Answer:
put a closed for on -1 and go to the left with an arrow
Answer:
is the equation of line in slope intercept form.
Step-by-step explanation:
Line runs through points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 0 comma 4.
First ordered pair: (-3,0)
Second ordered pair: (0,4)
We have two points and need to find equation of line in slope intercept form
y-intercept, when x=0 , (0,4)
Equation of line in slope intercept form:
y=mx+b
where, 
and b=4
Required equation:
Thus, is the equation of line in slope intercept form.
Answer:
Mya only used the dimensions from the scale drawing of a rectangle
Step-by-step explanation:
A
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:
Step-by-step explanation:
We are given the temperature inside the machine from startup until 10 seconds later, the formula is:
We want to know at what time t the temperature inside the machine will be equal to 128 °C.
So we set:
Now, we rearrange the equation to keep terms with t on the left hand side and terms without t on the right hand side
and we simplify:
now it's easy to solve for t:
And thus we arrive to the solution.
