Answer:
<4 = 63°
Step-by-step explanation:
32° + 31° = < 4 ( exterior angle of a triangle is equal to the sum of two opposite interior angles)
<4 = 63°
Hope it will help :)
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
Hi!
One deck of card has 52 cards, and in every deck there are 4 queens.
We will find the probability of pulling out the queen from the deck by diving the number of queens by the number of cards in the deck, like this:
4/52 = 1/13
Hope this helps!
Answer:
-14.4<or=z
Step-by-step explanation:
-8-6.4or = z+6.4-6.4
-14.4_<z
Step-by-step explanation:
because the is no answer for that in the calculator
