Calculus Optimization Challenge

Calculus Optimization Challenge

12th Grade

10 Qs

quiz-placeholder

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Calculus Optimization Challenge

Calculus Optimization Challenge

Assessment

Quiz

Others

12th Grade

Practice Problem

Hard

Created by

Asresa Amsalu

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum value of the function f(x) = -2x^2 + 4x + 1?

4

1

2

3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the minimum point of the function g(x) = x^3 - 3x^2 + 4.

(0, 4)

(2, 0)

(-1, 6)

(√2, 2 - 2√2)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Determine the critical points of the function h(x) = 3x^4 - 8x^3 + 6.

x = 1

x = -2

x = 0, x = 2

x = 3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Using calculus, find the dimensions of a rectangle with a perimeter of 20 that maximizes the area.

2, 8

5, 5

3, 7

4, 6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A farmer wants to fence a rectangular area using 100 meters of fencing. What dimensions will maximize the area?

25 meters by 25 meters

20 meters by 30 meters

15 meters by 35 meters

10 meters by 40 meters

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the point on the curve y = x^2 + 2x that is closest to the point (1,0).

(0, 0)

(1, 1)

(2, 4)

(-1, 1)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the maximum profit if the profit function is given by P(x) = -5x^2 + 50x - 100?

30

20

15

25

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