Answer:
The diameter of the circle is 24.9 in
Step-by-step explanation:
To solve this exercise we need to use the circumference formula of a circle and clear d:
c = circumference = 78.1 in
d = diameter
π = 3.14
c = π * d
d = c / π
we replace the known values
d = 78.1 in / 3.14
d = 24.8726 in
round to the nearest tenth
d = 24.8726 in = 24.9 in
The diameter of the circle is 24.9 in
I believe it is 0.41666666666 that what I got.
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:
See Below
Step-by-step explanation
1) subtract 4 from both sides
You have the answer
Answer:
{1,6}
Step-by-step explanation:
the second box is always where the y values/range are
