Calculus Final Exam

Calculus Final Exam

12th Grade

32 Qs

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Calculus Final Exam

Calculus Final Exam

Assessment

Quiz

Mathematics

12th Grade

Medium

Created by

Jennifer Brinkley

Used 1+ times

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32 questions

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1.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Media Image

For the following equation, approximate the area under the curve over the given interval using 4 right endpoints.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Evaluate the indefinite integral.

 (2x+2x36x4)dx\int_{ }^{ }\left(2x+2x^{-3}-6x^{-4}\right)dx  

 xx3+2x4+Cx-x^{-3}+2x^4+C  

 2x+C-2x+C  

 x2x2+2x3+Cx^2-x^{-2}+2x^{-3}+C  

 2x2+2x26x3+C2x^2+2x^{-2}-6x^{-3}+C  

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

∫ 2x cos( x2) dx

sin(x2) + C

2 sin ( 2x ) + C

(1/2) sin(x2) + C

4 cos(2x ) + C

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Evaluate the integral

30/3
31/3
29/3
32/3

5.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

Media Image

The graph of f consists of line segments and a semcircle, as shown. Evaluate the function by using geometric formulas, on interval [-5, 9]

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

On what interval(s) is the function y=x3 + 6x2

concave down?

(-∞,-4)

(-∞,-2)

(-2,∞)

(0,∞)

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Approximate the area under f(x)=x22x+1f\left(x\right)=\frac{x^2}{2}-x+1   on [-3,1] using n =4 trapezoids. 

13.333

13

14

12.5

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