Search Header Logo

Application of Calculus(Stationary Points)

Authored by Mr Tsoi-a-Sue

Mathematics

10th - 11th Grade

Used 18+ times

Application of Calculus(Stationary Points)
AI

AI Actions

Add similar questions

Adjust reading levels

Convert to real-world scenario

Translate activity

More...

    Content View

    Student View

6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following options represent the coordinates of the stationary point(s) of 

 y=x33x29x+4y=x^3-3x^2-9x+4  

 (1,3) & (12,12)\left(-1,3\right)\ \&\ \left(-12,12\right)  

 (1,9) & (3,23)\left(-1,9\right)\ \text{}\&\ \left(3,-23\right)  

 (1,12) & (3,12)\left(-1,-12\right)\ \&\ \left(3,12\right)  

 (1,3) & (9,23)\left(-1,3\right)\ \&\ \left(9,-23\right)  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The critical points of the function

 y=3x48x330x2+72xy=3x^4-8x^3-30x^2+72x  are given by  (2,152)\left(-2,-152\right)  , (1,37)\left(1,37\right)  and  (3,27)\left(3,-27\right)  .Which of the following statements are true.

Maximum values occur at  (1,37) & (3,27)\left(1,37\right)\ \&\ \left(3,-27\right)  

Minimum values occur at  (2,152) & (3,27)\left(-2,-152\right)\ \&\ \left(3,-27\right)  

Minimum values occur at  (2,152) & (1,37)\left(-2,-152\right)\ \&\ \left(1,37\right)  

Maximum value only occurs at  (3,27)\left(3,-27\right)  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following options represent the stationary point(s) of y=4x+1xy=4x+\frac{1}{x}  ?


 (12,12)\left(\frac{1}{2},-\frac{1}{2}\right)  

 (4,4) & (12,12)\left(4,-4\right)\ \&\ \left(\frac{1}{2},-\frac{1}{2}\right)  

 (12.4) & (12,4)\left(\frac{1}{2}.4\right)\ \&\ \left(-\frac{1}{2},-4\right)  

 (4,4)\left(4,-4\right)  

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The stationary points of a curve are given by (5,1123) & (3,15)\left(5,11\frac{2}{3}\right)\ \&\ \left(3,15\right) . The expression which best describes  dydx\frac{dy}{dx}  is given by: 


 dydx =x2+18x+45\frac{dy}{dx\ }=x^2+18x+45  

 dydx =x2+8x+15\frac{dy}{dx\ }=x^2+8x+15  

 dydx =3x280x+525\frac{dy}{dx\ }=3x^2-80x+525  

 dydx =x28x+15\frac{dy}{dx\ }=x^2-8x+15  

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A farmer wants to create a temporary pen for his sheep. He has 100 meters of fencing and a stone wall available. He decides that the shape of his pen would be a rectangle. Which of the following equations represent the area of the enclosure?


Hint: Please copy or take note of this question as the answer can help for question (6).

A=50xx2A=50x-x^2

A=100x2A=100x^2

A=100x2x2A=100x-2x^2

A=200xA=200x

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

A farmer wants to create a temporary pen for his sheep. He has 100 meters of fencing and a stone wall available. He decides that the shape of his pen would be a rectangle. What is the maximum area that the farmer could enclose?

1 250 m21\ 250\ m^2

2 500 m22\ 500\ m^2

1 875 m21\ 875\ m^2

625 m2625\ m^2

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?