The graphs of the functions f and g are given. Let R be the region bounded by the graphs of f and g as shown. Find the area of R.

∫ A B ( f ( x ) − g ( x ) ) d x \int_A^B\left(f\left(x\right)-g\left(x\right)\right)dx ∫ A B ( f ( x ) − g ( x ) ) d x

∫ A B ( g ( x ) − f ( x ) ) d x \int_A^B\left(g\left(x\right)-f\left(x\right)\right)dx ∫ A B ( g ( x ) − f ( x ) ) d x

∫ C D ( f ( x ) − g ( x ) ) d x \int_C^D\left(f\left(x\right)-g\left(x\right)\right)dx ∫ C D ( f ( x ) − g ( x ) ) d x

∫ C D ( g ( x ) − f ( x ) ) d x \int_C^D\left(g\left(x\right)-f\left(x\right)\right)dx ∫ C D ( g ( x ) − f ( x ) ) d x

Find the length of the curve described by y = 2 3 x 3 2 y=\frac{2}{3}x^{\frac{3}{2}} y = 3 2 x 2 3 for 0 ≤ x ≤ 8. 0\le x\le8. 0 ≤ x ≤ 8 .

512 2 15 \frac{512\sqrt{2}}{15} 1 5 5 1 2 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

BC Unit 8 Review

Quiz

•

Mathematics

•

11th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

8.F.B.4, HSF.IF.B.4, HSF-BF.B.4A

+1

Standards-aligned

Tisha Bowman-Ashby

Used 53+ times

FREE Resource

51 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

33

11

21

7

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

10

1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The velocity of a particle for t on [0,9] is given in the graph. At which of the following value for t is the particle speeding up?

3

4

5

7

A particle is moving along the x-axis. The position and velocity of the particle is recorded for various times in the table. At which time, t, is the particle moving towards the origin?

1

2

4

6

8

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BC Unit 8 Review

51 questions

The velocity of a particle for t on [0,9] is given in the graph. At which of the following value for t is the particle speeding up?

A particle is moving along the x-axis. The position and velocity of the particle is recorded for various times in the table. At which time, t, is the particle moving towards the origin?

The velocity of a particle is given in the graph for t on [0,11]. What is the total distance traveled by the particle on the interval [4,9]?

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