Libby wants to make cookies for her whole class. There are 36 students in her class. The recipe Libby is going to use only makes 12 cookies. How many batches of cookies is Libby going to have to make to feed her whole class?
36/12

3 0

3 years ago

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 25x and y = x2 25 . Find V by slic

vesna_86 [32]

Answer:

$volume\ = \pi \frac{625^2}{6}$

Step-by-step explanation:

See the attached figure.

y₁ = 25x and y₂ =x²

The intersection between y₁ and y₂

25x = x²

x² - 25x = 0

x(x-25) = 0

x = 0 or x =25

y = 0 or y =25² = 625

The points of intersection (0,0) and (25,625)

To find the volume of the solid obtained by rotating about the y-axis the region bounded by y₁ and y₂

y₁ = 25x ⇒ x₁ = y/25 ⇒ x₁² = y²/625

y₂ =x² ⇒ x₂ = √y ⇒ x₂² = y

v = ∫A(y) dy = π ∫ (x₂² - x₁²) dy

∴ V =

$\pi \int\limits^{625}_0 {y-\frac{y^2}{625} } \, dy =\pi( \frac{y^2}{2} -\frac{y^3}{3*625} ) =\pi (\frac{625^2}{2} -\frac{625^3}{3*625}) =\pi ( \frac{625^2}{2}-\frac{625^2}{3}) =\pi \frac{625^2}{6}$

8 0

3 years ago

3x2 + 5x-9 = 0 Quadratic formula A= B= C=

Umnica [9.8K]

Answer:

the answer are

a = 3, b

= 5 and

c = -9

5 0

3 years ago

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