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2 years ago

Write the first five terms of the sequence defined by the explicit formula

Mathematics

1 answer:

zubka84 [21]2 years ago

8 0

Answer:

just substitute n for 1, then 2, then 3, then 4, then 5 and write your final values equal to them.

Step-by-step explanation:

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Suppose that a particle following the given path c(t) flies off on a tangent at t = t0. Compute the position of the particle at

Svetach [21]

Answer:

(30,35,0)

Step-by-step explanation:

We are given that

$C(t)=(2t^2,t^3-4t,0)$

$t_0=3,t_1=4$

The velocity of particle, $v(t)=c'(t)=(4t,3t^2-4,0)$

Substitute $t_0=3$

$C(3)=(2(3)^2,(3)^3-4(3),0))=(18,15,0)$

$v(3)=(4(3),3(3)^2-4,0)=(12,23,0)$

The tangent line at t=3 is given by

$l(t)=c(2)+(t-3)v(3)=(18,15,0)+(t-3)(12,23,0)$

Now, substitute t=4

$l(4)=(18,15,0)+(4-3)+(12,23,0)=(18,12,0)+(12,23,0)$

$l(4)=(30,35,0)$

Hence, the position of particle at $t_1=4$ =(30,35,0)

4 0

3 years ago

For every two laps Jane swims Betty swims 3 laps. If they swim a total of 35 laps how many did each girls swim

7nadin3 [17]

Answer:

betty swam 21 jane swam 14

Step-by-step explanation:

4 0

3 years ago

What is 4 less than 5 by the 3 power equal

oksano4ka [1.4K]

5 by the 3 is 5X5X5 = 125

125-4 = 121

answer = 121

5 0

3 years ago

Read 2 more answers

If your starting salary is $50,000 and you receive a 4%increase at the end of every year, what is the total amount, indollars, y

Softa [21]

Answer

Total amount earned after 16 years = $93649

Explanation:

The principal, P = $50,000

Interest rate, r = 4% = 4/100

r = 0.04

The time, t = 16 years

Number of times intesrest is compounded per year, n = 1

Total amount is calculated below:

$\begin{gathered} A=P(1+r)^t \\ \\ A=50000(1+0.04)^{16} \\ \\ A=50000(1.04)^{16} \\ \\ A=\$93649 \end{gathered}$

Total amount earned after 16 years = $93649

4 0

1 year ago

The residence of a city voted on whether to raise property taxes the ratio of yes votes to know votes was 5 to 6 if there was 58

Akimi4 [234]

5/6:x/5844

Cross multiply to get
29220=6x
x=4870

4870+5844=

10714 votes

Hope this helped :)

7 0

1 year ago