Answer:
226.08 in^3
Step-by-step explanation:
volume of a cylinder = nr^2h
3.14 x 2^2 x 6 = 75.36 in^3
75.36 x 3 = 226.08
Answer:
y = 6cos(π/2)t
Step-by-step explanation:
Given in the question that,
in a simple harmonic motion in which
at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.
And,
the period is given as 4 sec
We know that model equation of simple harmonic motion is
<h3>y = a. cosb(t + c) + d</h3>
here,
a is amplitude
c is Horizontal shift or phase shift
d is Vertical shift
<h3>Step1</h3><h3>Find b</h3>
Period = 2 π / b
4 = 2π / b
b = 2π/4
b = 1π/2
<h3>Step2</h3><h3>Find shifts</h3>
Horizontal and vertical shifts are 0.
So, c = 0 and d = 0
<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>
y = 6cos π/2 (t + 0) + 0
y = 6cos(π/2)t
Answer:
B = 26.407 degrees
C = 73.593 degrees
c = 30.196 units
Step-by-step explanation:
Use the law of sines
sin(B) / 14 = sin(80) / 31
B = sin-1( sin(80) / 31 x 14)
B = 26.407
C = 180 - 80 - 26.407
C = 73.593
c / sin(73.593) = 31 / sin(80)
c = 31 / sin(80) x sin(73.593)
c = 30.196
Integrate indefinite integral:
Solution:
1. use substitution
=>
=>
=>
=>
2. decompose into partial fractions
where A=1/2, B=1/2, C=-1
3. Substitute partial fractions and continue
4. back-substitute u=e^x
Note: log(x) stands for natural log, and NOT log10(x)
Answer:
3x − 2y = 16
Step-by-step explanation:
y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16
Hope this helps uwu
