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:
Part 1) 
Part 2)
a) 
b) 
c) 
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
Part 1) Write an expression for the perimeter of the shape
we know that
The figure is composed by a larger square, a rectangle and a smaller square
1) The area of the larger square is given

so
The length and the width of the larger square is x units
2) The area of the rectangle is given

so
The length of the rectangle is x units and the width is 1 unit
3) The length and the width of the smaller square is x units
see the attached figure N 2 to better understand the problem
Find out the perimeter
The perimeter is the sum of all the sides.
so


Part 2) Find the perimeter for each of the given values of x.
a) For x=7 units
Substitute the value of x in the expression of the perimeter

b) For x=5.5 units
Substitute the value of x in the expression of the perimeter

b) For x=7/3 units
Substitute the value of x in the expression of the perimeter

A. 36 square units
(Please tell me if I’m right in the comments)
Have a wonderful day!
Answer:
58.5
Step-by-step explanation:
This expression should be simplified using order of operations. According to order of operations or PEMDAS, complete any numbers in parenthesis then any exponents, multiplication, division, additions and subtraction moving left to right through each operation.
Begin with Parenthesis.
(7+3-4*9) - Multiply first
(7+3-36) - Then add/subtract left to right
10 - 36 = -26
Replace -26 where the parenthesis were in the original expression.
9/4 (-26)
234/4
58.5