answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Aloiza [94]
2 years ago
9

Find the values of t so that the tangent line to the given curve is contains the given point? Given r(t)=2ti+t^2j-t^2k at point

(0,-4,4)
Mathematics
1 answer:
Mariana [72]2 years ago
6 0

Answer:

t = -2,2

Step-by-step explanation:

The curve equation, r(t)=2ti+t^2j-t^2k

Let at t=a tangent to the curve.

Equation of tangent:  

L(k) = r(a) + k r'(a)

r(a)=

r'(t)=

Put t=a

r'(a)=

Equation of tangent:

L(k) =  + k

L(k)=

Tangent passing through (0,-4,4)

Therefore,

2a + 2k = 0   ⇒  k = -a

a^2+2ak=-4

a^2-2a^2=-4

-a^2=-4

a=\pm 2

At t = -2,2  tangent line to the curve passing through (0,-4,4)

You might be interested in
How many tens are there in 342
Svet_ta [14]
The answer is there are 34 tens in 342
4 0
2 years ago
Read 2 more answers
Sequence 1.5,3.9,6.3,8.7
Nitella [24]
Lololollolollllollllolloolollllll IM TRYING TO GET POINTS. THX
7 0
2 years ago
Read 2 more answers
Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x
konstantin123 [22]
First, she distributed 3*x=3x , 3*4=12, 5*x= 5x, 5* -4= -20
Which gave her 3x+12+2=2+5x-20
Then, she combined like terms 12+2=14 and 2+ -20 = -18
Which gave her 3x+14=5x-18
Then, she subtracted 3x from both sided 
Which gave her 14=2x-18
Then, she added 18 to both sides
Which gave her 32=2x
And finally sh edivided 32 by 2 and got 16=x
hope this helps if you have any questions please pm me :)
5 0
2 years ago
Read 2 more answers
Refer to the data in the table below to answer the question. (Express percents to the nearest tenth.) Date Description Amount Ba
MariettaO [177]
Issa whole test my guy
4 0
2 years ago
The weight of people in a small town in missouri is known to be normally distributed with a mean of 154 pounds and a standard de
ad-work [718]
If a random sample of 20 persons weighed 3,460, the sample mean x-bar would be 3460/20 = 173 pounds.
The z-score for 173 pounds is given by:
z=\frac{173-154}{29}=0.655
Referring to a standard normal distribution table, and using z = 0.66, we find:
P(\bar x\ \textless \ 173)=0.7454
Therefore
P(\bar x\ \textgreater \ 173)=1-0.7454=0.2546
The answer is: 0.2546

4 0
2 years ago
Other questions:
  • Circle D is shown with the measures of the minor arcs. Which segments are congruent? EH and EF GH and FE FG and EH EF and GF
    15·2 answers
  • In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people 
    13·2 answers
  • Roger is building a storage shed with wood blocks that are in the shape of cubic prisms. Can he build a shed that is twice as hi
    6·2 answers
  • Mr Chua borrows a sum of money from the bank which charges a compound interest of 4.2% per annum, compounded 6.Given that Mr Chu
    11·1 answer
  • What is the area of a circle with 11m and 9m?
    14·1 answer
  • 108 identical books have a mass of 30 kg,find the mass of 150 such books
    5·1 answer
  • Complete the equation describing how x and y are related. Help please!!!
    9·1 answer
  • Austin purchased a new laptop in 2018 for $1875. The laptop decreases in value by 30% each year. What is the value of the laptop
    13·1 answer
  • The time it takes to transmit a file always depends on the file size. Suppose you transmitted 30 files, with the average size of
    12·1 answer
  • The amount of time required to reach a customer service representative has a huge impact on customer satisfaction. Below is the
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!