzie makes and sells quilts at an art fair. The materials for each quilt cos t$30.50. She sells the quilts for $80. If "n" r
Nitella [24]

Answer:

Total profits = 49.50n

Step-by-step explanation:

Cost of each quilt = $30.50

Selling price of each quilt = $80

Profits = selling price - cost price

= $80 - $30.50

= $49.50

Profits = $49.50

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Total profits = profits of each quilt × number of quilt sold

= $49.50 × n

= 49.50n

Total profits = 49.50n

4 0
3 years ago
Please help would me the world to me . also please do not be mean about it I'm having trouble​
xxTIMURxx [149]

Answer:

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3 0
3 years ago
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lukranit [14]

Answer:

A is the correct equation

Step-by-step explanation:


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