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ivolga24 [154]
2 years ago
5

Region R is bounded by the curves y = √x, y = 1, and x = 4. A solid has base R, and cross sections perpendicular to the x-axis a

re squares. The volume of this solid is
A. 4/3
B. 8
C. 7/6
D. 15/2

Mathematics
2 answers:
zlopas [31]2 years ago
8 0
The answer is B. hope this helped
Korolek [52]2 years ago
7 0

The cross sections have side length equal to the vertical distance between y = √x and y = 1, or |√x - 1|. The two curves meet at the point (1, 1), and y = √x meets x = 4 at (4, 2), so we'll be integrating with respect to x on the interval [1, 4]. Over this interval, √x ≥ 1, so |√x - 1| = √x - 1.

A cross section of thickness ∆x has volume

(√x - 1)² ∆x = (x - 2√x + 1) ∆x

Then the volume of the solid is

\displaystyle \int_1^4 (x - 2\sqrt x + 1) \, dx = \boxed{\frac76}

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Given the function y=log3(x+2)-2. List the transformations
slava [35]

Answer:

Exponential transformation.

Step-by-step explanation:

y = log_3 (x + 3) - 2

To transform this into exponential, we have:

Adding 2 to both sides

y + 2 = log_3 (x + 3)

3^(y + 2) = x + 3

x = 3^(y + 2) - 3

4 0
3 years ago
Plz help ASAP! I URGENTLY NEED HELP!
Greeley [361]
Yes is the answer click it
5 0
3 years ago
CAN SOMEONE PLEASE HELP ME!!!!!!!!!!!!!
antiseptic1488 [7]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
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What is the domain and range of the graph?
GREYUIT [131]

Answer:

Domain (0, ∞)

Range (-∞, ∞)

Step-by-step explanation:

The domain is the input values

The input is from 0 to infinity

Domain (0, ∞)

The range is the output values

The input is from negative infinity to infinity

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5 0
3 years ago
Help me please I’m begging you:(
alex41 [277]

Answer:

Chips = 14

Pretzel = 14

Cookie = 8

Popcorn = 13

Question Mark = 222

Step-by-step explanation:

First Equation:

Chips + Pretzel + Chips = 42

Third Equation: Chips = Pretzel.

This means that

Pretzel + Pretzel + Pretzel = 42

Pretzel = \frac{42}{3} =14

Chips = Pretzel

Chips = 14

Second Equation:

Cookie + Chips + Cookie = 30

We know that Chips = 14.

Cookie + 14 + Cookie = 30

Subtract 14 on both sides:

Cookie + Cookie = 16

Cookie = 16\div 2 =8.

Fourth Equation:

Cookie + Cookie + Popcorn = 29

We know that Cookie = 8.

8 + 8 + Popcorn = 29

16 + Popcorn = 29

Subtract 16 on both sides:

Popcorn = 13.

Question Mark:

(Popcorn + Popcorn) \times Cookie + Chips = (13 + 13) \times 8 + 14 = 26 \times 8 + 14 = 208+14=222

6 0
3 years ago
Read 2 more answers
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