Answer:
The required vector parametric equation is given as:
r(t) = <3cost, 3sint>
For 0 ≤ t ≤ 2π
Step-by-step explanation:
Given that
f(x, y) = <2y, -sin(y)>
Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form
(x - 0)² + (y - 0)² = r²
Which is
x² + y² = 9
Because
cos²β + sin²β = 1
and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write
x = 3cosβ
y = 3sinβ
So that
x² + y² = 3²cos²β + 3²sin²β
= 9(cos²β + sin²β) = 9
That is
x² + y² = 9
The vector parametric equation r(t) is therefore given as
r(t) = <x(t), y(t)>
= <3cost, 3sint>
For 0 ≤ t ≤ 2π
<u>Answer:</u>
52 miles per hour (mph)
<u>Step-by-step explanation:</u>
208 miles ÷ 4 hours = 52 miles per hour (mph)
<em>Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!</em>
-Bee
Step-by-step explanation:
A mathematical phrase that groups together numbers, variables, and operators, to show the value of something is called expression.
An expression is a sentence fragment that stands for a single numerical value. On the contrary, an equation is a sentence showing equality between two expressions.
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Answer:
A. 2 (0)=0
B. 2 (2)=4
Step-by-step explanation:
You have to multiply the X numbers by 2 for example 2x , x=2 , 2x2=4
The equation for interest is
'Initial amount (interest rate in decimal form) ^ times compounded EX: years'
your equation would be
400(1.04)^10
which equals 592.097713 (not rounded)
