Given the position function, s of t equals t cubed divided by 3 minus 12 times t squared divided by 2 plus 36 times t , between t = 0 and t = 15, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right. (5 points)0 < t < 6
5 < t < 15
t > 15
The particle always moves to the right.
Answers
Answer:
Option D is correct.
as the particle always moves to the right
Step-by-step explanation:
Given the function: , 0<t<15;
where
s(t) represent the distance in feet.
t represents the time in second.
Since, when the particle is moving to the right,
⇒ s(t) is increasing.
so,
Find the derivative of s(t) with respect to t;
Use derivative formula:
Simplify:
As
⇒
[
]
⇒ this is always true because square of any number is always positive
Therefore, it means that the particle always moves to the right.
Related Questions
A pole 3 m high has a shadow 5 m long when the shadow of a nearby building is 110 m long. How tall is the building? Which of the following proportions could be used to solve the problem? 3/110 = x/5 3/x = 110/5 x/3 = 110/5
Tourists from a tour bus were asked about places they visited during their stay in a city. The results are shown in the table. Sorry can't show the twoway table but here is the numbers for it. Visited the zoo and the museum 9, did not visit the zoo but visited the museum is 5, didn't visit the museum but visited the zoo is 14 and Didn't visit the zoo nor Didn't visited the museum is 2. Write the probability as a percent. round to the nearest tenth if needed. ____________% the numbers are from a two way table chart.
Y = x - 2 and y=-2x +7
Identify the percent of change as an increase or decrease. Then find the percent of change, rounding to the nearest tenth of a percent, if necessary.60 cars to 24 cars
B={ odd number}
C={ X:X is a prime numbers}
D={ y:y is a composite number}
E={z:z is a square number}
F={ cube number}
G={ multiples of 7}
H={ X:X is divisible by 11}
Answers
Answer:
A
The even numbers between 90 and 100 are: 90, 92, 94, 96, 98, 100
B
The odd numbers between 90 and 100 are: 91, 93, 95, 97, 99
C
The prime number between 90 and 100 is: 97
D
The composite numbers between 90 and 100 are: 91, 92, 93, 94, 95, 96, 98 and 99.
E
The square numbers between 90 and 100 are:
90 = 8100
91 = 8281
92 = 8464
93 = 8649
94 = 8836
95 = 9025
96 = 9216
97 = 9409
98 = 9604
99 = 9801
100 = 10000
F
The answer for this is on the attached picture above. Kindly look at it. The cube numbers between 90 and 100.
G
The multiples of 7 between 90 and 100 are: 91 and 98
H
Divisible by 11 (between 90 and 100) is: 99
A={ even number}
B={ odd number}
C={ X:X is a prime numbers}
D={ y:y is a composite number}
E={z:z is a square number}
F={ cube number}
G={ multiples of 7}
H={ X:X is divisible by 11}
꧁Aɴsᴡᴇʀ꧂
A
- The even numbers between 90 and 100 are: 90, 92, 94, 96, 98, 100
B
- The odd numbers between 90 and 100 are: 91, 93, 95, 97, 99
C
- The prime number between 90 and 100 is: 97
D
- The composite numbers between 90 and 100 are: 91, 92, 93, 94, 95, 96, 98 and 99.
E
- The square numbers between 90 and 100 are:
90 = 8100
91 = 8281
92 = 8464
93 = 8649
94 = 8836
95 = 9025
96 = 9216
97 = 9409
98 = 9604
99 = 9801
100 = 10000
F
- The answer for this is on the attached picture above. Kindly look at it. The cube numbers between 90 and 100.
G
- The multiples of 7 between 90 and 100 are: 91 and 98
H
- Divisible by 11 (between 90 and 100) is: 99
✩ⁱʰᵒᵖᵉⁱᵗʰᵉˡᵖˢ✩
Y=5x+7
How do you solve this
Answers
6x=5x+7
subtract 5x form both sides
6x-5x=5x-5x+7
x(6-5)=x(5-5)+7
x(1)=x(0)+7
x=0+7
x=7
subsitute 7 for x
6(7)=y
42=y
x=7
y=42 the answer to the universe
the answer to your question is 0.14 recurring
to solve this problem you must first learn about indices when u have a number with x in the back of it you must times the number by how much it is and when u have a next alphabet across of the equal sign it is always 1 and if u divide 6 into 1 you will get 0.14 recurring
A=The first step in simplifying is to distribute the –3 throughout the parentheses.
B=There are 3 terms in the simplified product.
C=The simplified product is a degree 3 polynomial.
D=The final simplified product is –3y2 + 7y – 9.
E=The final simplified product is –3y2 + 37y – 84.
Answers
Answer: Option 'B' and 'E' are correct.
Step-by-step explanation:
Since we have given that
Simplification needs a few steps:
So, Option 'B' and 'E' are correct.
As Option 'B' says there are 3 terms in the simplified product, which is true.
Answer:
B and E
Step-by-step explanation:
O (877 + 6) in.2
(817 + 12) in 2
(877 + 18) in 2
(81T + 24) in 2
3 in
Answers
Answer:
8π + 12 in²
Step-by-step explanation:
Just add the areas of the semicircle and the triangle.
Answers
Answers
elephant:pony:zebra
1:4:2
1+4+2=7
238/7=34
1*34=34kilograms (elephant)
4*34=136kilograms (pony)
2*34=68kilograms (zebra)
Elephant=34kg
Pony=136kg
Zebra=68kg