Question

Asked Nov 3, 2019

47 views

The position of an object in circular motion is modeled by the given parametric equations. Describe the path of the object by stating the radius of the circle, the position at time t = 0, the orientation of the motion (clockwise or counterclockwise), and the time t that it takes to complete one revolution around the circle.

x = 2 sin(t), y = 2 cos(t)

Step 1

The two parametric equations are, x=2sint and y=2cost

For calculating the radius of the circle, we use the formula,

Step 2

Position of the object at a given time t=0 is (0,2)

Step 3

Orientation of the object;

Substitute x= π/2 and π and check the corresponding value for x.

- If the value for x decreases for increasing values of t, then t...

Tagged in

Q: see attachment

A: Answer: cos B= 5/13

Q: Find the derivative.

A: Click to see the answer

Q: 1. Find the following limits. e3r lim 3.x е (a) (b) lim e3/(2-a) lim In(1x2 - In(1 x (c) _ (d) lim l...

A: Click to see the answer

Q: A rectangular storage container with an open top is to have a volume of 10 m3. The length of this ba...

A: Let L, W & H be the length, width and height.L = 2WVolume, V = L x W x H = 2W x W x H = 2W2H = 1...

Q: Find the area of the region enclosed by one loop of the curve. 18. r^2 = 4cos2(theta)

A: Refer to the question we need to find the area of the region enclosed by one loop of the curve.

Q: Find a formula for the sum of n terms. Use the formula to find the limit as n → ∞.

A: Formula:

Q: Evaluate the following limits. If needed, enter INF for oo and MINF for -oo. (a) -)= x 5x1- x lim (b...

A: Evaluate the following limit,

Q: Differentiate y = V910x У 3

A: Write expression of y using exponent.

Q: 9. A sample of tritium-3 decayed to 94.5% of its original amount after a year (a) What is the half-l...

A: Consider N (t) is the amount of tritium-3 relative to the original amount, then general form is,