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3 years ago

10

use the unit circle and the reference angle to determine which of the followimg trigonometric values is correct when o= 135 degr

ees

1 answer:

anastassius [24]3 years ago

3 0

D) none of the above

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Find the Laplace transformation of each of the following functions. In each case, specify the values of s for which the integral

MAVERICK [17]

Answer:

a. $\frac {2} {s-1}$ converges to s> 1.

b. $\frac{3}{e^3 \left(s-5 \right)}$ converges to s> 5.

c. $- \frac {2}{s + 3}$ converges to s> - 3.

d. $\frac {s}{s^2 + 25}$ converges to s> 0.

e. $\frac {10} {s^2 + 1}$ converges even s> 0.

f. $\frac {12}{s^2 + 4}$ converges to s> 0.

g. $-\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4}$ converges to s> 0.

h. $\frac {1} {s ^ 2 + 4}$ converges to s> 0.

Step-by-step explanation:

a. $L \left\{2e^t \right\} = 2L \left\{e^t \right\} = 2 \cdot \frac {1} {s-1} = \frac {2} {s-1}$ converges to s> 1.

b. $L \left\{3e^{5t-3} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = 3e^{-3} L \left\{e^{5t} \right\} = \frac{3}{e^3 \left(s-5 \right)}$ converges to s> 5.

c. $L \left\{-2e^{-3t} \right\} = -2L \left\{e^{-3t} \right\} = - \frac {2}{s + 3}$ converges to s> - 3.

d. $L \left\{\cos\left (5t \right)\right\} = \frac {s}{s^2 + 25}$ converges to s> 0.

e. $L \left\{10 \sin\left(t\right)\right\} = 10L\left\{\sin\left(t\right)\right\} = \frac {10} {s^2 + 1}$ converges even s> 0.

f. $L \left\{6\sin \left(2t \right) \right\} = 6L\left\{\sin\left (2t\right)\right\} = \frac {12}{s^2 + 4}$ converges to s> 0.

g. $L \left\{-5\cos\left(2t + 1\right) \right\} = -5L\left\{\cos\left(2t + 1 \right)\right\} = -\frac {5\left(\cos\left (1\right) s-2 \sin\left(1\right)\right)}{s^2 + 4}$ converges to s> 0.

h. $L\left\{\sin \left(t\right)\cos \left(t\right)\right\} = L\left\{\sin\left(2t\right)\frac{1}{2}\right\} =\frac{1}{2}\cdot \frac{2}{s^2+4} = \frac {1} {s ^ 2 + 4}$ converges to s> 0.

7 0

3 years ago

How do you simplify the radical: square root of 28

Lilit [14]

Answer:

√

28

Rewrite

28

as

2

2

⋅

7

.

Tap for more steps...

√

2

2

⋅

7

Pull terms out from under the radical.

2

√

7

The result can be shown in both exact and decimal forms.

Exact Form:

2

√

7

Decimal Form:

5.29150262

…

Step-by-step explanation:

3 0

3 years ago

MIDDLE SCHOOL MATH DONT ANSWER IF YOU DONT KNO-<br> WILL GIVE BRAINLIEST

Juli2301 [7.4K]

Answer:

Radius is <u>2.8</u> Circumference is <u>17.584 or 17.6 Rounded to the nearest Tenths </u>

Step-by-step explanation:

1. Find circumference with the Formula <u>C=πd</u>

C=3.14 x 5.6

<u><em>C=17.584 or 17.6 Rounded to the nearest Tenths </em></u>

2. Radius is Always half of the Diameter.

5.6/2 = 2.8

<em><u>2.8 is your radius.</u></em>

3. If you want to check you work try the formula C=2πr to see if things checks out.

C=2 x 3.14 x 2.8

<u><em>C= 17.584 or 17.6 Rounded to the nearest Tenths </em></u>

<u><em /></u>

<u><em>Hope this Helps!</em></u>

3 0

2 years ago

Every radius of a circle is a chord

Ugo [173]

False

A chord touches the circle at 2 points.

5 0

3 years ago

15 pts + brainliest to right/best answer

ZanzabumX [31]

Rewrite it in the form a^2 - b^2, where a = 2x and b = 5

(2x)^2 - 5^2

Use the Difference o Squares: a^2 - b^2 = (a + b)(a - b)

<u>(2x + 5)(2x - 5) </u>

6 0

3 years ago

Read 2 more answers