Question

Graph the polar equations on a single polar graph. Show all your work. You may use Desmos to double-check your graph.

r=2sin2θ

r=1

Answer #1

Graph the polar equations: r = 1 + cos θ and r = 1 + sin θ. Find
where they intersect (in polar or rectangular coordinates) and set
up the integral to find the area inside both curves?

Your task will be to derive the equations describing the
velocity and acceleration in a polar coordinate
system and a rotating polar vector basis for an object in general
2D motion starting from a general
position vector. Then use these expressions to simplify to the case
of non-uniform circular motion, and
finally uniform circular motion.
Here's the time-dependent position vector in a Cartesian coordinate
system with a Cartesian vector
basis: ⃗r(t)=x (t)
̂
i+y(t)
̂
j where x(t) and y(t)...

Show all your work. Make sure every number has a unit and you
show the equations in the variable form before plugging in
values.
Lava is around 1200 C. If you have 1000 kg of lava, which has a
specific heat of lava is 0.84x103 J/(kg C). How many 1 kg bags of
ice cubes, with a specific heat of 4186 J/(kg C) at 0 C, will it
take to raise the lava temperature to 22 C? The latent heat...

Use the Binomial Theorem to expand: ( 2x - 3 )^6. Show all your
work. please check if y= -3 in the binomial
theorem. (x+y)^n, thank you.

Please complete the following problems. Show all your work. Be
sure to specify all equations used and your process.
You purchased 10,000 shares of stock JKL at price $30 on 60%
margin. The call money rate is 3% and the spread is 1%. You sell
the shares 3 months later when the price is $34. What is the total
dollar return? Total percent return? Total annualized return?

R Code
Directions: All work has to be your own, you may not work in
groups. Show all work. Submit your solutions in a pdf document on
Moodle. Include your R code (which must be
commented and properly indented) in the pdf file. Name this pdf
file ‘your last name’-HW5.pdf. Also submit one text file with your
R code, which must be commented and properly indented. You may only
use ‘runif’ to generate random numbers; other random number
generating functions...

Show all your work. Indicate clearly the methods you use,
because you will be scored on the correctness of your methods as
well as on the accuracy and completeness of your results and
explanations.
A bank categorizes its
customers into one of three groups based on their banking habits. A
random sample of 30 customers from each group was selected, and the
number of times each customer visited the bank during the past year
was recorded. The following table shows...

Show all work and diagrams necessary. Please make sure
you show how you derive any equations you used!!!
An initially resting 422 g car is dragged along a horizontal
frictionless table by a massless cord. The cord is attached to a
vertically hanging unknown mass by a frictionless massless pulley.
Given that the car starts from rest, and moves 41 cm in 3.0 s,
determine the unknown mass. Please give your solution in grams.

Work problem 1a and 1b with your calculator, using the algebra
equations if possible (show work), and using the finance = function
available in your spreadsheet Show what Algebraic Formula
you use. Submit a screenshot of this sheet filled out with the
algebraic calculations, and submit your excel
spreadsheet.
a Suppose
your Uncle died and provided in his trust that you will receive
$5,000 at the end of each year for the next 10 years. Assume you
can earn 8.5%...

Work problem 2a and 2b with your calculator, using the algebra
equations if possible (show work), and using the finance = function
available in your spreadsheet Show what Algebraic Formula
you use. Submit a screenshot of this sheet filled out with the
algebraic calculations, and submit your excel
spreadsheet.
2 a.
Suppose you owe a credit card company $9,500 and you can afford to
pay $270 per month. The card charges you 16% per year. How long
will it take...

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