![Destinywall](/avatars/30153.jpg)
Destinywall
17.07.2021 •
Mathematics
Find the line integral with respect to arc length ∫C(9x+5y)ds, where C is the line segment in the xy-plane with endpoints P=(2,0) and Q=(0,7).
(a) Find a vector parametric equation r⃗ (t) for the line segment C so that points P and Q correspond to t=0 and t=1, respectively
(b) Rewrite integral using parametrization found in part a
(c) Evaluate the line integral with respect to arc length in part b
Solved
Show answers
More tips
- A Auto and Moto Battle for the Relocation of The Cherkizovsky Market: Who Won?...
- F Food and Cooking Homemade kvass: recipe and brewing process...
- O Other What is a Disk Emulsifier and How Does it Work?...
- H Health and Medicine How to Calm Your Nerves? Expert Tips That Actually Work...
- A Animals and plants 5 Tips for Taking Care of Yews to Keep Them Green and Beautiful...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Food and Cooking 10 Tips for Proper Sushi Consumption...
Answers on questions: Mathematics
- M Mathematics The selling price of a television set is $125 more than twice the cost. find the cost if the selling price is $325....
- M Mathematics Rachel is accenting one wall of her room by painting a pattern of squares across the wall. she wants to alternate between red squares with an area of 25 square inches...
- M Mathematics Use a table of values to graph the following quadratic equation. y=‒x2+4x‒3 what is the vertex of this quadratic equation? (a.) (‒1, 9) (b). (2, 1) (c.) (‒4, 3) (d)....
- M Mathematics Write an equation to find two consecutive odd integers whose product is 143. (a). x(x+2)+143=0 (b). x(x+1)=143 (c.) x2+2x‒143=0 (d.) x2+x=143...
- M Mathematics Evaluate tan 30° without using a calculator by using ratios in a reference triangle. explain!...
- M Mathematics Solve the equation or inequality. 3/8x -6 or 5x 2...
- M Mathematics Solve 21-24for me. all multiple choice...
- M Mathematics If no = 17 and np = 5x -6, find the value of x. then find no and op....
- M Mathematics How would i solve this?with algebra 2....
- M Mathematics Please help. Identify the transformation of Polynomial. Describe the transformation of the original function S(x) and write the new equation...
Ответ:
(a) You can parameterize C by the vector function
r(t) = (x(t), y(t) ) = P (1 - t ) + Q t = (2 - 2t, 7t )
where 0 ≤ t ≤ 1.
(b) From the above parameterization, we have
r'(t) = (-2, 7) ==> ||r'(t)|| = √((-2)² + 7²) = √53
Then
ds = √53 dt
and the line integral is
(c) The remaining integral is pretty simple,
Ответ:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
480000 CM ^3
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆