1answer.
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
Sophie [7]
3 years ago
7

For the following parameterized​ curve, find the unit tangent vector at the given value of t.

Mathematics
1 answer:
Wewaii [24]3 years ago
6 0

Answer:

the unit vector at t=1 is <15/√334 , 0 , -3/√334 >

Step-by-step explanation:

for the parameterized curve

r(t) = < 15 t ,10 , 3/t > for -20 < t < 2​  ( i have corrected the -20 for the 20 so the inequality has sense and the t=1 falls in the range provided )

the derivative of r with respect to t is

r'(t) =  < 15 , 0 , -3/t² >

then the unit tangent vector is defined as

u(t) = r'(t) / |r(t)|

for t=1

u(t=1) = r'(1) / |r(1)| =  < 15 , 0 , -3/1² > / √[(15*1)²+(10)²+(3/1)²] =   < 15 , 0 , -3 > / √334 = <15/√334 , 0 , -3/√334 >

then the unit vector at t=1 is <15/√334 , 0 , -3/√334 >

You might be interested in
Please and thank you help with math!!
Anvisha [2.4K]

Answer:none of these

Step-by-step explanation:

5 0
2 years ago
Ok no one at my school can get it, who has the crown to get this right 1st out of my whole class lolllll plus ill give brainiest
FrozenT [24]

Answer:

A.y=(t-1998)+b

B. 13,720 Vehicles

Step-by-step explanation:

N/A

7 0
3 years ago
10/15 as a % to 2 decimal places
PolarNik [594]

Answer:

0.67

Step-by-step explanation:

all you need to do is divide 10 by 15

3 0
3 years ago
0 divided by 0 help me plz
marusya05 [52]

Answer:

0

Step-by-step explanation:

Its basically infinite because 9 divided by 3 is how many times 3 goes into 9 so 0 divided by 0 is how many times 0 goes into 0 which is infinite.

8 0
2 years ago
Can someone please help
Elis [28]

Answer:

880 minutes

Step-by-step explanation:

cost = 0.05(per minute) + basic fee

y = 0.05x + 15

59 = 0.05x + 15

subtract 15

44 = 0.05x

divide by 0.05

x = 880

6 0
3 years ago
Read 2 more answers
Other questions:
  • 40 point question ....... pls urgent
    8·1 answer
  • 1200$ invested at a rate of 3.5% compounded quarterly; 4 years
    13·1 answer
  • Can someone help me with this?
    10·1 answer
  • Simplify the expression:<br> 2(5 + 5q) =<br> What’s the answer
    6·2 answers
  • 2) The cost of renting a boat for one or more
    8·1 answer
  • Jordan is stacking 2 boxes on a shelf. The bottom box measures 7 inches​ long, 6 inches​ wide, and 6 inches high. The top box is
    6·1 answer
  • A geneticist needs to grow a stock of fruit flies for her experiments.
    8·1 answer
  • Pls help pls help pls help
    14·1 answer
  • The length of a track around a field is 1/4 miles. You run 3 1/2 times
    14·1 answer
  • What is the equation of this line?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!