A right triangle is formed in the first quadrant by the x- and y-axes and a line
Question:
A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (1, 2) (see figure).
(a) Write the length L of the hypotenuse as a function of x.
(b) Use a graphing utility to approximate x graphically such that the length of the hypotenuse is a minimum.
(c) Find the vertices of the triangle such that its area is a
minimum.
Transcribed Image Text:
4 3 2 1 y (0, y) (1, 2) 1 2 (x, 0) 3 برا 4
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
a b c y 2 1 11 ...View the full answer
Answered By
Joseph Mwaura
I have been teaching college students in various subjects for 9 years now. Besides, I have been tutoring online with several tutoring companies from 2010 to date. The 9 years of experience as a tutor has enabled me to develop multiple tutoring skills and see thousands of students excel in their education and in life after school which gives me much pleasure. I have assisted students in essay writing and in doing academic research and this has helped me be well versed with the various writing styles such as APA, MLA, Chicago/ Turabian, Harvard. I am always ready to handle work at any hour and in any way as students specify. In my tutoring journey, excellence has always been my guiding standard.
4.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (2, 1) (see figure). Write the area A of the triangle as a function of x, and determine the domain...
-
Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the interval (0, 2). 1. 5 sin x + 2 = 0 2. 2tan x + 7 = 0 3. sin x 3 cos x = 0 4. sin x + 4 cos x = 0...
-
Use a graphing utility to approximate (to three decimal places) the solutions of the equation in the given interval. 1. 3 tan2 x + 5 tan x 4 = 0, [- / 2, / 2] 2. cos2 x 2 cos x 1 = 0, [0, ] 3. 4...
-
Steven Stores, Inc. provided the following statement of net income for the current year. All income is subject to a 40% income tax rate. The company also had $ 735 of unrealized holding gains on its...
-
When a resistor is connected to a 12-V source, it draws a 185-mA current. The same resistor connected to a 90-V source draws a 1.25-A current. (a) Is the resistor ohmic? Justify your answer...
-
What is the management style that your manager uses, and is it effective? Why or why not? LO.1
-
Identify the different types of personal selling.
-
The budget for the Murphy Equipment Inc. job in P9-1 consisted of the following amounts: In P9-1, Freeman and Lueke, attorneys-at-law, provided legal representation to Murphy Equipment Inc. in a...
-
Assume a company has a payout ratio of 41 percent, a profit margin of 4 percent, a cost of equity of 15 percent and a growth rate of 2.5 percent. Do not round intermediate calculations. Round your...
-
Assuming the data are normal, what is the probability the blade weights from this process will exceed 5.20? What is the probability that weights will be less than 4.80? What is the actual percent of...
-
A rectangle is bounded by the x- and y-axes and the graph of y = (6 - x)/2 (see figure). What length and width should the rectangle have so that its area is a maximum? 5 4 2 1 -1 y y = 6-x 2 (x, y) 2...
-
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window (see figure). Find the dimensions of a Norman window of maximum area when the total perimeter is...
-
Find the six complex sixth roots of unity (1) and plot them.
-
9. [10] Suppose that B and W are BMs and that they are correlated with correlation coefficient P (-1, 1) in the sense that the correlation coefficient between Bt and Wt for all t>0. Then we can...
-
You have just incorporated and started your business. Your corporate pre-tax profit is $40,000. This is your only source of income. This income is eligible for the Small Business Deduction and is...
-
4. Provide the information requested in the statements below: a) Find and draw all C's that do not contain H's (if any). For this, redraw the structure where you show the d ('s). N b) Find and draw...
-
Suppose that f(x) = 8x + 5. (A) Find the slope of the line tangent to f(x) at x = 7. (B) Find the instantaneous rate of change of f(x) at x = -7. C) Find the equation of the line tangent to f(x) at x...
-
Whichof the following regarding the relationship between business risk and financial risk is least accurate based on our discussions in class? A. Business risk represents uncertainty caused by...
-
Explain two different types of test databases that should be used when testing database redesign changes.
-
Les has collected stamps in his spare time for years. He purchased many of his stamps at a price much lower than the current market value. Les recently lost his job as a carpenter. Since his wife...
-
Show that the total length of the ellipse x = a sin θ, y = b cos θ a > b > 0, is where is the eccentricity of the ellipse (e = c/a, where c = √a2 b2). L- 4a VI- e sin 0 de m/2 Jo
-
Show that the total length of the ellipse x = a sin θ, y = b cos θ a > b > 0, is where is the eccentricity of the ellipse (e = c/a, where c = √a2 b2). L- 4a VI- e sin 0 de m/2 Jo
-
A curve called Cornus spiral is defined by the parametric equations where and are the Fresnel functions that were introduced in Chapter 5 (a) Graph this curve. What happens as t→∞ and as...
-
Suppose I have computed the cost of carbon per mile for my car at 0 . 0 1 2 per mile. Assume that the interest rate is 4 % and that I drive the car 2 8 , 0 0 0 miles per year. What is the present...
-
Imagine that in stable growth period, the firm earns ROIC of 10% and has after tax EBIT of 200 and reinvestment $ of 40. What is the steady state growth rate? 20% O 10% 2%
-
Tanner-UNF Corporation acquired as a long-term investment $160 million of 5.0% bonds, dated July 1, on July 1, 2021. Company management has the positive intent and ability to hold the bonds until...
Study smarter with the SolutionInn App