In Problems 1-3, find parametric equations for the given curve. (Be sure to give the domain for
Question:
1. The circle centered at the origin having radius 3
2. The circle centered at (2, 1) having radius 1
3. The semicircle x2 + y2 = 4 with y > 0
Step by Step Answer:
1 One solution is x 3cos t y 3sin t 0 t 2 Then x 2 y 2 9cos 2 t 9sin ...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Calculus questions
-
(a) Find parametric equations for the ellipse x2/a2 + y2/b2 = 1. (b) Use these parametric equations to graph the ellipse when a = 3 and b = 1, 2, 4, and 8. (c) How does the shape of the ellipse...
-
Find parametric equations for the path of a particle that moves along the circle x2 + (y 1)2 = 4 in the manner described (a) Once around clockwise, starting at (2, 1) (b) Three times around...
-
Find parametric equations for the curve that consists of all possible positions of the point P in the figure, where | OP | = | AB |. Sketch the curve. (This curve is called the cissoids of Diocles...
-
6.33. The "intrinsic gain" of a MOSFET oper- ating in saturation is defined as gmro. De- rive an expression for gmro and plot the result as a function of ID. Assume VDs is constant.
-
Paul Searle, a former basketball player at St. Josephs College, brought suit against the college, the basketball coach, and the trainer for breach of contract and negligence. Searle alleged that he...
-
It takes a person 5 minutes to eat all 12 ounces of ice cream in a cup at a constant rate. Let f(t) be the number of ounces of ice cream remaining in the cup t minutes after the person began eating...
-
Estimate the average acceleration of water as it travels through the nozzle on your garden hose. List all assumptions and show all calculations.
-
1. Analyze the behavior of each party from the perspective of the Six Pillars of Character. Assess the personal responsibility of Ed Giles and Sue Regas for the relationship that developed between...
-
Primare Corporation has provided the following data concerning last month's manufacturing operations. Purchases of raw materials Indirect materials used in production Direct labor Manufacturing...
-
The proprietor of the newly built White Mountain Ski and Swim Lodge has been considering purchasing or leasing several snowmobiles for the use of guests. The owner found that other financial...
-
Write the triple iterated integrals for the volume of a sphere of radius a in each case. (a) Cartesian coordinates (b) Cylindrical coordinates (c) Spherical coordinates
-
Use the arc length formula to find the length of the curve in Problem 6. That part of the line y = 9 - x that is in the first quadrant with an orientation that is down and to the right
-
Identify and list different BOs for this pattern.
-
What is a businesss capital structure?
-
What are some questions relevant to the capital structure decision?
-
What is payback?
-
How would you choose between widely different cost-of-equity estimates?
-
How do expansion and replacement cash flow analyses differ?
-
A split-ring commutator is used in a dc generator to (a) Rotate a loop so that it cuts through magnetic field lines. (b) Reverse the connections to an armature so that the current periodically...
-
Southwestern Punch was made by Frutayuda, Inc. and sold in 12-ounce cans to benefit victims of Hurricane Zero. The mean number of ounces placed in a can by an automatic fill pump is 11.7 with a...
-
Test the null hypothesis that the means from two populations are equal in the following case. 1 and 2 are sample means found from samples with size n1 and n2 drawn from normal distributions with...
-
Test the null hypothesis that the means from two populations are equal in the following case. 1 and 2 are sample means found from samples with size n1 and n2 drawn from normal distributions with...
-
Test the null hypothesis that the means from two populations are equal in the following case. 1 and 2 are sample means found from samples with size n1 and n2 drawn from normal distributions with...
-
What is Fibonacci heap? Explain CONSOLIDATE operation with suitable example for Fibonacci heap ?
-
Discuss the impact of global supply chain disruptions, exacerbated by events like the COVID-19 pandemic, on inventory management strategies and market resilience across various industries?
-
A pharmaceutical retailer decided to host a website for home delivery of medicines according to user orders. The web application is deployed on a single Amazon EC2 instances. within a few months, the...
Study smarter with the SolutionInn App