Mathematics College

Vector Calculus

A particle of mass m move along the path σ(t)={t^2,sin t, cos t} Calculate the force acting on the particle t=0.

Answers

Answer 1

It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.

σ(t) = {t ², sin(t ), cos(t )}

σ'(t) = {2t, cos(t ), -sin(t )}

σ''(t) = {2, -sin(t ), -cos(t )}

When t = 0, the acceleration on the particle is

σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}

Then the force acting on the particle at time t = 0 is

F = {2m, 0, -m}

by Newton's second law.

Related Questions

Select all of the possible side lengths for the third side of a triangle if the first two
sides have lengths of 15 in. and 10 in.
9 in
5 in
27 in
3 in
21 in
13 in
12 in
25 in
Next

Answers

Answer:

9, 12, 13, 21

Step-by-step explanation:

let x be the third side, then

difference of 2 given sides < x < sum of 2 given sides , that is

15 - 10 < x < 15 + 10

5 < x < 25

The possible side lengths for the third side from the given list are

9, 12, 13, 21

PLZ HURRY IT'S URGENT!!!!
Represent the situation as a system of equations.

Rent a Truck rents a moving truck for $40.00 and $0.20 per mile.
Moving R Us rents the same moving truck for $1.00 per mile but with no upfront charge.

Let x represent the number of miles traveled.

Question 5 options:

y=40x+0.20 y=x+1

y=0.20x+40 y=x+1

y=40x+0.20 y=1.00x

y=0.20x+40 y=1.00x

Answers

Answer:

y=0.20x+40; y=1.00x

Step-by-step explanation:

Company 1 is charging upfront and then after u have a unknown variable for how many miles you drive. Company 2 is only charging you 1.00$ per mile driven and depending on how many miles you drove will depend on how much you will pay.

True or false that integers can be negative numbers

Answers

Answer:

true

Step-by-step explanation:

Calculate the simple interest on $600 left in account that pays 7% annual interest for 8 years.

Answers

Answer:

S = $336

Step-by-step explanation:

Given the following data;

Principal, P = $600

Rate, R = 7

Time, T = 8 years

To find the simple interest?

Mathematically, it is given by the formula;

Simple interest, S = (P*R*T)/100

Substituting into the equation, we have;

S = (600*7*8)/100

Simplifying the equation, we have;

S = 6*7*8

S = $336

what does 100+100 equal

Answers

Answer:

100+100=200 it's an mathmatecial answer

Please I need help badly I also have stuff on my account

Answers

Not 100% but I’m thinking 125
D=125

Since D is across from 125 on the transversal that should be the answer.

Help with 2 things plz I will give brainliest

Answers

Answer:

x is 3 y is 52        x is 50, y is 70

Step-by-step explanation:

1

we know y=14x=12x+6 since they are vertical angles, and correlating angles.

14x=12x+6

2x=6

x=3

subsitute x=3

y=14(x)   turns into y=52

x is 3 y is 52

2.

x+20=y  since alternate interior

y+2x+10=180    because they are supplementary

x+20+2x+10=180    subsitute  for y

3x+30=180

3x=150

x=50

50+20=y

70=y

Write the slope intercept form of the equation. PLEASE HELP

Answers

Answer:

8. D

10. D

12. B

if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.

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Answers

Answer: 22 x 10 = 220

pls help Select the correct answer.
If and , which description represents the graph of function g?

Answers

YOu got the right answer!! good job for you! keep up the good work! plz mark me the brainliest PLZZ!!!!!

Answer:

hey you got it

Step-by-step explanation:

its b

(Giving brainliest!!!)

How do you solve 7,124 ÷ 26 using standard algorithm?

Answers

Answer:

274

Step-by-step explanation:

The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.

However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)

ABCD is a rectangle. The length of AC is 3x - 1. The length of BD is 2x + 5.
What is the length of AC?
a.3
b.6
c.13
d.17

Answers

Answer:

C.13

Step-by-step explanation:

If the diameter of the circle is 24 cm, find its area correct to one decimal place.

A= ______ cm2

Answers

Answer:

A=pi times radius squared

24/2= 12 is the radius (since it's half of diameter)

A=pi times 12 squared

12 squared is 12 times 12 which is 144

A=pi times 144

A=452.389342

Rounded to 452.4

What is the approximate value of x? Round to the nearest tenth

Answers

Answer:

10

Step-by-step explanation:

I don’t know how to set it up nor do it please help me

Answers

Answer:

The value of x is 3

Step-by-step explanation:

∵ Quadrilateral ABCD is congruent to quadrilateral JKLM

∴ AB = JK and BC = KL

∴ CD = LM and AD = JM

∵ BC = 8x + 7

∵ KL = 31

∵ BC = KL

→ Equate their right sides

∴ 8x + 7 = 31

→ Subtract 7 from both sides

∵ 8x + 7 - 7 = 31 - 7

∴ 8x = 24

→ Divide both sides by 8 to find x

∴ [tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex]

∴ x = 3

∴ The value of x is 3

Find the area of the Compound shape

The answer is 45 m^2

I just need the steps....

Answers

Answer:

45 cm^2

Step-by-step explanation:

Dividing the shape into the two separate components of a square and a triangle makes it easier.

The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.

Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.

Which would be 1/2*6*3=9cm^2.

Adding the two, 9+36= 45cm^2.

What is 14.724 rounded by the nearest hundredth

Answers

Answer:

14.72

Step-by-step explanation:

The answer is 14.72 hope this helped!

Find the slope (0,0) and (4.16)
Find the slope (0,0) and (4,8)​

Answers

Answer:

first one is 4

second is   2

Step-by-step explanation:

let me know if you need to  show work

Answer:

first one is 4, 2nd one is 2

Step-by-step explanation:

What will happen to the graph of the line y = -54x + 3 if you change -54 to 54?

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  ( 0 , 0 ) x y 0 0 1 1

The circumference of a circle can be found using the formula C = 2πr.

Which is an equivalent equation solved for r?

Answers

Answer:r=C/2π

Step-by-step explanation:

round 7, 488 to the nearest thousands​

Answers

Answer:

7,000

Step-by-step explanation:

You would round up if the next number (next to the thousands, I mean) is 5 or more, and round down if it is less than 5.

Answer:

7,488 = 7,000

Step-by-step explanation:

Louis and Max are contestants in a jellybean-eating contest. Louis eats 18 jellybeans
in 30 seconds. Max eats 24 jellybeans in 40 seconds.

Answers

Answer: They ate at the same pace.

Step-by-step explanation: assuming you want to know who ate more faster you can do 18 / 30 and 24 / 4 to find out who ate more in 10 seconds each.

18 / 3 = 6 and 24 / 4 = 6. So they ate at the same speed / pace.

Hope this helps! Brainliest and / or a rating out of 5 stars would be appreciated :)

Please I need some answers

Answers

Answer:

prime: 17 47 67

Composite: 25 48 99 161 171

25: 1,5,25

48: 1,2,4,6,8,12,24,48

99: 1, 3, 9, 11, 33, 99

161: 1, 7, 23, 16

171: 1,3,9,19,57,171,

And can i please get brainliest and have a good day

HELP ME PLEASE!!

Which equation describes this line!!

Answers

Answer:

Option A: y-9=2(x-1)

Step-by-step explanation:

Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)

The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.

Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)

B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)

C and D are wrong because the points aren't crossed through

he first five multiples for the numbers 4 and 6 are shown below.

Multiples of 4: 4, 8, 12, 16, 20, . . .
Multiples of 6: 6, 12, 18, 24, 30, . . .

What is the least common multiple of 4 and 6?
2
4
12
24

Answers

Answer:

12

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

What is 19 less than a variable n

Answers

n - 19 would be your answer. Have a nice day/night!!!

Answer:

-19+n

OR

n-19

Step-by-step explanation:

3/4 divided by 4/3 whats the answer to this problem

Answers

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[tex] \frac{3}{4} \div \frac{4}{3} = \frac{3}{4} \times \frac{3}{4} = ({ \frac{3}{4} })^{2} = \frac{9}{16} \\ [/tex]

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82 is what percent of 65.6?

Answers

Answer:

125

Step-by-step explanation:

82 percent of 65.6 is 125

Answer:

I hope I got your question correctly.

82% of 65.6 is 54.

Step-by-step explanation:

Consider this equation:

P%=[tex]\frac{x}{y}[/tex]

The value of P% here is 82, which is 0.82 in decimal form.

x is unknown

y is 65.6

Simply cross-multiply 65.6 and 0.82.

The result is 53.8 or 54.

Please help!!! Thanks


Math problem

Answers

Answer:

67

Step-by-step explanation:

(5-2)180

=540

540-131-105-153-84

=67

2(3x-(2x-3(3x+1)+5x)
​

Answers

Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.

Step-by-step explanation:

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