Answer:
x=1
y=s
z=1
Step-by-step explanation:
(x, y, z)=(1, 0, 1)
Substitute 0 for y

Confirming if t=0 satisfy the other equation
x = e^−2t cos 4t = e^−2(0)cos(4*0)
= e^(0)cos(0) = 1
z = e^−2t = e^−2(0) = 0
Therefore t=0 satisfies the other equation
Finding the tangent vector at t=0

The vector equation of the tangent line is
(1, 0, 1) +s(0,1,0)= (1, s, 1)
The parametric equations are:
x=1
y=s
z=1
Answer:
A. 
Step-by-step explanation:
We have that, ΔABC is transformed to get ΔA''B''C''.
We see that the following transformations are applied:
1. Reflection across x-axis i.e. flipped across x-axis.
Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.
2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.
So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.
Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.
Answer:
The distance between the hose and the point (P) is 0.9 miles
Step-by-step explanation:
Here we have
Speed of rowing the boat = 3 mph
Speed of waling = 4.5 mph
Since the speed of walking is more than that of to row the boat, the location of where he should dock his boat in order to minimize the total time he would need to reach the house is the shortest distance across the river to the house
Therefore the location of the point (P) should be directly opposite the house across the water and the distance id 0.9 miles.
I can't tell the numbers apart as there are no colours so I did one answer a with them all being one digit numbers and another answer as them being 2 digit numbers...
1 digit:
5 + 4 + 3 + 3 + 2 + 2 +1 = 20
20 ÷ 7 = 2.86
2 digit:
54 + 33 + 22 + 1 = 110
110 ÷ 5 = 22
Answer:
x > 9.
Step-by-step explanation:
Here it is just simplifying the inequality.
6 - 2/3x < x - 9
Add 2/3x to both sides.
6 < 5/3x - 9
Add 9 to both sides.
15 < 5/3x
Multiply by 3/5.
9 < x
Flip it.
x > 9.