Answer:
Step-by-step explanation:
<u>Instantaneous Velocity</u>
Given r(t) as the vector function of the position for time t, the instantaneous velocity is computed as:
We are given:
Thus:
Computing the derivative:
Evaluating for t=π/4:
-3x+4=15
-3x=15-4
-3x=11
x= -11/3
4(-11/3)-y= -19
-44/3-y= -19
-y= -19+44/3 multiply by (-1)
y=19-44/3
y=19•3/3-44/3
y=57/3-44/3
y=13/3
(x,y)=(-11/3, 13/3)
Answer:
Step-by-step explanation:
In a direct proportion,
Pressure = constant × temperature
p = kT
We can use the initial conditions to find the value of k, and then calculate the pressure at the new temperature.
1. Determine the value of k
Data:
p₁ = 6 lb·in⁻²
T₁ = 440 K
Calculation:
2.Calculate the new pressure
Answer: 13
Step-by-step explanation:
You draw 13 different coloured dots and change their position
Answer:
a < -64.
Step-by-step explanation:
a/-8 + 15 > 23
a/-8 > 23-15
a/-8 > 8
a < 8*-8 <----- because of the negative 8 we flip the inequality.
a < -64.