Answer:
d = 11 units if rounded to nearest whole number
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-1, 1) and (4, 11)
d=√((4-(-1))²+(11-1)²)
d=√((4+1))²+(10))²)
d=√((5)²+ 100)
d = √125
d = 11.18
d = 11 units if rounded to nearest whole number
Answer:
Nonmonotonic
Step-by-step explanation:
A non-monotonic function is a function that is increasing and decreasing on different intervals of its domain. As we can see that same thing happens in a curvilinear relationship, that is why it is aslo called a Non-monotonic.
Answer:
M(t) = 64 Kgs
Step-by-step explanation:
To find the total mass of the rod, we have to integrate the expression
M(x) = ∫₀⁴ rho(x)*dx
Where rho (x) = 6 + 5*x in Kgs /m
M(x) = ∫₀⁴ ( 6 + 5*x ) dx ⇒ M(x) = ∫₀⁴ 6 dx + ∫₀⁴ 5*x dx
M(x) = 6x |₀⁴ + 5* x²/2 |₀⁴
M(x) = 6( 4 - 0 ) + 5/2 ( 16 - 0 )
M(x) = 24 + 40 Kgs
M(t) = 64 Kgs
