Answer:
Step-by-step explanation:
Mass of Antarctic iceberg - Mass of Rock Gibraltar=
= 4.55 * 10^{13} - 1.78 * 10^{12} = 45.5 * 10 ^{12}- 1. 78 * 10^{12}= 43.72 * 10^{12}
Answer: 43.72 * 10^12 kg
276 - 35d
276 = total pages
35 = pages read per day
35D = number of pages she has read during D days
Answer:
m(JCA)
Step-by-step explanation:
C is the central angle here (the one in between)
so it will be m(JCA) or m(ACJ)
Answer:
C. 210 miles
Step-by-step explanation:
We have been given that two cars leave Phoenix and travel along roads 90 degrees apart. Car 1 leaves 30 minutes earlier than Car 2 and averages 42 mph.
We will use distance formula and Pythagoras theorem to solve our given problem.
.
Since car 1 leaves 30 minutes before car 2, so car 2 will travel for only 3 hours when car 1 will travel for 3.5 hours.
Since both car travel along roads 90 degree apart, therefore, the distance between both cars after Car 1 has traveled 3.5 hours would be hypotenuse with legs 147 and 150.
Therefore, the both cars will be 210 miles apart and option C is the correct choice.
The first solution is quadratic, so its derivative y' on the left side is linear. But the right side would be a polynomial of degree greater than 1, so this is not the correct choice.
The third solution has a similar issue. The derivative of √(x² + 1) will be another expression involving √(x² + 1) on the left side, yet on the right we have y² = x² + 1, so that the entire right side is a polynomial. But polynomials are free of rational powers, so this solution can't work.
This leaves us with the second choice. Recall that
1 + tan²(x) = sec²(x)
and the derivative of tangent,
(tan(x))' = sec²(x)
Also notice that the ODE contains 1 + y². Now, if y = tan(x³/3 + 2), then
y' = sec²(x³/3 + 2) • x²
and substituting y and y' into the ODE gives
sec²(x³/3 + 2) • x² = x² (1 + tan²(x³/3 + 2))
x² sec²(x³/3 + 2) = x² sec²(x³/3 + 2)
which is an identity.
So the solution is y = tan(x³/3 + 2).
