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2 years ago

What is f(-3) for the function f(a)=-2a?-5a+4?

Mathematics

1 answer:

Olegator [25]2 years ago

8 0

Answer:

Step-by-step explanation:

f(-3)=2(-3)-5(-3)+4. = -6+15+4= 13. f(a)=13

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Use the graph of the function to find the domain of f. (Enter your answer using interval notation.).

Ulleksa [173]

Answer:

Domain: (-∞,0) ∪ [0,∞)

Range: [-3,∞)

f(0) = -3

6 0

3 years ago

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

Need help with homework independent practice lesson 5 negative exponents

adell [148]

What's the problem you need help with

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3 years ago

Can a remainder in a division problem equal the divisor

Rufina [12.5K]

Well the answer is No.A remainder will always be smaller than the divisor ,because the divisor is the one that used to divide the dividend and the remaining number that cannot be divided by the divisor is called the remainder.
Questions?

6 0

3 years ago

Please help me solve this !<br> will mark brainliest !<br> (spammers reported)

lions [1.4K]

Answer

-10

Step-by-step explanation:

-8w-7=9

add 7 to both sides

-8w=16

divide by negative 8 on both sides

w=-2

w-8=-10

3 0

3 years ago

Read 2 more answers