The answer is the 3x divided by 3 = -12 divided by 3
Answer:
x = 1 - 5t
y = t
z = 1 - 5t
Step-by-step explanation:
For the equation of a line, we need a point and a direction vector. We are given a point (1, 0, 1).
Since the line is suppose to be a tangent to the given curve at the point (1, 0, 1), we need to find a tangent vector for which the curve passes through that point.
We have x = e^(-5t)cos5t
at t = 1, x = e^(-5)cos5
at t = 0, x = 1
y = e^(-5t)sin5t
at t = 1, y = e^(-5)sin5
at t = 0, y = 0
z = e^(-5t)
at t = 1, z = e^(-5)
at t = 0, z = 1
Clearly, the only parameter value for which the curve passes through the point (1, 0, 1) is t = 0.
In vector notation, the curve
r(t) = xi + yj + zk
= e^(-5t)cos5t i + e^(-5t)sin5t j + e^(-5t) k
r'(t) = [-5e^(-5t)cos5t - e^(-5t)sin5t] i +[e^(-5t)cos5t - 5e^(-5t)sin5t] j - 5e^(-5t) k
r'(0) = -5i + j - 5k
is a vector tangent at the point.
We get the parametric equation from this.
x = x(0) + tx'(0)
= 1 - 5t
y = y(0) + ty'(0)
= t
z = z(0) + tz'(0)
= 1 - 5t
Answer:
20
Step-by-step explanation:
h(-7) just means that inside the x value, you replace the x with a -7.
h(-7) = |3x| - 1
h(-7) = | 3(-7)| - 1
h(-7) = | -21 | - 1
NOTE: -21 is inside |x|, those straight lines mean absolute value. No matter what, any negative number would turn into a positive one. And if it’s posititve, then it stays positive.
h(-7) = 21 - 1
h(-7) = 20
Answer:
For x it would be 50 m2
Step-by-step explanation:
Answer: 33 students wore blue jeans .
Step-by-step explanation:
Let x be the number of black pants.
Given : For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans.
Three times as many students wore black pants as blue jeans.
i.e. Number of blue pants = 4x
If there are forty-four students in the choir, then we have
Divide both sides by 4 , we get
Thus , the number of black pants = 11
Then , the number of blue pants = 
Therefore, 33 students wore blue jeans .
