Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent
Question:
Consider the circle of radius 5 centered at (0, 0). Find an equation of the line tangent to the circle at the point (3, 4).
Step by Step Answer:
First we need to find the equation of the circle We can do this by using the equ...View the full answer
Calculus Graphical, Numerical, Algebraic
ISBN: 9780132014083
3rd Edition
Authors: Ross L. Finney, Franklin D. Demana, Bert K. Waits, Daniel Kennedy
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
-
Find an equation of the line tangent to the graph of f at the given point. f(x) = sin -1 (x/4); (2, /6)
-
Find an equation of the line tangent to the graph of f at the given point. f(x) = sec -1 (e x ); (ln 2, /3)
-
Find an equation of the line tangent to y = x sin x at the point x = 1.
-
Calculate the IRR for the following projects. a. An initial outflow of $15,220 followed by inflows of $5,000, $6,000, and $6,500. b. An initial outflow of $47,104 followed by inflows of $16,000,...
-
The Edgeworth box on the right shows how castaways Tom and Hank are allocating labor and capital to the production of two goods, food and clothing. The economy is currently at point A. a. How many...
-
Derive the collision probability expressions for a lattice cell if an air gap is present after or at the center of fuel region.
-
Reconsider Problem 24 but assume \(f_{1}=0\) and \(f_{2}\) is a unit-impulsive force. All parameter values remain unchanged. Assuming zero initial conditions, plot the response \(x_{2}\). Data From...
-
At December 31, Vicki's Designers had gross accounts receivable of $346,000. Historically, Vicki's Designers has estimated bad debt expense as 5% of gross receivables. Required a. Calculate bad debt...
-
Compute for the linear dead load of the masonry wall with cladding located on a floor with the following information: Storey height = 4m 2F Beam used: W125x45 5" Concrete Hollow Blocks 12mm-thick WPC...
-
A communication system sends data in the form of packets of fixed length. Noise in the communication channel may cause a packet to be received incorrectly. If this happens, then the packet is...
-
Which of the following is a solution of the equation 2 - 3 -x = -1? (A) x = -2 (B) x = - 1 (C) x = 0 (D) x = 1 (E) There are no solutions.
-
In Exercises find the measure of the angle in radians and degrees. tan -1 (- 2. 3)
-
Crawford Corporation acquires Nashville, Inc. The parent pays more for it than the fair value of the subsidiary's net assets. On the acquisition date, Crawford has equipment with a book value of...
-
a) Controls related to recording wholesale revenue transactions: Assertion IT Application Controls Related to Wholesale Revenue Transactions Completeness Occurrence Accuracy Classification Cutoff b)...
-
Find the YTM of a Treasury bond which you are considering purchasing. The settlement date is Sept. 1, 2022. The bond matures on Dec. 15, 2030 and has a 4.5% coupon rate. The quoted price for the bond...
-
Mark borrowed $12,372 to help pay for expenses. If the loan carries an annual interest rate of 3.8% and he wants to be debt free in 2 years by making monthly payments, how much will each payment be?...
-
nvBank (B) is a purely investment banking company considering expanding into the retail stock trading business. The expansion will take five years. IB has a market capitalization (market value of...
-
An individual investor is subject to a 30 percent tax on dividends and 20 percent tax on capital gains, how much does the investor receive for $2/share in capital gains? Question 12 options: $1.40...
-
Under what circumstances would it be relatively tough to successfully link one attribute to a brand name and thereby increase sales?
-
Uniform electric field in Figure a uniform electric field is directed out of the page within a circular region of radius R = 3.00 cm. The magnitude of the electric field is given by E = (4.50 x 10-3...
-
What test can be used to assess whether the underlying mean change score differs for retired women vs. working women? Health Promotion A study looked at the influence of retirement on the level of...
-
Implement the test in Problem 8.127, and report a two-tailed p-value? Health Promotion A study looked at the influence of retirement on the level of physical activity among people ages 4564 in the...
-
What test can be used to assess whether the mean BMI changed significantly among heavy-smoking women 6 years after quitting smoking? Health Promotion Cigarette smoking has important health...
-
If the point on a wave takes a time of 0.033 s to go from the maximum displacement to the first equilibrium position, what is the frequency of the wave?
-
At what speed must the sliding rod in the figure below move to produce an emf of 1.70 V in a 1.53 T field, given the rod's length is 34.0 cm? X B AA = Ax X X X X RX X X X X X X X X AX X X X X Ax+
-
a. An RC circuit, hooked up to a battery as shown in the figure below, starts with an uncharged capacitor. The resistance in the circuit is R= 60000000 ohm the capacitor has capacitance C= 3e-06...
Study smarter with the SolutionInn App