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n exponential spiral has parametric equationr(t) =〈etcost, etsint〉.(a) Plotr(t). Make sure your plot includeslimt→−[infinity]r(t).(b) Find the unit tangent vectorT(t)tor(t).(c) Find the length ofr(t)for−[infinity]< t≤0.(d) Letf(x, y) =−12ln(x2+y2)−arctanxy. Find∇f(x, y).(e) Compute the angle between∇f(r(t))andr′(t).
answered
Mar 18, 2021
Mathematics
college
4
votes
151k
views
Please help. I dont understand it
answered
Feb 11, 2021
Mathematics
college
7
votes
189k
views
What is strict interpretation
answered
Jan 25, 2021
History
high-school
4
votes
110k
views
A 3.47-m rope is pulled tight with a tension of 106 N. A wave crest generated at one end of the rope takes 0.472 s to propagate to the other end of the rope. What is the mass of the rope (in kg)
answered
Jan 21, 2021
Physics
college
5
votes
73.3k
views
If △PQR ≅ △STU, which of the following would be another way to write a congruence statement for the two triangles. △QPR ≅ △STU △QPR ≅ △TSU △PQR ≅ △SUT △PRQ≅ △TSU
answered
Dec 14, 2020
Mathematics
middle-school
5
votes
180k
views
Which is one of the seven characteristics that Mendel observed in pea plants? flower size seed texture leaf shape stem color
answered
Oct 22, 2020
Biology
college
4
votes
184k
views
A yo-yo is swung around the head of a person in a horizontal circle. What provides the centripetal force on the yo-yo?
answered
Sep 12, 2020
Physics
middle-school
6
votes
25.3k
views
What is an example of an equation with infinitely many solutions?
answered
Apr 15, 2020
Mathematics
middle-school
4
votes
216k
views
Helen wants to create a Web site based on her famous cooking show. She would like to provide instructions on how to create some of her favorite dishes. She would like her recipes to be displayed in very
answered
Feb 29, 2020
Computers and Technology
high-school
5
votes
211k
views
Felicia wants to draw triangle PQR such that the conditions shown are true. I already did something as you can see , but Im not sure where to go from bere and how to explain question a either. Please show
answered
Oct 4, 2019
Mathematics
middle-school
7
votes
179k
views
Which most accurately describes how ancient Greece influenced governments of later civilizations?
answered
Jul 23, 2019
History
college
3
votes
211k
views
(3x^2-15d) - (-10x^2-4d)
answered
Apr 30, 2019
Mathematics
high-school
3
votes
74.6k
views
Use the function rule to complete the table -10x+y=4
answered
Nov 13, 2018
Mathematics
middle-school
5
votes
82.5k
views
The ____ button on the rehearsal toolbar clears the slide time box and resets the timer to 0:00:00.
answered
Oct 24, 2018
Physics
college
1
vote
58.4k
views
Which sentence below is not properly punctuated? a. She finished her work and then took a long lunch. b. I am typing a letter, and she is talking on the phone. c. Mae said "Why don't you come up and see
answered
Oct 12, 2018
English
high-school
3
votes
12.5k
views
Which Progressive Era president was responsible for the establishment of national parks and reserves?
answered
Apr 18, 2018
History
high-school
5
votes
63.5k
views
Which of the following technologies was NOT created during World War 2? A) Computer B) Antibiotics C) Microwave D) Atomic Bombs
answered
Feb 23, 2018
History
middle-school
0
votes
87.8k
views
Why do scientists use computers to map El Nino?
answered
Dec 29, 2017
Computers and Technology
middle-school
3
votes
186k
views
Which best describes where the scientists who have contributed to our scientific knowledge were located? A. They were from all parts of the world. B. They were mostly in the United States. C. They were
answered
Jul 15, 2017
Biology
high-school
5
votes
165k
views
The two proposed plans for the constitution agreed on?
answered
Mar 12, 2017
History
high-school
3
votes
169k
views
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