If a circle of radius 2 is made to roll along the x-axis, what is an equation
Question:
If a circle of radius 2 is made to roll along the x-axis, what is an equation for the path of the center of the circle?
Step by Step Answer:
Consider the followi...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 Mathematics questions
-
A point is chosen uniformly inside a circle of radius 2, centered at the origin. If we are given that the point lands exactly on the x-axis, find the expected distance of the point to the origin.
-
A long uniform piece of wood (cross sections are the same) is cut through perpendicular to its length by a vertical saw blade. See the figures . If the friction between the sides of the saw blade and...
-
A rectangle is inscribed in a circle of radius 2. See the figure. Let P = (x, y) be the point in quadrant I that is a vertex of the rectangle and is on the circle. (a) Express the area A of the...
-
} S 1995 the # of Farms Century, data year 1935 1990 19.50 Aumcon people living on declined steadily during the shown by the Follow g as (in milion of persons) from 1935 19.55 1960 1965 11975 1980...
-
After finding the values of the mean and range for each year, find the values of xÌ¿ and RÌ. Then find the values of LCL and UCL for an R chart and find the values of LCL and UCL...
-
At the Fermi National Accelerator Laboratory (Fermilab) in Illinois, protons are accelerated around a ring 2 km in radius to speeds that approach that of light. The energy for this is stored in...
-
A milk processing unit claims that, of the processed milk converted to powdered milk, \(95 \%\) does not spoil. Find the probabilities that among 15 samples of powdered milk (a) all 15 will not...
-
Early in 2011, the Excalibur Company began developing a new software package to be marketed. The project was completed in December 2011 at a cost of $6 million. Of this amount, $4 million was spent...
-
The following information presents key figures pertaining to the operating budget of a company: Sales at 9 2 % of capacity $ 6 4 4 , 0 0 0 Fixed costs $ 2 1 5 , 0 0 0 Variable costs $ 3 7 3 , 5 2 0 $...
-
Gibson Agency Case: 1. Calculate and present the budgeted profit for each of Gibson's clients for each of the years 2016 through 2019, using the current costing system (i.e., the one described in the...
-
In problem, list the intercepts and test for symmetry. y 2 = x + 9
-
What effect will each of the following events have on the current account balance and the exchange rate if the exchange rate is fixed? if the exchange rate is floating? a. The U.S. government cuts...
-
Let x[n] be a causal stable sequence with z-transform X(z). The complex cepstrum x[n] is defined as the inverse transform of the logarithm of X(z); i.e., where the ROC of X(z) includes the unit...
-
Download the levi simulation software for KPNs [496], and develop a KPN model computing Fibonacci numbers in a distributed fashion (i.e., just using a single KPN node is illegal).
-
Which of the following circuits can be modeled with IEEE 1164: complementary CMOS outputs, outputs with a depletion transistor, open collector outputs, tristate outputs, or precharging on buses (if...
-
The power output of the lawnmower engine is not directly proportional to the number of RPMs, as the simple formula Equation (6.1) suggests. It actually reaches a peak at about N = 2500 RPM and...
-
For the previous problem, supply a table and draw a graph showing the distance, speed, and acceleration of the car versus time. Use the v-t diagram for this exercises. Previous problem 15 m/s v, m/s...
-
Consider the function f and its graph.a. Estimate the zeros of the area function b. Estimate the points (if any) at which A has a local maximum or minimum.c. Sketch a graph of A, for 0 x 10,...
-
Are We Martians? It has been suggested, and not facetiously, that life might have originated on Mars and been carried to the earth when a meteor hit Mars and blasted pieces of rock (perhaps...
-
A heat engine has a heat input of 3 Ã 104 Btu/h and a thermal efficiency of 40 percent. Calculate the power it will produce, in hp. Source 3 x 10 Btu/h 40% HE Sink
-
Exclude leap years from the following calculations: (a) Compute the probability that a randomly selected person does not have a birthday on November 8. (b) Compute the probability that a randomly...
-
In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2, . . . , 36. The odd-numbered slots are red, and the even-numbered slots are black. The numbers 0 and 00 are green. To play...
-
According to the Centers for Disease Control, the probability that a randomly selected citizen of the United States has hearing problems is 0.151. The probability that a randomly selected citizen of...
-
Speculate sales : Speculate on the projected sales. Justify your product or service by the numbers; discuss your projected revenue gain. Note: it MUST have an ROI that justifies the project for...
-
8.6 In Figure P8.6 the experimental unit step response of a process system is shown. (a) What is the transfer function that can be used to best describe the system dynamics among the following. 1 (1)...
-
An 84 year old female arrives to the ER today with her son with a complaint of new onset of confusion. What are your differential diagnoses for a patient with new altered mental status? Go through...
Study smarter with the SolutionInn App