We are given with the equation
y = e^-9x with the restriction of x <span>≥ 0
If rotated about the x-axis the area of the resulting surface is
A = </span>π ∫ y² dx
Substituing
A = π ∫ (e^-9x)² dx
A = π ∫ e^-18x dx
The limits are from 0 to positive infinity.
Hey there!
-1.3n = 7.8
First, you have to DIVIDE both sides by -1.3
-1.3n / -1.3 = 7.8 / -1.3
Cancel out: -1.3 / -1.3 because it gives you the value of 1
Keep: 7.8 / -1.3 because it gives us the value of n
7.8 ÷ -1.3 = -6
Thus, n = -6 ✅
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
F-1(x) = x\5 + 6/5
hope this helps
No
Just simply give each fraction a common denominator. In this case I will use 12. So just multiply both sides of 1/3 by 4 to get 4/12. Since 4/12 is greater than 1/3, he cannot keep the fish
You can find the inverse of an equation by swapping the x and y, then solving for y.
f(x) = 4x - 12 f(x) is the equivalent of y in this case, so change it to a y
y = 4x - 12 Swap the x and y variables
x = 4y - 12
Solve for y
x = 4y - 12 Add 12 to both sides
x + 12 = 4y Divide both sides by 4
+ 3 = y Switch the sides to make it easier to read
y = + 3 Change y back into f(x) to match what you were given
f(x) = + 3
