Show that if the arc length of y = (x) over [0, a] is proportional to a,
Question:
Show that if the arc length of y = ƒ(x) over [0, a] is proportional to a, then y = ƒ(x) must be a linear function.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (1 review)
For s to be proportional to ...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Show that if 0 (x) 1 for all x, then the arc length of y = (x) over [a, b] is at most 2(b a). Show that for (x) = x, the arc length equals 2(b a).
-
Use the Comparison Theorem (Section 5.2) to prove that the arc length of y = x4/3 over [1, 2] is not less than 5/3. THEOREM 5 Comparison Theorem If f and g are integrable and g(x) f(x) for x in [a,...
-
A wire of length I 0 and cross-sectional area A supports a hanging weight W. (a) Show that if the wire obeys Eq. (11.7), it behaves like a spring of force constant AY/I 0 , where Y is Youngs modulus...
-
Determine whether the given functions are even, odd, or neither. a. x sin(x) c. x cos(x) e. x sin(x) + x sin(x) f. x sin(x) + x cos(x) even h. x sin(x) + x cos(x) j. x cos (x) + x cos(x) b. x sin(x)...
-
Determining the payback period with uneven cash flows Cascade Snowmobile Company is considering whether to invest in a particular new snowmobile model. The model is top-of-the-line equipment for...
-
Adventure Elements provides outdoor activities including ropes courses, rock climbing, and zip-lining. The company offers a unique experience for team building activities, camps for youth and anyone...
-
What are the different ways of connecting to the Internet and what is the advantage for each? LO.1
-
This exercise develops a space-efficient variant of the forward'backward algorithm described in Figure. We wish to compute P (X k?e l; t) for k = 1... t. This will be done with a divide-and-conquer...
-
F . Pierce Products Inc. is considering changing its capital structure. F . Pierce currently has no debt and no preferred stock, but it would like to add some debt to take advantage of the tax...
-
Let be an increasing function on [a, b] and let g be its inverse. Argue on the basis of arc length that the following equality holds: Then use the substitution u = (x) to prove Eq. (4). f(b) S* = [...
-
Find the surface area of the ellipsoid obtained by rotating the ellipse (x/a) 2 + (y/b) 2 = 1 about the x-axis.
-
Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News,...
-
Sketch plane / intersecting plane K. Then draw a line & in plane J that intersects plane Kat a single point. A X C B D E
-
Use a graphing utility to verify any five of the graphs that you drew by hand in Exercises 126. Data from exercise 1-26 1. x + 2y = 8 3. x2y> 10 2. 3x6y 12 4. 2xy > 4
-
The following information pertains to Porter Company for 2011. Ending inventory consisted of 30 units. Porter sold 320 units at \(\$ 30\) each. All purchases and sales were made with cash. Required...
-
In Problems 7780, use a numerical integration routine on a graphing calculator to find the area bounded by the graphs of the indicated equations over the given interval (when stated). Compute answers...
-
Solar Heating, Inc., had the following transactions for 2011: Required a. Determine the quantity and dollar amount of inventory at the end of the year, assuming Solar Heating Inc. uses the FIFO cost...
-
Give the major product of the reaction of each of the following compounds with one equivalent of a peroxyacid. Indicate the configuration of the product. a. b. c. d. CH3 CH3 CH3 - CH3
-
What are the main distinctions between the different schools of legal interpretation?
-
a. Find the inverse of each function (on the given interval, if specified) and write it in the form y = f -1 (x). b. Verify the relationships f(f -1 (x)) = x and f -1 (f(x)) = x. f(x) = 3x 3
-
a. Find the inverse of each function (on the given interval, if specified) and write it in the form y = f -1 (x). b. Verify the relationships f(f -1 (x)) = x and f -1 (f(x)) = x. f(x) = 3x + 5
-
a. Find the inverse of each function (on the given interval, if specified) and write it in the form y = f -1 (x). b. Verify the relationships f(f -1 (x)) = x and f -1 (f(x)) = x. f(x) = x 2 + 4, for...
-
Sociology
-
I am unsure how to answer question e as there are two variable changes. In each of the following, you are given two options with selected parameters. In each case, assume the risk-free rate is 6% and...
-
On January 1, Interworks paid a contractor to construct a new cell tower at a cost of $850,000. The tower had an estimated useful life of ten years and a salvage value of $100,000. Interworks...
Study smarter with the SolutionInn App