a.
r=3 - 3cos(Θ), enter value for r on a table
when;
Θ=0, (π/3),(π/2),(2π/3),π,(4π/3),(3π/2),(5π/3) & 2π...
a.
r=3 - 3cos(Θ), enter value for r on a table
when;
Θ=0, (π/3),(π/2),(2π/3),π,(4π/3),(3π/2),(5π/3) & 2π
b. plot points from a, sketch graph
c. use calculus to find slope at (π/2),(2π/3),(5π/3)
& 2π
d. find EXACT area inside the curve in 1st
quadrant
1) Find the values of the trigonometric functions of θ from the
information given.
cot(θ) =...
1) Find the values of the trigonometric functions of θ from the
information given.
cot(θ) = − 3/5, cos(θ) > 0
sin(θ)
=
cos(θ)
=
tan(θ)
=
csc(θ)
=
sec(θ)
=
2)
The point P is on the unit circle. Find
P(x, y) from the given information.
The x-coordinate of P is −√5/4, and P
lies below the x-axis.
P(x, y) = ( )
3) Find the terminal point P(x, y) on the unit circle
determined by the given value of...
1. Use the given conditions to find the exact value of the
expression.
sin(α) = -5/3,...
1. Use the given conditions to find the exact value of the
expression.
sin(α) = -5/3, tan(α) > 0, sin(α - 5π/3)
2. Use the given conditions to find the exact value of the
expression.
cos α = 24/25, sin α < 0, cos(α + π/6)
3. Use the given conditions to find the exact value of the
expression.
cot x = √3, cos x < 0, tan(x + π/6)
4. If α and β are acute angles such that...
2) Find the future value FV (at the end of the given
interval) using the given...
2) Find the future value FV (at the end of the given
interval) using the given interest rate. (Round your answers to the
nearest cent.)
R(t) =
48,000e0.04t, 0 ≤
t ≤ 10, at 5%
3) Calculate the producers' surplus for the supply equation at
the indicated unit price p. (Round your answer to the
nearest cent.)
p = 10 +
2q; p = 28
1. For each value below, enter the number correct to four
decimal places.
Suppose an arrow...
1. For each value below, enter the number correct to four
decimal places.
Suppose an arrow is shot upward on the moon with a velocity of 57
m/s, then its height in meters after tt seconds is given by
h(t)=57t−0.83t2h(t)=57t-0.83t2. Find the average velocity over the
given time intervals.
[4, 5]:
[4, 4.5]:
[4, 4.1]:
[4, 4.01]:
[4, 4.001]:
2. A ball is thrown into the air by a baby alien on a planet in
the system of Alpha Centauri...
Question 3
(a) [10 marks] FAEN102 students must attend t hours, where t ∈
[0,H], of...
Question 3
(a) [10 marks] FAEN102 students must attend t hours, where t ∈
[0,H], of lectures and pass two quizzes to be in good standing for
the end of semester examination. The number of students who
attended between t1 and t2 hours of lectures is de- scribed by the
integral
? t2
20t2 dt, 0≤t1 <t2 ≤H.
t1
As a result of COVID-19, some students attended less than H2
hours of lectures before the university was closed down and...
Given that A to Z are mapped to integers 0-25 as follows.
A:0, B:1, C:2, D:3,...
Given that A to Z are mapped to integers 0-25 as follows.
A:0, B:1, C:2, D:3, E:4, F:5, G:6, H:7, I: 8, J: 9, K:10, L:11,
M:12, N:13, O:14, P:15, Q:16, R:17, S:18, T:19, U:20, V:21, W:22,
X:23, Y:24, Z:25.
Encrypt the following message using Vigenere Cipher with key:
CIPHER
THISQUIZISEASY
What is the ciphertext? Show your work.
PLEASE HELP