3.1 to 3.8 Calculus Exam

3.1 to 3.8 Calculus Exam

12th Grade

15 Qs

quiz-placeholder

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3.1 to 3.8 Calculus Exam

3.1 to 3.8 Calculus Exam

Assessment

Quiz

Mathematics

12th Grade

Easy

CCSS
HSF.IF.B.4, HSG.GMD.A.3, HSF-IF.C.7C

+3

Standards-aligned

Created by

KAREN GUZMAN

Used 4+ times

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find dy/dx by Implicit Differentiation 
x3 +y3  = 36
6 -x
3x2 +3y2 
−x2/y2
0

2.

MULTIPLE CHOICE QUESTION

3 mins • 2 pts

A spherical snowball is rolled in fresh snow, causing it to grow so that its radius increases at a rate of 2 in/sec. How fast is the volume of the snowball increasing when the radius is 2 in?

Tags

CCSS.HSG.GMD.A.3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The position of an object is given as a function of time by x = 3t2 + 5t- 2t
What is the acceleration of the object at time t = 2 s?
64 m/s/s
60 m/s/s
66 m/s/s
70 m/s/s

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the intervals of concavity for

f(x) = x2 + 2x + 1.

concave up: (-∞,∞)

concave down: (-∞,∞)

concave up: (2, ∞)

concave down: (-∞,2)

concave up: (-∞,2)

concave down: (2, ∞)

5.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Given the function f(x)=3x4-2x3-9x2, find the relative minimum values. Check all that apply.

-1

0

1.5

-1.5

Tags

CCSS.HSA.APR.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Given the position function s(t) = - t3 + 26t2 - 169t, determine if the particle is speeding up or slowing down when t = 2.

Speeding up

Slowing down

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image
A certain medical procedure requires that a balloon be inserted into the stomach and then inflated. Model the shape of the balloon by a sphere of radius r. If r is increasing at the rate of 0.3 cm/min, how fast is the volume changing when the radius is 4 cm?
15.08 cm3/min
268.08 cm3/min
60.32 cm3/min
6.03 cm3/min

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