To find the area of the curve subject to these constraints, we must take the integral of y = x ^ (1/2) + 2 from x=1 to x=4
Take the antiderivative: Remember that this what the original function would be if our derivative was x^(1/2) + 2
antiderivative (x ^(1/2) + 2) = (2/3) x^(3/2) + 2x
* To check that this is correct, take the derivative of our anti-derivative and make sure it equals x^(1/2) + 2
To find integral from 1 to 4:
Find anti-derivative at x=4, and subtract from the anti-derivative at x=1
2/3 * 4 ^ (3/2) + 2(4) - (2/3) *1 - 2*1
2/3 (8) + 8 - 2/3 - 2 Collect like terms
2/3 (7) + 6 Express 6 in terms of 2/3
2/3 (7) + 2/3 (9)
2/3 (16) = 32/3 = 10 2/3 Answer is B
the answer is B because if you.........................................................................................................................................
Answer:
32 pi m^2
Step-by-step explanation:
The surface area of a cylinder is given by
SA = 2pi r^2 + 2 pi rh
The diameter is 4 meters so the radius is 1/2 of the diameter = d/2 = 2 meters
SA = 2 * pi * (2)^2 + 2 pi *2*6
= 8pi +24pi
= 32 pi m^2
Each student would have to sell about 54 balloons I say. I took 162 divided by 3 and I got 54. If you were to take the 54 divided by 6 each student would have to sell 2. I am more confident with the 54.
You have to figure out how you got 26 from 2. They multiplied 13. So multiply 5 by 13. The answer is 26/65.
