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3 years ago

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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4 years ago

the table shows the melting points of various elements is the absolute value of the melting point of neon greater than or less t

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<u>Step-by-step explanation:</u>

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4 years ago

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4 years ago

Read 2 more answers

1) write a system on equations with the solution (2, -3). Work the problem out using the substitution method

solmaris [256]

The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

<h3>What is the linear system?</h3>

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

$\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x$

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

$\rm y = \dfrac{2}{3} x + c$

Then this line also passes through a point (2, -3). Then the value of c will be

$\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13$

Then the equation of the line will be

3y = 2x -13

More about the linear system link is given below.

brainly.com/question/20379472

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2 years ago

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

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