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notsponge [240]
4 years ago
11

Determine if the following statements are true or false

Mathematics
1 answer:
shutvik [7]4 years ago
8 0

Answer:

f(-2)=6. True

f(0)=4. True

f(-3)=f(3). True

f(-4) < f(0). False

3f(3) > 20. True  3f(3) = 3(9/2+4) = 3(4.5+4) = 3(8.5) = 25.5

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Inveres laplace transform (3s-14)/s^2-4s+8​
Olenka [21]

Complete the square in the denominator.

s^2 - 4s + 8 = (s^2 - 4s + 4) + 4 = (s-2)^2 + 4

Rewrite the given transform as

\dfrac{3s-14}{s^2-4s+8} = \dfrac{3(s-2) - 8}{(s-2)^2+4} = 3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}

Now take the inverse transform:

L^{-1}_t\left\{3\times\dfrac{s-2}{(s-2)^2+2^2} - 4\times\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3L^{-1}_t\left\{\dfrac{s-2}{(s-2)^2+2^2}\right\} - 4L^{-1}_t\left\{\dfrac{2}{(s-2)^2+2^2}\right\} \\\\ 3e^{2t} L^{-1}_t\left\{\dfrac s{s^2+2^2}\right\} - 4e^{2t} L^{-1}_t\left\{\dfrac{2}{s^2+2^2}\right\} \\\\ \boxed{3e^{2t} \cos(2t) - 4e^{2t} \sin(2t)}

5 0
3 years ago
This recipe makes 16 portions of potato soup.
jok3333 [9.3K]

Answer:

24 oil

60 onions

.36 potatoes

.4 milk

Step-by-step explanation: He wants to make 4 portions, 4 is one fourth of 16. Therefore if you multiply all the ingredients by one fourth you will get the amounts required for the new recipe.

8 0
3 years ago
Sara’s Pizza recorded weekly sales for regular cheese pizza from the past four weeks.
vitfil [10]
Don’t go to that guys link, it’s a skam and you will get a virus.
8 0
3 years ago
Over the interval [0, 2π), what are the solutions to cos(2x) = cos(x)? Check all that apply.
valentinak56 [21]

Answer:

Step-by-step explanation:

given the expression;

cos(2x) = cos(x)

According to trig identity;

cos(2x) = cos(x+x)

cos(2x) = cos x cos x - sinx sinx

cos(2x) = cos²(x)-sin²(x)

cos(2x) = cos²(x)-(1-cos²x)

cos(2x) = cos²(x)+cos²x-1

cos(2x) = 2cos²(x)-1

2cos²(x)-1 = cos(x)

let P = cosx

2P²-1 = P

2P²-P-1 = 0

Factorize;

2P²-2P+P-1 = 0

2P(P-1)+1(P-1) = 0

2P - 1 = 0 and P-1 = 0

P = 1/2 and 1

cosx = 1/2 and cos x = 1

x = arccos 1/2

x = π/3

Also;

x = arccos1

x = 0

Hence the value of x are 0 and  π/3

Also the angle = π+ π/3 = 4π/3

The angles are 0, π/3 and 4π/3

4 0
3 years ago
Read 2 more answers
Select the correct answer. Which function does the graph represent?
Lostsunrise [7]

Answer:

what graph

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
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