Existence Theorem Assessment Test
10 Questions
| Total Attempts: 114
Existence theorems are mathematical theorems with a statement that begins with 'there exist(s). . '. It is a theorem with a prenex normal form involving the existential quantifier. Take this test to find out more.
Questions and Answers
- 1.
![Find the differential dy of the given function. y= 3x 2 - 4 - ProProfs]( "Find the differential dy of the given function. y= 3x 2 - 4")
Find the differential dy of the given function. y= 3x 2 - 4- A.
40x dx
- B.
12x dx
- C.
6x dx
- D.
36x dx
- 2.
![Find the limit. lim(4 + 3/x) x->∞ - ProProfs]( "Find the limit. lim(4 + 3/x) x->∞")
Find the limit. lim(4 + 3/x) x->∞- A.
1
- B.
2
- C.
3
- D.
4
- 3.
![The Rolle's Theorem is named after who? - ProProfs]( "The Rolle's Theorem is named after who?")
The Rolle's Theorem is named after who?- A.
Michel Rolle
- B.
Janet Rolle
- C.
Albert Rolle
- D.
Pierce Rolle
- 4.
![Find any critical numbers of the function. f(x)= x 3 - 3x 2 - ProProfs]( "Find any critical numbers of the function. f(x)= x 3 - 3x 2")
Find any critical numbers of the function. f(x)= x 3 - 3x 2- A.
X=1 , x=2
- B.
X=0 , x =3
- C.
X=1 , x=3
- D.
X=0 , x=2
- 5.
![If there is an open interval containing c on which f(c) is a maximun, then f(c) is called... - ProProfs]( "If there is an open interval containing c on which f(c) is a maximun, then f(c) is called...")
If there is an open interval containing c on which f(c) is a maximun, then f(c) is called...- A.
Absolute minimum
- B.
Relative maximum
- C.
Absolute maximum
- D.
Relative minimum
- 6.
![If f is continuous on a closed interval [a,b], then f has both a minimum and a maximum on the interval. - ProProfs]( "If f is continuous on a closed interval [a,b], then f has both a minimum and a maximum on the interval.")
If f is continuous on a closed interval [a,b], then f has both a minimum and a maximum on the interval.- A.
The mean value theorem
- B.
Pythagoraean theorem
- C.
Binomial theorem
- D.
The extreme value theorem
- 7.
![What is the average rate of change of the function below over the indicated interval? f(x) = x2 - 3x - 28, [-4,7] - ProProfs]( "What is the average rate of change of the function below over the indicated interval? f(x) = x2 - 3x - 28, [-4,7]")
What is the average rate of change of the function below over the indicated interval? f(x) = x2 - 3x - 28, [-4,7]- A.
11
- B.
66
- C.
6
- D.
0
- 8.
![What is the average rate of change of the function below over the indicated interval? f(x) = 12√(x), [1,16]? - ProProfs]( "What is the average rate of change of the function below over the indicated interval? f(x) = 12√(x), [1,16]?")
What is the average rate of change of the function below over the indicated interval? f(x) = 12√(x), [1,16]?- A.
12/5
- B.
0
- C.
1
- D.
24
- 9.
![What is x-value at which the function below has the same slope as the average rate of change over the indicated interval? f(x) = 12√(x), [1,16]?
- ProProfs]( "What is x-value at which the function below has the same slope as the average rate of change over the indicated interval? f(x) = 12√(x), [1,16]?")
What is x-value at which the function below has the same slope as the average rate of change over the indicated interval? f(x) = 12√(x), [1,16]?- A.
24
- B.
18.78
- C.
6.25
- D.
7.35
- 10.
![The graph of f is concave upward or downward on I if f ' is increasing on the interval... - ProProfs]( "The graph of f is concave upward or downward on I if f ' is increasing on the interval...")
The graph of f is concave upward or downward on I if f ' is increasing on the interval...- A.
Concave upwards
- B.
Convex upwards
- C.
Concave downwards
- D.
Convex downwards
![If f is continuous on a closed interval [a,b], then f has both a minimum and a maximum on the interval. - ProProfs](https://media.proprofs.com/images/QM/user_images/2170919/1514457213.png "If f is continuous on a closed interval [a,b], then f has both a minimum and a maximum on the interval.")
![What is the average rate of change of the function below over the indicated interval? f(x) = x2 - 3x - 28, [-4,7] - ProProfs](https://media.proprofs.com/images/QM/user_images/2170919/1514457445.JPG "What is the average rate of change of the function below over the indicated interval? f(x) = x2 - 3x - 28, [-4,7]")
![What is the average rate of change of the function below over the indicated interval? f(x) = 12√(x), [1,16]? - ProProfs](https://media.proprofs.com/images/QM/user_images/2170919/1514457552.JPG "What is the average rate of change of the function below over the indicated interval? f(x) = 12√(x), [1,16]?")
![What is x-value at which the function below has the same slope as the average rate of change over the indicated interval? f(x) = 12√(x), [1,16]?
- ProProfs](https://media.proprofs.com/images/QM/user_images/2170919/1514458315.png "What is x-value at which the function below has the same slope as the average rate of change over the indicated interval? f(x) = 12√(x), [1,16]?")
Trivia Questions Quiz On Cima Masters Gateway Assessment! A lot of people strive to get their master’s degree, some institutions vie CIMA as a master’s degree. Do you want to join the program but are worried you...
Questions: 10 | Attempts: 14763 | Last updated: Oct 21, 2019
-
Sample QuestionMicrobial fuel cells are considered a source of sustainable energy. Why? 1. They use living organisms as catalysts to generate electricity from certain substrates. 2. They use a variety of inorganic materials as substrates. 3. They can be installed in wastewater treatment plants to cleanse water and produce electricity. Which of the statements given above is/are correct?
Can You Pass The Educational Interpreter Performance Assessment Test? Educational interpreters are charged with translating classwork for students that have a hard time when it comes to hearing or is deaf. If you think you are...
Questions: 31 | Attempts: 8284 | Last updated: Oct 14, 2020
-
Sample QuestionWhat are the multiple levels or layers to analyzing a message?
Please select the best answer/s that fits with each question! Good luck!
Questions: 8 | Attempts: 6592 | Last updated: Dec 14, 2012
-
Sample QuestionWhich of the following would you NOT inspect while observing gait?
Back to top