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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 >

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In a game, a participant is given three attempts to hit a ball. On each try, she either scores a hit, H, or a miss, M. The game
Sidana [21]

Answer:

chancing for wining is 54%.

Step-by-step explanation:

possible outcomes can be given as

HHH *

HHM *

HMH

MHH *

HMM

MHM

MMH

MMM

Out of those, only 3 will have the participant win the game:

HHH, HHM, MHH.

Probability (HHH) + Probability (HHM) + Probability (MHH)

since attempts are independant.

Probability (HHH) = 0.9 *0.4 *0.9 = 0.324

Probability (HHM) = 0.9 *0.4 *0.3 = 0.108

Probability (MHH) = 0.3 *0.4 *0.9 = 0.108

Add them up and get  = (0.324+ 0.108+0.108) = 0.54

hence, chancing for wining is 54%.

3 0
3 years ago
Will a frying pan with a circumference of 25.12 inches fit on an electric burner with a 4-inch radius?
Leokris [45]

Answer:

Yes

Step-by-step explanation:

25.12 inches of circumference is equal to the radius of 3.998 inches

4 inches > 3.998 inches

Therefore it fits


8 0
3 years ago
What is the constant of posprtainality in the equation y=0.41
KATRIN_1 [288]

Answer:

The constant of proportionality in the equation y=0.41 is 0.41

Step-by-step explanation:

5 0
3 years ago
Please help! I dont understand math at all! :o(
Brut [27]

Answer:

$393.75

$2,446.88

Step-by-step explanation:

Let's take this problem one step at a time. First let's compute for the total price after the sales tax has been added.

Sales tax = 8.75% or 0.0875

Original Price = $4,500

The sales tax is computed by multiplying the total to the sales tax rate.

4,500 x 0.0875 = $393.75

$393.75 is the total sales tax that Brenton will pay.

Now to find the total price with the sales tax included, we simply add the original price and the sales tax value together.

4,500 + 393.75 = $4,893.75

Now that we have the total overall price, we can then compute for how much the 50% down payment Brenton has made.

Down Payment = 50% or 0.5

Overall Price = $4,893.75

We simply multiply both the down payment and the overall price to find how much Brenton has paid.

4,893.75 x 0.5 = $2,446.88

Now that we know how much Brenton paid, we also now know how much Brenton financed by subtracting the overall price to his down payment.

4,893.75 - 2,446.88 = $2,446.88

Brenton finance a total amount of $2,446.88.

5 0
3 years ago
Round 5.91133442377 to the nearest hundred-thousandth
Semmy [17]

Answer:

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Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
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