Calculus - linear, rectangular, trapezoidal approximations

Calculus - linear, rectangular, trapezoidal approximations

12th Grade

13 Qs

quiz-placeholder

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Calculus - linear, rectangular, trapezoidal approximations

Calculus - linear, rectangular, trapezoidal approximations

Assessment

Quiz

Mathematics

12th Grade

Medium

CCSS
HSF.IF.B.4, HSF.LE.A.2

Standards-aligned

Created by

Jeffrey Sabol

Used 15+ times

FREE Resource

13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

f(x) = x3 - x
Use a linear approximation centered at x = 2 to find f(2.5).
10.5
11
11.5
12

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

f(x) = 3x2
Will linear approximations to f give values that are higher than or lower than the actual value?
Higher
Lower

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image
Based on the table, use a left Riemann sum and 4 sub-intervals to estimate the Area under the curve. (Choose the correct set-up.) 
5(3) + 1(4) + 2(5) + 1(7)
5(4) + 1(5) + 2(7) + 1(6)
5(3) + 6(4) + 8(5) + 9(7)
0(3) + 5(4) + 6(5) + 8(7)

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

Find the right-hand Riemann Sum, with three sub-intervals indicated by the table.

28

16

34

21

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If an increasing or decreasing function is concave up, a Trapezoidal approximation is which of the following:
Underestimate
Unable to Determine
Overestimate
Exact Solution

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image
Using 5 subintervals, calculate the distance traveled using a left sum.
360
420
396
390

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Use a trapezoidal sum with four intervals from the table to estimate the integral of 0 to 9 of V(t).

64

67

93

151/2

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