One is the integral of e^x times cos x.
Use integration by parts.
let t = time (hrs) that they are 50 mi apart
Use pythag here; a^2 + b^2 = c^2; dist = speed * time
(30t)^2 (40t)^2 = 50^2
900t^2 + 1600t^2 = 2500
It's obvious that t = 1 hr
Answer:
Both of these values don't have asymptotes.
Answer: Below the solid line
Step-by-step explanation:
-4y - x ≥ 7
add x to both sides
-4y ≥ x + 7
divide by -4 on both sides
y ≤ -1/4x - 7/4 = (1.75)
Take the origin (0,0) and substitute it for the variables
y(0) ≤ -1/4(0) - 7/4
0 ≤ -7/4 = (1.75)
This statement is false, so you would shade on a graph, below the solid line, since this is where the origin would not be.
The line would be solid because the < is underlined.
Circumference formula - 2pi(r)
area formula - pi(r)^2
in both of the formulas r is the radius so
to find circumstance: 2(pi)(6) = 25.68 feet
to find area: pi(6)^2 = 113.04 feet