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3 years ago

What are two solutions to x>29

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

Answer:

43 and 56/12

Step-by-step explanation:

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Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩

klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

4 0

3 years ago

What is the prime number 14 13 21 33

kvv77 [185]

Answer:

13 is the prime number

Step-by-step explanation:

Nothing can multiply to produce 13

8 0

3 years ago

Solve for x A. 10 B. -8 C. 6 D. 3

hichkok12 [17]

Answer:

c (6)

Step-by-step explanation:

by the corresponding angles postulate, the angle above 20x-5 will be 65°.

20x - 5 + 65 = 180 they are supplementary angles (angles that add up to 180°)

20x + 60 = 180

20x = 120

x = 6

4 0

3 years ago

Explain why each of the following studies may fail to yield the desired information. (a) To determine the average annual income

harkovskaia [24]

Answer:

the following studies may fail to yield the desired information because

(a) i. some of the students might have died before 2015.

ii. Some people might lie based on the questionnaire sent.

So based on the two factors above the desired information might be altered or incorrect.

(b) i. individuals may be unwilling to provide accurate answers during the survey.

Step-by-step explanation:

Information may be altered when individuals are asked about their income or spending in other to show off to friends or the person asking the questions.

8 0

3 years ago

Dylan scores a total of 48 points in his first games of the basketball season. Which equation can be used to find g, the average

Anarel [89]

Answer: 48÷4 = g

Step-by-step explanation:

Here is the complete question:

Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?

a. 48÷4=g

b. 4÷48=g

c. g÷4=g

d. 4÷g=48

The average number of points Dylan scores per game which has been represented by g will be the total points scored divided by the number of game played. This will be:

g = total point scored ÷ number of games played

g = 48 ÷ 4

Therefore, option A is the right answer.

5 0

3 years ago

Read 2 more answers