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:
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]
Related Questions
10 points please help
Answers
Mary wants to buy 8 pounds of
grapes. Each pound costs $1.89.
Mary has $15. Does she have enough
money to buy the grapes? Explain.
Answers
Answer:
No, he does not have enough money to buy the grapes because he only has 15$ when in total the the grapes are $28.35.
Step-by-step explanation:
The nth term of a sequence is 3n^2/2
Answers
3 x 2 = 6
6 x 6 = 36
36 divided by 2 = 18
The difference of two numbers is 3. Their sum is 13. Find the numbers.
Answers
Answer:
Huh
Step-by-step explanation:
Answer:
The numbers are 8 and 5!
Step-by-step explanation:
8+5=13
8-5=3
Which equation represents the sentence:
Amanda's age is four less than three times Jacob's age.
A.a=3c−4
B.a−4=3c
C.4a=3+c
D.a=4−3c
Answers
Answer:
a.) 1/2n 4=3−5/n b.) 1/2(n 4)=5/n−3 c.) 1/2(n 4)=3−5/n d.) 1/2n 4=5/n−3
Let's assume the number be n.
So, sum of number and four can be written as n+4.
Now one-half of n+4 will be .
Quotient of five and the number can be written as .
Now three less \frac{5}{n} can be written as \frac{5}{n} -3.
So, one-half the sum of a number and four is three less than the quotient of five and the number can be converted into equation as follows:
So, b is the correct choice.
Step-by-step explanation:
Can you mark brainliest
Help pleaseee like ASAP
Answers
Answer: B,C,E,F
Step-by-step explanation:1/6 times 5 on top and bottom to get choice B. 1/6 times 3 on top and bottom to get choice C . 1/6 times 4 on top and bottom to get choice E .1/6 times 2 on top and bottom to get choice F.
Explain why the square root of a number is defined to be
equal to that number to the 1/2 power
Answers
9514 1404 393
Answer:
(x^(1/2))^2 = x^(2/2) = x
Step-by-step explanation:
The square root of a number, when multiplied by itself, gives the original number.
(√x)(√x) = x
The rule for exponents is that powers of the same base, when multiplied, will be the base to the sum of those powers.
(a^b)(a^c) = a^(b+c)
Also, the first power of a number is that number itself.
__
[tex]x^{\frac{1}{2}}\times x^{\frac{1}{2}}=x^{\frac{1}{2}+\frac{1}{2}}=x^1=x\\\\ \text{Compare to ...}\\\\ \sqrt{x}\times\sqrt{x}=x[/tex]
Answer:
Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.
Step-by-step explanation:
EDGE 2020-2021
is the relationship linear, exponential, or neither?
Answers
Your answer is linear.
Plz help I am in my unit test plz
The sugar maple tree in Sarah’s yard is the age of the oak tree in her yard. If the sugar maple is 12 years old, how old is
the oak tree?
a. The oak tree is 7 years old.
B. The oak tree is 2 years old.
C. The oak tree is 60 years old.
D. The oak tree is 17 years old.
Answers
Step-by-step explanation:
the oak tree is 17 years old
HELP! whoever gets it right gets brainliest!!
Answers
Help please who ever correct brainliest
Answers
Answer:
Step-by-step explanation:
5
3 _
18
Four more than twice a number is the same as 8 less than three times the same
number. What is the number?
Answers
Answer:
Step-by-step explanation:
Write the following equation symbolically.
One-sixth of the sum of x and 5 is 4 minus y.
Answers
I believe it is
[tex]\frac{1}{6}(x + 5) = 4 - y[/tex]
1/6(X+5)=4-Y
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
ASAPPP!!!!
A large pizza costs $12 and each topping costs an additional $2.50.
This situation can be represented by the equation y = 12 + 2.5x, where x represents the number of toppings and y represents the total cost.
What is the total cost for 9 toppings?
-$23.50
-$14.25
-$ 34,50
-$ 22.50
Answers
Answer:
$22.50
Step-by-step explanation:
So if each topping cost 2.50 then just multiply by 9
HELP HELP HELP NOW!!!
Answers
Answer:
The 3rd one
Step-by-step explanation:
I think
Answer:
it's the last one
'the slope of ab is different than the slope of BC
Step-by-step explanation:
Bananas cost $3 a bunch and apples cost $0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?
Answers
Answer:
it's 3a+.50b
Step-by-step explanation:
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
Righteousness is not found.
Answers
Answer:
why not
Step-by-step explanation:)
Three pizzas are shared equally among 12 people.what fraction of a pizza will each person get
Answers
So, 3/3 =1
12/3 =4
The fraction is 1/4
What is the implicit premise in the following argument? Because it is hard to find four-leaf clovers, I will be lucky to find one.
Answers
Answer: Either it is not hard to find four leaf clovers, or i would be lucky to find one.
Step-by-step explanation:
An assumption is any assertion or concept that is taken to be true and on which an argument or argument may be based.
From the argument is centered on the probability of finding a four leaf clover.
It is an already established fact that four leaf clovers are rear to come by so it would require a lot of luck to actually find one.
Simplify (-32) ÷ (-4)
Answers
[tex]\bold{Hey\ there!}[/tex]
[tex]\bold{Guide\downarrow}[/tex]
[tex]\bold{Negative}[/tex] & [tex]\bold{Negative}[/tex] =[tex]\bold{Positive}[/tex]
[tex]\bold{Positive}[/tex] & [tex]\bold{Negative}[/tex] = [tex]\bold{Negative}[/tex]
[tex]\bold{Positive}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Positive}[/tex]
[tex]\bold{Negative}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Negative}[/tex]
[tex]\bold{(-32)\div(-4)}[/tex]
[tex]\bold{=32\div4}[/tex]
[tex]\bold{=8}[/tex]
[tex]\boxed{\boxed{\bold{Answer: 8}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Answer:
4
Step-by-step explanation:
Since both of these numbers are negative, it means that the answer will be negative, since 2 negatives make a positive, since now you know that, you can easily do 32/8 which is 4.
-32/ -8 = 4
Check....
-8 * 4 = -32
-32 / 4 = -8
When there is a negative number and a positive number being multiplied or divided by, it will always result in a negative number.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Select all the correct answers.
Which values of x are solutions to this equation?
-1/2+ 5x = 8
11.5
-1.5
-2
-8
8
3
Answers
Answer:
x = 1.7
Step-by-step explanation:
Given
-½ + 5x = 8
Required
Find x
-½ + 5x = 8
Multiply both sides by 2
-1 + 10x = 16
Collect like terms
10x = 16 + 1
10x = 17
Divide both sides by 10
x = 1.7
Answer:
8, and 2
Step-by-step explanation:
(btw the three in the question is suppose to be a 2)
but those two are the only ones that you can add and the equation still equal 8.
<3
While shopping for clothes, Curtis spent $44 less than 3 times what Jaclyn spent. Curtis
spent $43. Write and solve an equation to find how much Jaclyn spent. Let x represent how much
Jaclyn spent.
Answers
Please I need help! Answer as soon as possible
Answers
Because the pattern so far has gone blue, red, blue so the next one must be red.
And the section numbers are increasing by one each time. 1, 2, 3 so the next one must be 4.
helpp
please i rlly need thiss
Answers
Answer:
16
Step-by-step explanation:
Answer: 16
Step-by-step explanation:
4 to the second power is 4x4 and 4x4 is 16.
can sombody help me ill make you brainliest
Answers
Answer:
6^22
Step-by-step explanation:
15-(-7) = 22
6^22
Answer:
1679616
Step-by-step explanation:
m= 12 and the y-intercept is (0, 11)
Answers
Answer:
y=12x+11
Step-by-step explanation:
using y=mx+b
m is the slope and b is the y intercept, using that you just plug in the numbers.
WILL GVIE BRAINLIEST Use the given scale factor and the side lengths of the scale drawing to
determine the side lengths of the real object.
Answers
Hopefully it’s right
To make enough chili for the chili cook-off, Lee needs 20 pounds of ground
turkey. The market sells 2 pounds of ground turkey for $5.00. How much should
Lee expect to pay for 20 pounds of ground turkey?
Pls answear im on a test
Answers
Answer:
50 dollars
Step-by-step explanation: