Find the parametric equations for the line that is tangent to the given curve at the given parameter (3cost)i (t^4 -3sint)j

Answers

Answer 1

Answer:

Following are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attached file.

In the given equation, when the point t=0

So,

[tex]\to r(0) = (3 \cos 0)i + (0^4 - 6 \sin 0)j + (2e^{3\times 0})k)[/tex]

           [tex]= (3 \times 1)i + (0 - 0)j + (2e^{0})k)\\\\ = 3i + 0j + (2 \times 1)k)\\\\ = 3i + 0j + 2k \\[/tex]

The value of the coordinates are [tex]3, 0, 2[/tex] . so, the equation of the line is:

[tex]\to \frac{(x-3)}{3 \cos \ t} = \frac{(y-0)}{(t^{4}-6 \sin \ t)} = \frac{(z-2)}{2e^{3t}}=k[/tex]

Find The Parametric Equations For The Line That Is Tangent To The Given Curve At The Given Parameter

Related Questions

Yahir Garcia Solis
Gerald read
7
of a book. Mary read of the same book.
How much more of the book did Gerald read?

Answers

Georgia made many contributions to the war effort during World War I.

For each Georgia contribution, indicate the industry or group of people who made it. ( 1 answer will be used two times)

Trained Recruits

provided canned goods, uniforms, and bandages

planted victory gardens

Georgia farmers

volunteered for military duty

Georgia military facilities

grew cotton for clothing

CHOICES:

Georgia Farmers

Georgia Military facilities

Georgia Factories

Georgia Citizens

Rectangle ABCD is similar to rectangle EFGH.
What is the value of s?

Answers

Answer: 3m is the answer!

Step-by-step explanation:

Mia is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Mia will earn $50 every time one of her songs is played in a commercial and she will earn $120 every time one of her songs is played in a movie. How much would Mia earn if his songs were played in 5 commercials and 3 movies? How much would Mia earn if his songs were played in
c
c commercials and
m
m movies?

Answers

Answer:

610 is your answer

Step-by-step explanation:

50x5 = 250 120x 3 =360 360+250 is 610

hope this helps

PLS HELP I WILL GIVE BRAINLEST




Michelle is an architect who builds skyscrapers. She has a sheet of measurements that she needs convert before she can begin her next project. One wall is 12 ⅜ ft long and has a width of 19.73 ft. Change the given mixed number to a decimal. Circle the correct response.
A 12.3 ft
B 12.375 ft
C 12.38 ft
D 12.83 ft

Answers

Answer:

B 12.375 is the answer

Step-by-step explanation:

Key skills needed: Fraction to Decimal Conversion

1) The mixed number that is in the question is --> [tex]12\frac{3}{8}[/tex]

2) We need to find 12 and 3/8 as a decimal.

[tex]12\frac{3}{8}= 12 + \frac{3}{8}[/tex]

This means it would be 12."something"

We need to find out what [tex]\frac{3}{8}[/tex] as a decimal is.

3) To do this, we do 3 ÷ 8 (to find the decimal form of a fraction, you do the numerator divided by the denominator).

4) Check the image I posted to see how I did 3 ÷ 8.

5) Well based on the division, 3 divided by 8 is 0.375

This means that [tex]12 + \frac{3}{8} = 12 + 0.375 = 12.375[/tex]

Therefore 12.375 is your answer

Hope you understood and have a nice day!! :D

What is the slope when the rise is 1.5 and the run is -3?

Answers

Answer:

Slope = 1.5/-3

Step-by-step explanation:

Slope = rise/run

Consider the function represented by the graph. What is the domain of this function? ​

Answers

Answer:

there's no graph take a screen shot of the graph and link it to the answer pls then I can help

Step-by-step explanation:

Solve t/12=4 what is the solution for t?

Answers

Answer:

thx for the points the answer is 3

Step-by-step explanation:

Answer:

For me it was wrong.

Step-by-step explanation:

1 foot =12 inches therefore 3 feet = what

Answers

Answer:

36 inches

Step-by-step explanation:

Just multipy 3 by 12.

help me pls thank u very much very much

Answers

Answer:

y = 95° and x = 21°

Step-by-step explanation:

y + 85° = 180° { being co-interior angles }

y = 180° - 85°

y = 95°

y = 4x + 11°[ being vertically opposite angles ]

95° = 4x + 11°

4x = 95° - 11°

4x = 84°

x = 84° / 4

x = 21°

The physical plant at the main campus of a large state university receives daily requests to replace florescent light bulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 37 and a standard deviation of 8. Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61

Answers

Answer:

49.85% of light bulb replacement requests numbering between 37 and 61

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 37, Standard deviation = 8

Using the empirical (68-95-99.7) rule, what is the approximate percentage of light bulb replacement requests numbering between 37 and 61

37 is the mean

61 = 37 + 3*8, so 61 is three standard deviations above the mean

The normal distribution is symmetric, which means that 50% of the measures are above the mean and 50% are below.

By the Empirical Rule, of the 50% of the measures that are above the mean, 99.7% will be between the mean of 37 and three standard deviations above the mean, which is 61. So, this percentage is:

0.5*0.997 = 0.4985 = 49.85%

Name a pair of supplementary angles. PLS HELP

A. angles AEB and CEB
B. angles AEB and BED
C. angles FED and DEC
D. angles FED and DEB

Answers

B supplementary is what angles equal 180 degrees

The function j(x)= 34x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping
jacks can you do in 10 minutes?
A. 224 jumping jacks
B. 3 jumping jacks
C. 144 jumping jacks
D. 340 jumping jacks

Answers

B is the answer because i am overweight so i cant jump

PLEASSS HELP!!!!!!! I REALLY NEED HELP!!

Answers

Answer:

[tex] \underline{ \boxed{x = 11} } \\ \underline{ \boxed{ABE = 55}}[/tex]

Step-by-step explanation:

[tex]if \: the \: question \: is \to \\ \overline{AZ} \: \perp \: \overline{CD}, \: m \angle{ABE} = 5x, \\ and \\ \: m \angle{EBD } = 3x + 2\\ but \: m \angle{EBD } + m \angle{ABE} = 90 \\ hence \to \\ (3x + 2) + (5x) = 90 \\ 8x + 2 = 90 \\ 8x = 90 - 2 \\ 8x = 88 \\ x = \frac{88}{8} \\ \boxed{ x = 11} \\ \\ if \: x = 11, \: then \to \\ m \angle{ABE} = \: 5x = 5(11) \\ \boxed{m\angle{ABE} =55}[/tex]

I NEED HELP WITH THIS PROBLEM

Answers

Answer:

3 1/2, 3

Step-by-step explanation:

Good luck!

Answer:

(3.5,-3)

hope that helpeddd :)

X + 10y - 4y + 4x

:combine like terms:​

Answers

Answer: X+10ty explanation: I don’t have one it just makes sense

I need this math questioned answered fast please!!

Answers

Answer:

It is the last one

Step-by-step explanation:

10,000 times 100,00 help please

Answers

Answer:1,000,000

Step-by-step explanation:THERE U GO :)

Which of the numbers below is less than 9.18? Select all that apply.
A) 9.2 B)9.1
C) 9.07
D) 8.99

Answers

ur answer should be B,C, and D

A typical person has an average heart rate of 71.0 beats/min. Calculate the given questions. How many beats does she have in 4.0 years

Answers

Answer:

37317600  beats she will have in 4 years.

Step-by-step explanation:

Given that,

A typical person has an average heart rate of 71.0 beats/min.

We need to find the number of beats she have in 4 years.

As 1 year = 525600 min

1 min = 71 beats

525600 min = 525600 × 71

=37317600  beats

Hence, 37317600  beats she will have in 4 years.

Which of the following graphs represents a relation that is not a function

Answers

It’s the second graph :)

What is the slope of (-2,5) and (-2, -6)
a m=undintified
b m= 0
c m= 11 over 4
d m= negative 11 over 4

Answers

Answer:

B

Step-by-step explanation:

Apply slope intercept form, y2-y1 / x2 - x1. -6 is y2, -2 is x2, 5 is y1, and -2 is x1.

-6 - 5 / - 2 - (-2)

-11 / -2 + 2

-11 / 0

0

The slope is 0. B is your answer. I hope this helps you!

A family of three goes to a salon. Each person gets a haircut and highlights. The cost of each haircut is $15, and the cost per person for highlights is x dollars. Write and simplify an expression that represents the total cost for the family at the salon

Answers

Answer:

45+3.x

Step-by-step explanation:

Each person gets a haircut --> 3.15= 45

The question is on the jpg link.

Answers

Answer:

A. y=-4/3x

Step-by-step explanation:

The line that passes through those points has a slope of -4/3

Slope intercept form is y=mx+b

whereas m is the slope and b is where the line intercepts the y-axis.

the line intercepts the y-axis at the origin.

Substitute the slope into the equation

y=-4/3x+0

y=-4/3x

Hope this helps. Have a nice day you amazing bean child.

what is --
% of $85 = $17

Answers

Answer:

78

Step-by-step explanation:

Answer

78

Step-by-step explanation:

Need ASAP only answer if ur confident in ur answer

Answers

Answer:

5152 cm²

Step-by-step explanation:

surface area of the given image

= 1/2 (24) 35 (2 sides)  = 840 cm²

= 44 x 37 (2 sides)       = 3256 cm²

= 24 x 44 (bot base)   = 1053 cm²  

                           

total                             = 5152 cm²          

si un metro de tela vale 9,45 € , cuánto vale un trozo de 0,75 m? Doy corona

Answers

Answer:

No hablas espanol :)

Step-by-step explanation:

If charlie runs to the store 3 miles away in 32 minutes, what is his speed?

Answers

Answer:

5.63

Step-by-step explanation:

i took the test

Answer:

5.63 miles per hour

0.0948 miles per minute

10:40 pace per mile

PLEASE HELP!! I NEED THIS!

2+2=? 3+1=?



Okay I'll give Brainlyest to someone... Just answer it..

Answers

Answer:

2+2=4 and 3+1=4

Step-by-step explanation:

Hope this Helps! :)

Answer:

2+2=4 and 3+1=4 hope thsi helps!

Step-by-step explanation:

it says circle each fraction that is equivalent to one half so witch one 3/6 4/9 or 4/8 5/10

Answers

Answer:

jjnkm

Step-by-step explanation:

What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving

Answers

The question is incomplete. Here is the complete question.

USA Today reported that 36% of adult drivers admit that they often or sometimes talk on a cell phone when driving. This was based on a random sample of 1004 adult drivers.

a) What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?

b) What is a 95% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?

c) What is a 99% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving?

d) What do you notice?

Answer and Step-by-step explanation: The way to calculate confidence interval for proportions is by using the following formula:

[tex]z(\sqrt{\frac{p(1-p)}{n} } )[/tex]

where

p is the sample population proportion

n is the number of individuals in the sample

z is z-score associated of the % of confidence

a) A 90% confidence has a z-score of z = 1.645

Calculating:

Interval = [tex]1.645(\sqrt{\frac{0.36(1-0.36)}{1004} } )[/tex]

Interval = [tex]1.645(\sqrt{0.00023} )[/tex]

Interval = [tex]1.645(0.01515)[/tex]

Interval = 0.025

A 90% Confidence interval for true population is between 0.335 and 0.385.

b) A 95% confidence has a z-score of z = 1.96

Since the sample parameter didn't change, the interval will be:

Interval = 1.96(0.01515)

Interval = 0.03

For a 95% confidence, interval is between 0.33 and 0.39.

c) A 99% confidence has a z-score of z = 2.58

Interval = 2.58(0.01515)

Interval = 0.39

For a 99% confidence, interval is between -0.03 and 0.75

d) Confidence interval tells you how certain your results from polling or survey would represent the real population's behaviour. In the experiment above, as the percentage of certainty grows, closer the real population proportion actually is for adult drivers who often or sometimes talk on a cell phone when driving.

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