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 >
Answer:
The answer is
<h2>y + 2x = 2</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The original line is 2x + y = 1
We must first write the equation in the general form above
That's
y = - 2x + 1
Comparing with the general equation above
Slope = - 2
Since the lines are parallel their slope are also the same
Slope of parallel line = - 2
So the equation of the line using point
( - 1 , 4) and slope - 2 is
<h3>
</h3>
We have the final answer as
<h3>y + 2x = 2</h3>
Hope this helps you
<h2>HOW TO: SOLVE AN APPLICATION</h2>
Step 1. Identify what you are asked to find and choose a variable to represent it.
Step 2. Write a sentence that gives the information to find it.
Step 3. Translate the sentence into an equation.
Step 4. Solve the equation using good algebra techniques.
Step 5. Check the answer in the problem and make sure it makes sense.
Step 6. Write a complete sentence that answers the question.
Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.
Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See Figure 6.7. The sales tax is determined by computing a percent of the purchase price.
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.
Answer:
-9xy (xy+xy)-3
Step-by-step explanation:
The answer is
A. Linda has $1,500 in a bank account that pays 3% annual interest.
