Answer:
Step-by-step explanation:
Divide 712 hours by 24 hours/day, obtaining 29 2/3 days, which in turn breaks down into 28 days plus 1 2/3 days, or 4 weeks plus 1 2/3 days. '4 weeks' takes us to a Monday, 22:48, 4 weeks after the start of the journey.
To this we add 1 2/3 days, reaching 16 hours into the Tuesday immediately following that Monday. That would be approximately 16:00 on that Tuesday, but we must work backwards 1:12 hours: subtracting 1:12 from 16:00 on Tuesday yields 14:48
The journey finishes at 14:48 4 weeks and 1 day after it began.
Answer:
f(x)=-18x^2
Step-by-step explanation:
Given:
1+Integral(f(t)/t^6, t=a..x)=6x^-3
Let's get rid of integral by differentiating both sides.
Using fundamental of calculus and power rule(integration):
0+f(x)/x^6=-18x^-4
Additive Identity property applied:
f(x)/x^6=-18x^-4
Multiply both sides by x^6:
f(x)=-18x^-4×x^6
Power rule (exponents) applied"
f(x)=-18x^2
Check:
1+Integral(-18t^2/t^6, t=a..x)=6x^-3
1+Integral(-18t^-4, t=a..x)=6x^-3
1+(-18t^-3/-3, t=a..x)=6x^-3
1+(6t^-3, t=a..x)=6x^-3
That looks great since those powers are the same on both side after integration.
Plug in limits:
1+(6x^-3-6a^-3)=6x^-3
We need 1-6a^-3=0 so that the equation holds true for all x.
Subtract 1 on both sides:
-6a^-3=-1
Divide both sides by-6:
a^-3=1/6
Raise both sides to -1/3 power:
a=(1/6)^(-1/3)
Negative exponent just refers to reciprocal of our base:
a=6^(1/3)
Answer:
The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1.
Answer:
r = -6, -1
Step-by-step explanation:
r^2 + 7r+6 =0
Factor
What 2 numbers multiply to 6 and add to 7
6*1 =6
6+1 =7
(r+6) (r+1) =0
Using the zero product property
r+6 =0 r+1 =0
r = -6 r=-1
