Answer:
<u>585/4</u> or <u>146.25</u>
Step-by-step explanation:
10 x 6 1/2 x 2 1/4
10 x 13/2 x 9/4
5 x 13 x 9/4
65 x 9/4
<u>585/4 = 146.25</u>
Answer:
y = 3sin2t/2 - 3cos2t/4t + C/t
Step-by-step explanation:
The differential equation y' + 1/t y = 3 cos(2t) is a first order differential equation in the form y'+p(t)y = q(t) with integrating factor I = e^∫p(t)dt
Comparing the standard form with the given differential equation.
p(t) = 1/t and q(t) = 3cos(2t)
I = e^∫1/tdt
I = e^ln(t)
I = t
The general solution for first a first order DE is expressed as;
y×I = ∫q(t)Idt + C where I is the integrating factor and C is the constant of integration.
yt = ∫t(3cos2t)dt
yt = 3∫t(cos2t)dt ...... 1
Integrating ∫t(cos2t)dt using integration by part.
Let u = t, dv = cos2tdt
du/dt = 1; du = dt
v = ∫(cos2t)dt
v = sin2t/2
∫t(cos2t)dt = t(sin2t/2) + ∫(sin2t)/2dt
= tsin2t/2 - cos2t/4 ..... 2
Substituting equation 2 into 1
yt = 3(tsin2t/2 - cos2t/4) + C
Divide through by t
y = 3sin2t/2 - 3cos2t/4t + C/t
Hence the general solution to the ODE is y = 3sin2t/2 - 3cos2t/4t + C/t
Answer:
1.25 of a sandwich
Step-by-step explanation:
5/4=1.25
I'm not sure if you have to round it or not, but I think this would be exact!
Hope this helps!
Answer:
Step-by-step explanation:
Given the quadratic function
we have to find the leading coefficient of given quadratic equation.
The coefficient of 
i.e a is known as the leading coefficient.
Comparing given equation with the standard equation, we get
a=-2
